57 ranked entries (highest score first, 5 with PDF summaries)

The confinement of molecules within the van der Waals (vdW) gap between a two-dimensional (2D) material and a catalytic substrate offers a promising route toward the development of molecule-selective catalysts with increased reaction rates and access to chemically distinct reaction environments. However, identifying the kinetic limitations and mechanistic consequences of such confined reactions remains challenging. Here, we employ an inverted wedding cake configuration of multilayer graphene on platinum to study the dynamics of graphene etching within the vdW gap by O2, H2, and CO using in situ scanning electron microscopy. Under the experimental conditions explored (up to p = 1.4 × 10-2 Pa and T = 1000 °C), the etching reactions are supply limited for O2 and H2. The reaction-limited regime is not observed even for CO, despite its anomalously enhanced transport resulting from a pronounced lifting of the vdW gap. Reactive molecular dynamics simulations reveal that confinement within the vdW gap enables additional CO-mediated etching pathways that are absent on open Pt surfaces. Our results demonstrate that intercalation does not primarily reduce reaction barriers but instead creates a confined, high-chemical-potential nanoreactor in which new reaction pathways can be accessed at comparatively low external pressures.

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The paper investigates the role of remote bands in the orbital magnetization of twisted bilayer graphene (TBG), particularly in correlated phases at integer fillings. It highlights the significant contribution of remote bands to the magnetic response, contrasting with topological invariants like the Chern number (Li2023 pages 1-1, Li2023 pages 1-2). The study identifies correlated insulating states at integer fillings, especially Chern insulating states at fillings ν=±3, which break C2T symmetry (Li2023 pages 2-3, Li2023 pages 3-4). The research finds that Chern insulating phases exhibit larger orbital magnetization, explaining their stabilization under magnetic fields (Li2023 pages 1-2). The orbital magnetization shows a linear dependence on the chemical potential within the insulating gap, with Chern insulator states being energetically favored in a magnetic field (Li2023 pages 5-6). The study establishes a systematic approach for evaluating orbital magnetization in correlated moiré systems, emphasizing the role of interactions and remote bands in shaping orbital ferromagnetism (Li2023 pages 1-2).

Methods

The study employs a gauge-invariant framework within the self-consistent Hartree-Fock approximation to compute orbital magnetization in TBG (Li2023 pages 1-1, Li2023 pages 1-2). The analysis focuses on the effects of electron-electron Coulomb interactions and the role of Berry curvature and Chern numbers in the topology of electronic states (Li2023 pages 2-3). The research requires careful convergence with respect to the number of included remote bands, with convergence achieved for ncut ≈20, respecting particle-hole symmetry between ν=3 and ν=-3 (Li2023 pages 3-4). The study also examines the linear dependence of orbital magnetization on the chemical potential within the insulating gap (Li2023 pages 5-6).

Original Abstract/Summary:
Motivated by recent theoretical and experimental works on orbital magnetization $M_{\mathrm{orb}}$ for the interacting system, we develop a gauge-invariant framework to compute $M_{\mathrm{orb}}$ for correlated phases of magic-angle twisted bilayer graphene within self-consistent Hartree-Fock approximation. Based on the projector formulation of the theory of orbital magnetization, we evaluate both $M_{\mathrm{orb}}$ and the self-rotation contribution $m_{\mathrm{SR}}$ directly from the Hartree-Fock Hamiltonian. We demonstrate that, in contrast to topological invariants such as the Chern number, both $M_{\mathrm{orb}}$ and $m_{\mathrm{SR}}$ obtain substantial contributions from remote bands and thus require careful convergence with respect to the number of included remote bands. Applying this approach to correlated phases at integer fillings, we obtain converged $M_{\mathrm{orb}}$ and $m_{\mathrm{SR}}$ for time reversal symmetry broken Chern insulating states at $\nu=\pm3$ and for competing correlated phases at other integer fillings. Our results establish a systematic and controlled approach for evaluating orbital magnetization in correlated moir\'e systems and clarify the crucial role of remote bands in determining their magnetic response.
Open article

Nature, Published online: 04 March 2026; doi:10.1038/s41586-026-10212-4

The synthesis of millimetre-sized phase-pure hexagonal diamond, a polymorph of cubic diamond, by compressing highly oriented pyrolytic graphite under high pressures and temperatures is reported, providing new insight into the graphite-to-diamond transformation pathway.

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The study explores the role of the dielectric environment in the optical and quantum properties of single-photon emitters (SPEs) in WSe2/Clinochlore van der Waals heterostructures. It identifies that localized emitters originate from intrinsic defect states near the conduction band, hybridized with dark exciton states, with interface coupling enhancing photoluminescence quantum yield due to iron impurities in Clinochlore (Rosa2023 pages 1-2). The research highlights the impact of lattice defects and local strain in generating SPEs, with significant photoluminescence enhancement observed on Clinochlore substrates compared to SiO2 (Rosa2023 pages 2-4). Magneto-optical spectroscopy reveals g-factors for excitons and trions, indicating hybridization with defects (Rosa2023 pages 4-5). The study also notes the influence of Fe impurities on optical absorption and decay dynamics, proposing a minimal model involving bright and dark Clinochlore states (Rosa2023 pages 7-8). Interface-induced dielectric modulation is crucial for engineering high-quality SPEs, emphasizing the interface's role in quantum device optimization (Rosa2023 pages 8-9).

Methods

The study employs time-resolved photoluminescence measurements to confirm the impact of dielectric contrast and Clinochlore thickness on optical properties (Rosa2023 pages 1-2). Photoluminescence excitation spectroscopy is used to explore optical and magneto-optical properties, with a focus on excitonic complexes (Rosa2023 pages 2-4). Magneto-optical spectroscopy determines g-factors for excitons and trions, with Hanbury Brown and Twiss measurements confirming single-photon emission (Rosa2023 pages 4-5). The research uses a minimal model to explain SPE emission decay dynamics, considering substrate refractive index and Clinochlore thickness (Rosa2023 pages 7-8). Interface-induced dielectric modulation is analyzed to understand its effect on photoluminescence quantum yield and single-photon purity (Rosa2023 pages 8-9).

Original Abstract/Summary:
Single-photon emitters in two-dimensional semiconductors offer a versatile platform for integrated quantum photonics, yet their performance is strongly influenced by local dielectric environments and substrate-induced disorder. Here, we examine SPEs in monolayer WSe$_2$ incorporated into hBN/WSe$_2$/Clinochlore van der Waals heterostructures and assess how interface-mediated dielectric modulation governs their optical and quantum characteristics. Low-temperature micro-photoluminescence reveals narrow emission lines (100 - 300 $\mu$eV) and robust non-classical behavior, with $g^{(2)}(0) = 0.13 \pm 0.02$ on SiO$_2$ and $0.54 \pm 0.02$ for emitters directly coupled to Clinochlore. Magneto-optical measurements yield effective g-factors near -8, consistent with defect states hybridized with dark excitons. WSe$_2$ on Clinochlore exhibits up to a fivefold enhancement in emission intensity, attributed to coupling with Fe-related substrate states that introduce resonant absorption near 1.75 eV. Kelvin probe force microscopy confirms strong dielectric contrast across thin and thick Clinochlore regions. Time-resolved photoluminescence shows that emitters on SiO$_2$ display a single $\approx 4$ ns lifetime, whereas those on Clinochlore exhibit biexponential dynamics with sub-nanosecond and tens-of-nanoseconds decay components. A phenomenological model incorporating coupling to bright and dark Fe-related states in Clinochlore accounts for modified excitation pathways. These results establish interface dielectric engineering in vdW heterostructures as an effective strategy for tailoring the radiative dynamics and brightness of quantum emitters in atomically thin materials.
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The paper reports on a graphene-based zero-bias sub-terahertz detector with a bandwidth exceeding 43 GHz, achieved through a high-impedance antenna design matched to the graphene's resistance. The detector utilizes exfoliated graphene encapsulated between hBN flakes on a silicon substrate with a SiO2 layer, featuring a tooth-shaped electrode structure to enhance local absorption and the photothermoelectric effect. The design allows for efficient coupling of high-resistivity graphene to metal slots, maintaining a stable signal-to-noise ratio across the bandwidth. The device is scalable to large-area CVD wafers and adaptable across the THz range, making it promising for high-speed 6G communication systems. The study addresses the challenge of coupling long-wavelength radiation to small graphene areas by employing THz antennas, traditionally limited by parasitic effects. This work provides a practical solution for high-speed, low-power THz detectors, crucial for future communication technologies (Titova2023 pages 1-3, Titova2023 pages 3-4, Titova2023 pages 4-5, Titova2023 pages 1-1).

Methods

The experimental setup includes exfoliated graphene encapsulated between hBN flakes, placed on a silicon substrate with a SiO2 layer. The device features a high-impedance antenna design matched to the graphene's resistance of approximately 1 kOhm. A tooth-shaped electrode structure is used to enable zero-bias photodetection by enhancing local absorption and the photothermoelectric effect at the metal-graphene junction. The design includes impedance matching of the high-impedance THz antenna to the graphene channel and engineering of high-frequency electrical circuitry. The study employs geometrically structured contacts to achieve zero-bias detection, avoiding complex structures like p-n junctions. The bandwidth is limited by measurement equipment, and the signal-to-noise ratio remains stable across the measured bandwidth (Titova2023 pages 1-3, Titova2023 pages 3-4, Titova2023 pages 4-5, Titova2023 pages 1-1).

Original Abstract/Summary:
High-frequency terahertz (THz) detectors are vital for next-generation high-speed wireless communication systems. Graphene, with its high carrier mobility, broadband absorption, and weak electron-phonon coupling, offers great promise for ultra-fast THz photothermoelectric devices. Although graphene-based detectors in the infrared range have shown bandwidths above 500 GHz, extending their operation to the THz range is difficult because long-wavelength radiation does not efficiently couple to the small graphene area. To overcome this issue, THz antennas are often employed; however, their use typically limits system performance to only a few gigahertz due to parasitic effects. In this work, we present an antenna-coupled sub-THz graphene detector with a bandwidth exceeding 43 GHz. We optimized the detector design to minimize losses, match the antenna impedance to the 1 kOhm graphene channel, and maintain zero-bias operation. Importantly, we introduce a compact, turnkey packaged solution. Our results provide a practical route toward high-speed and low-power graphene THz detectors suitable for real-world communication and imaging applications.
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The paper explores atomic-scale Stark shift spectroscopy and microscopy, focusing on organic molecules under inhomogeneous electric fields. It decomposes the Stark shift into linear and quadratic components, with the linear shift mapping charge redistribution and the quadratic shift indicating changes in dipolar polarizability (Arrieta2026 pages 1-1). The study applies this framework to molecules like phthalocyanine derivatives and pentacene, showing that structural changes affect Stark responses (Arrieta2026 pages 1-2). Theoretical modeling of isostructural pairs like pentacene and quinacridone highlights the influence of chemical modifications and symmetry breaking on Stark shifts (Arrieta2026 pages 2-3). Time-dependent density functional theory (TDDFT) is used to analyze Stark shifts in H2Pc, focusing on charge redistribution and electron density reorganization (Arrieta2026 pages 3-4). The linear Stark shift is dominant in H2Pc, with charge rearrangement during excitation leading to specific electron density changes (Arrieta2026 pages 4-5).

Methods

The study employs scanning tunneling microscopy with an atomically sharp tip to apply inhomogeneous electric fields, enabling subnanometric mapping of charge redistribution (Arrieta2026 pages 1-1). Scanning-tunneling-microscope-induced-luminescence (STML) is used to analyze Stark-shift responses in organic molecules (Arrieta2026 pages 1-2). Theoretical modeling considers both planar and non-planar geometries to isolate effects of chemical modifications and symmetry breaking (Arrieta2026 pages 2-3). Time-dependent density functional theory (TDDFT) is utilized to provide Stark-shift maps and examine electronic structure and transitions (Arrieta2026 pages 3-4). Charge-density difference and field-induced charge density calculations are performed to understand Stark shifts in H2Pc, with the point-dipole approximation describing the quadratic shift (Arrieta2026 pages 4-5).

Original Abstract/Summary:
In conventional optical Stark-shift spectroscopy, molecules are exposed to spatially homogeneous static electric fields that shift the energies of their spectral lines. These shifts are attributed to the molecular electronic properties, such as variation of dipolar moment and polarizability of the molecule associated with photo(de)excitation. In realistic environments containing structural defects and nanoscale heterogeneities, however, molecules experience internal electric fields that vary strongly on the molecular scale, rendering the standard Stark selection rules inapplicable. Here we develop an extended theory of atomic-scale Stark shift, addressing such scenarios. Specifically, we present a detailed theoretical analysis of an experimentally relevant configuration where the atomically sharp tip of a light-assisted scanning tunneling microscope is used to controllably apply inhomogeneous electrostatic fields to representative molecular dyes spanning several molecular families. We decompose the total Stark shift into linear and quadratic contributions and show that they contain different information about the molecular properties. Concretely, spatial variations of the linear Stark shift as the tip scans across the molecule enable subnanometric mapping of the charge redistribution between ground and excited electronic states, with high sensitivity to molecular composition and chemical functionalization. The quadratic Stark contribution, in contrast, reflects changes in the conventional dipolar polarizability upon excitation. Together, these results establish nanoscale Stark-shift spectroscopy as a powerful tool for resolving excited-state charge dynamics in single molecules under realistic, strongly inhomogeneous electric fields.
Open article

Weak localization (WL) and weak antilocalization (WAL) of electrons in a disordered conductor refer to the decrease or increase of the conductivity caused by the quantum interference of the electronic motion. In graphene, the nontrivial Berry phase and the chiral nature of the charge carriers imply that both phenomena can be observed, as it has been firmly established in direct current (DC) magnetotransport experiments. However, studies of alternating current (AC) magnetoconductivity at frequencies comparable to, and much higher than, the dephasing rate ( τ ϕ − 1 ) remain unexplored. Using a combination of transport and spectroscopic measurements at low ( ω / 2 π 20 GHz ) and high ( ω / 2 π = 90 – 350 GHz ) frequencies compared to the dephasing rate, we demonstrate a frequency dependence in the optical magnetoconductivity of graphene in the limit ω τ ϕ ≫ 1 . We prove that spectroscopic measurements at low frequencies are well reproduced by the WL theory in the static limit ( ω = 0 ), with no appreciable changes in the magnetoconductivity at different frequencies as long as the condition ω τ ϕ 1 holds. At higher frequencies, the spectra exhibit transitions between WL and WAL induced solely by the external electromagnetic field, as they occur at constant temperature and carrier density. By analyzing the results with a WL model extended to finite frequencies, we observe that the usual decoherence mechanisms of inelastic scattering, in addition to the elastic processes of intervalley and long-range scattering, do not explain the observed behavior. Our results point to the need for a revised model for the decoherence dynamics in the limit ω τ ϕ ≫ 1 .

Open article

Graphene supported on Si(111) (short Gr/Si) is one of the very few examples of a metal-free carbon catalyst that catalyzes gas–surface reactions. Kinetics measurements indicate dissociation of SO 2 and H 2 S but molecular adsorption of N 2 O. In addition, spectroscopy revealed adsorbed sulfur after SO 2 and H 2 S adsorption. Experiments were conducted at ultrahigh vacuum conditions, using kinetics techniques [i.e., thermal desorption spectroscopy (TDS)], spectroscopy [Auger electron spectroscopy (AES), Raman, X-ray photoelectron spectroscopy (XPS)], and imaging techniques [scanning tunneling microscopy (STM), low-energy electron diffraction]. Deviations of the gas-phase fragmentation pattern and multimass TDS pattern were observed. AES revealed adsorbed sulfur after SO 2 and H 2 S adsorption. Thus, SO 2 and H 2 S decompose, which contrasts with N 2 O, where only the molecular pathway was present. Density functional theory (DFT) confirms experimental observations. Whereas pristine Gr/Si is nonreactive, DFT modeled grain boundary defects (GBD) (as seen by STM) are the active sites for the decomposition. GBD consist of interfacial defects and surface defects (as seen by XPS). Because carbon and silicon are inexhaustible, Gr-based metal-free catalysts would be a paradigm change. Moreover, breaking H 2 S down into H 2 would allow for recycling that waste gas and synthesizing green hydrogen.

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The study explores the electronic phases of monolayer VSe2 interfaced with Au(111) substrates, identifying three distinct electronic regimes. Strong coupling to gold suppresses the charge density wave (CDW) and induces moiré modulations in monolayers, while bilayers maintain a 4a×4a CDW. Strained, electronically decoupled monolayers exhibit a √3a×√7a CDW phase. The research highlights the role of substrate interaction and hybridization in tuning electronic order, with variability in CDW transition temperatures and energy gaps across different substrates and conditions. The study also notes a pseudo-doping effect due to strong hybridization, leading to a heavily electron-doped state in coupled monolayers. Reversible switching between coupled and decoupled states is observed, with coupled monolayers showing a metallic spectrum and decoupled areas exhibiting more variability (Pushkarna2023 pages 1-1, Pushkarna2023 pages 1-3, Pushkarna2023 pages 3-4, Pushkarna2023 pages 4-5, Pushkarna2023 pages 8-10).

Methods

The study employs density functional theory (DFT) calculations to support experimental findings, focusing on the effects of interface hybridization on CDW patterns. Monolayer and bilayer VSe2 flakes are interfaced with Au(111) substrates, and the electronic phases are analyzed through spectroscopic techniques. The experimental setup includes the use of scanning tunneling microscopy (STM) to observe moiré patterns and CDW modulations. Parameters such as twist angle and strain are varied to study their impact on electronic phases. The analysis involves comparing the electronic spectra of coupled and decoupled monolayers, with a focus on the suppression of CDW and emergence of moiré patterns (Pushkarna2023 pages 1-1, Pushkarna2023 pages 1-3, Pushkarna2023 pages 3-4, Pushkarna2023 pages 4-5, Pushkarna2023 pages 8-10).

Original Abstract/Summary:
Competing electronic phases in two-dimensional transition metal dichalcogenides constitute a fertile platform for uncovering emergent ground states and elucidating the control parameters that govern the correlated electron phases. Among these materials, vanadium diselenide is particularly compelling: while the bulk hosts a well-established charge density wave (CDW), monolayers exhibit markedly different electronic behavior. Here, we identify three distinct electronic regimes in mechanically exfoliated VSe$_2$ flakes on Au(111) substrates, where interfacial hybridization, charge transfer, and strain act as primary tuning parameters of electronic order. Monolayers strongly coupled to gold show complete suppression of the CDW, accompanied by the emergence of moir\'e modulations. In contrast, bilayers preserve the in-plane $4a \times 4a$ CDW characteristic of the bulk limit. Strained, electronically decoupled monolayers formed in suspended membrane and bubble regions stabilize a $\sqrt{3}a\times\sqrt{7}a$ CDW phase, underscoring the reversible role of substrate interaction and hybridization.
Open article

We study the electronic properties of a linear trans-polyacetylene (tPA) molecule capacitively coupled to an external gate voltage $V_g$ of width $d$. We describe this system using the Takayama-Lin-Liu-Maki (TLM) model in the continuum, and analyze it within the Abelian bosonization formalism, which allows us to treat both electronic and lattice degrees of freedom and to incorporate the effects of repulsive Coulomb interactions among electrons. The global ground state describing simultaneously the electronic charge-density field as well as the lattice dimerization field of a tPA molecule is shown to consist of multikink solutions of a modified sine-Gordon equation for the charge-density field, which is controlled by $V_g$, the width $d$, and the Luttinger parameter $K$ encoding the strength of electron-electron interactions. These solutions belong to distinct topological sectors labeled by an integer invariant $q$ that simultaneously quantifies both the bound charge and the number of domain walls in the dimerization pattern induced at the gated region. Increasing $V_g$ drives a sequence of topological phase transitions characterized by abrupt changes in $q$. We further examine the effect of repulsive Coulomb interactions on the resulting topological phase diagram, and finally, we discuss the relevance of our findings for potential nanoelectronic devices based on gated tPA molecules.

Open article

Author(s): Dao-He Ma and Jin An

Topological nodal superconductors (SCs) have attracted considerable interest due to their gapless bulk excitations and exotic surface states. In this paper, by establishing a general framework of the effective theory for multiorbital SCs in the weak-pairing limit, we realize a class of three-dimensi…


[Phys. Rev. B 113, 104503] Published Wed Mar 04, 2026

Open article

Author(s): Jose Mario Galicia-Hernandez, Volodymyr Turkowski, Gregorio Hernandez-Cocoletzi, and Talat S. Rahman

We provide insights into the atomistic details of the ultrafast spatially resolved breakdown of the insulating ${\mathrm{M}}_{1}$ phase in bulk ${\mathrm{VO}}_{2}$ employing an ab initio technique based on dynamical mean-field theory and time-dependent density-functional theory. We find that the sys…


[Phys. Rev. B 113, 125109] Published Wed Mar 04, 2026

Open article

Chiral edge states in Chern insulators are theoretically predicted to propagate unidirectionally along the sample boundary with inherent robustness against local perturbations, which manifests as the immunity to impurity-induced backscattering, a key factor for the development of robust, high-performance quantum devices. However, the direct experimental verification of the robustness of chiral edge states remains scarce. Here, we experimentally validate the robustness of the chiral edge states in MnBi2Te4 devices featuring engineered geometric defects introduced via atomic force microscope (AFM) nanomachining. Specifically, under a moderate perpendicular magnetic field, the MnBi2Te4 devices exhibit the Chern insulator state, characterized by a quantized Hall plateau and simultaneously vanishing longitudinal resistance. To verify the robustness of this topological state, we modify the device geometry by cutting a slit using AFM nanomachining that severs the original edge channel. Remarkably, the quantization behavior survives this drastic modification. The robust nature of the chiral edge transport is further confirmed by two-terminal, three-terminal and non-local measurements, fully demonstrating that the edge currents can bypass the artificial cut without dissipation. Our results unambiguously demonstrate the robustness of chiral edge states against geometric disruption and establish AFM nanomachining as a promising technique for topological quantum devices engineering.

Open article

Monolayer SnS2 has emerged as a promising visible-light photocatalyst for photoelectrochemical applications, owing to its strong optical absorption in the visible range and excellent chemical stability. Despite its reduced dimensionality - where excitonic effects are expected to be pronounced - comprehensive theoretical investigations of bound excitons in this material remain scarce. Notably, unlike most two-dimensional hexagonal crystals, monolayer SnS2 exhibits its lowest single-particle transition at the M point of the Brillouin zone (BZ). Here, the electronic valence bands form a saddle point while conduction states display a minimum with pronounced anisotropy, creating a distinctive band topology whose impact on optical excitations has not yet been systematically explored. In this work, we present a first-principles study of bound excitons in monolayer SnS2 based on state-of-the-art many-body perturbation theory, employing the GW approximation and the Bethe-Salpeter equation (BSE). We analyze how band symmetry and anisotropy shape the excitonic wavefunctions and transition dipole moments. By resolving the exciton dipoles in momentum space for different linear light polarizations, we demonstrate that linearly polarized light lifts the C3 rotational symmetry relating the three inequivalent M points, giving rise to three linearly independent excitonic states. This polarization-selective coupling, previously identified for saddle points in graphene, is achieved in SnS2 for bound excitons and provides a potential route toward state encoding schemes in valleytronics applications.

Open article

Author(s): Mou Yang, Yun-Peng Kong, Hou-Jian Duan, Ming-Xun Deng, and Rui-Qiang Wang

We investigate the transport properties of the interface between normal and superconducting Weyl semimetals. We find that the Fermi arcs on the junction interface consist of two types of arc fragments: localized Fermi arcs, composed of states entirely confined to the interface, and resonant Fermi ar…


[Phys. Rev. B 113, 115303] Published Wed Mar 04, 2026

Open article

Author(s): T. Wakamura, M. Hashisaka, Y. Nomura, M. Bard, S. Okazaki, T. Sasagawa, T. Taniguchi, K. Watanabe, K. Muraki, and N. Kumada

We present a systematic investigation of superconductivity in a topological superconductor candidate ${T}_{d}{\text{-MoTe}}_{2}$ in the few-layer limit. By examining multiple mechanically exfoliated samples with different thicknesses, substrates, and crystal qualities, we quantitatively correlate su…


[Phys. Rev. B 113, 094503] Published Wed Mar 04, 2026

Open article

We investigate quantum transport in a hybrid system composed of two quantum dots (QDs) coupled through a pair of spatially separated Majorana zero modes (MZMs) with negligible coupling energy. We focus on nonlocal correlations mediated by the MZMs, particularly the role of Coulomb interaction U between the QDs and the Majorana wire. Using the numerically exact fermionic dissipation equation of motion (DEOM) method, we compute both the transient current and the current-current cross-correlation noise spectrum. In the non-interacting case (U=0), destructive interference between the degenerate normal tunneling and anomalous tunneling channels suppresses electron teleportation between the dots. Introducing a finite Coulomb interaction $U$ lifts this channel degeneracy, enabling strong nonlocal correlations and inter-dot electron teleportation. This effect manifests as a robust signal in the cross-correlation noise spectrum, which is significantly stronger than that induced by a finite Majorana coupling energy $\varepsilon_{M}$. Our findings propose Coulomb interaction as an efficient and experimentally accessible control parameter for generating and detecting Majorana-mediated nonlocal transport in the topologically relevant long-wire limit ($\varepsilon_{M}\rightarrow0$).

Open article

When colloidal particles are vertically confined to a gap of between 1.3-1.6 particle diameters, they pack into buckled crystals of particles in either "up" or "down" states. Neighboring particles tend to occupy opposite states, analogous to the behavior of antiferromagnetic spins. The particles sit on a nearly-triangular lattice, and the spins of trios of adjacent particles are geometrically frustrated. Two levels of translational order exist in this system: that of the underlying triangular lattice in the horizontal plane, and that of the emergent frustrated spin lattice in the vertical dimension. We study the topological defects of both levels of translational order, and we find that both types of defects play a role in crystal grain boundary structure and spin domain coarsening. We classify the spin defects and outline the basic rules for their motion, and we observe interactions between dislocations and spin defects. Finally, we map the phase space of spin coarsening in the buckled monolayer, characterizing which types of defects drive the dynamics. Understanding defect formation, motion, and interaction in the buckled monolayer is the first step in predicting the material properties and aging of this geometrically frustrated, self-assembled system.

Open article

Mixed-state phases have recently attracted significant attention as a generalization beyond their pure-state counterparts. Prominent examples include mixed-state symmetry-protected topological (mSPT) phases and the strong-to-weak symmetry breaking (SWSSB) phases. It has been shown recently that mSPT phases admit a holographic dual description in terms of higher-order subsystem SPT phases. In this work, we investigate the mixed-state phases obtained by tracing out the bulk degrees of freedom of higher-order subsystem SPT phases protected by non-invertible symmetries. We find that the resulting mixed states exhibit the coexistence of the symmetry-protected topological order and SWSSB. We also use the interface as a probe to characterize the mixed state phases, and specifically, when there is no local modification to preserve the symmetries across the interface, the two sides of the interface are in distinct phases.

Open article

Domain wall (DW) motion is a crucial process involved in magnetization reversal, be it under magnetic field or spin-polarized current stimulus. In most cases DW speed does not exceed $\approx$100m/s and collapses above a given threshold of the stimulus, an effect known as Walker breakdown. A few specific material properties have been identified to delay the breakdown of speed by increasing the energy barrier preventing internal precession. We show that in a 3D nanomagnetic system, here with vortex-state domains, the topology of the magnetization distribution may intrinsically and robustly delay the Walker breakdown due to an exchange-spring effect. In addition, curvature induces a major non-reciprocal effect, delaying or not the Walker breakdown depending on the chirality of the azimuthal domain versus the direction of motion of the DW.

Open article

Precise and high efficiency concentration of mid-infrared (mid-IR) light into sub wavelength volumes is essential for probing low-energy excitations and achieving strong field enhancements, which can be hindered by absorption losses and coupling inefficiencies at long wavelengths. Here, we introduce an innovative diamond-based metal-insulator-metal campanile probe that adiabatically compresses free-space mid infrared light (10 \mum) into \approx 1 \mum domains. Integrated into a scanning photovoltage microscope, the probe enables sub-wavelength mapping of locally driven photocurrents in graphene, resolving polarization dependent and contact-sensitive responses at energies down to \approx 0.1 eV. Experiments reveal a photocurrent signal density enhancement of 10^3 and coupling efficiencies approaching 80%, in agreement with numerical simulations. Operation of the probe with quantum cascade and free electron lasers demonstrates a robust, spectrally tunable platform for high-resolution exploration of low-energy carrier dynamics in atomically thin materials, opening opportunities for mid-IR optoelectronics and quantum photonics.

Open article

Remote plasma-assisted vapour deposition under nitrogen (RPAVD-N2) is introduced as a single-step, solvent-free, room-temperature strategy to integrate iron(II) phthalocyanine (FePc) into carbon nanofiber (CNF) scaffolds for high-performance pseudocapacitive electrodes. In this process, CNFs are activated by low-energy N2 remote plasma and subsequently exposed to sublimated FePc, which undergoes controlled plasma polymerisation to form conformal, nitrogen-rich FePc-derived coatings while preserving Fe-N coordination. By tuning the plasma power, the degree of crosslinking, defect generation and molecular fragmentation is precisely controlled. Structural and spectroscopic analyses reveal progressive incorporation of amine, nitrile and oxygenated functionalities while maintaining the Fe-N coordination environment, with 30 W power providing the optimal balance between structural integrity and defect density. Plasma processing enhances the capacitance by nearly one order of magnitude compared to sublimated FePc films, underscoring the critical role of plasma-induced molecular integration. The FePc30W@CNFs electrode delivers 80.9 F/g at 0.25 A/g (areal capacitance 0.92 mF/cm2 at 2.9 mA/cm2), achieves 7.42 Wh/kg at 225 W/kg, and retains 86.5% of its initial capacitance after 6000 cycles. These results demonstrate that remote plasma polymerisation enables robust, high-rate and durable phthalocyanine-based electrodes, establishing RPAVD as a scalable platform for next-generation energy-storage materials.

Open article

Controllable doping in AlN and its alloys is essential for deep-ultraviolet light sources. Ionization energies for donors in AlN ($\mathrm{Si_{Al}}$, $\mathrm{S_N}$, $\mathrm{Se_N}$) are high. We report first-principles calculations demonstrating that strain engineering can result in a reduction in ionization energies. The donor levels for $\mathrm{S_N}$ and $\mathrm{Se_N}$ shift closer to the conduction-band minimum (CBM) under in-plane tensile strains, driven by a downward shift of the CBM. The most widely used donor, $\mathrm{Si_{Al}}$, forms a $DX$ center in AlN. We find that a 2.5% in-plane tensile strain (which would be induced by pseudomorphic growth on GaN in experiment) shifts the ($+/-$) transition level from 271 meV to 98 meV below the CBM, which would enhance the electron concentration by three orders of magnitude. These results demonstrate that strain engineering offers an effective route to enhance doping levels in AlN.

Open article

Coulomb blockade (CB) arises in nanoscale systems with ultra-small capacitance, where discrete charging effects dictate electron transport, enabling wide-ranging applications based on single-electron transistors. Despite established electrostatic control of charge states in quantum dots and nanoislands, a rigorous quantitative link between junction parameters and the CB spectrum remains elusive. Here, using scanning tunneling spectroscopy, we investigate the spatial variation of CB in indium nanoislands on semiconducting black phosphorus. We observe spatially dispersive charging resonances whose trajectories exhibit a finite shift of the symmetry axis in bias as well as a pronounced asymmetric curvature. By comparing the experimental results with calculations based on orthodox theory, we show that these features originate from work function differences in the junctions, underscoring the importance of junction-specific electrostatics in nanoscale charge transport.

Open article

Author(s): Vijaysankar Kalappattil, Chuanpu Liu, Zhijie Chen, Vipul Sharma, Kai Liu, Jinke Tang, Steven S.-L. Zhang, and Mingzhong Wu

Quantum oscillations in nonlinear electrical transport reveal the geometry and spin orientation of the Fermi surface in the Dirac semimetal α-Sn.


[Phys. Rev. Lett. 136, 096603] Published Wed Mar 04, 2026

Open article

Author(s): Adam H. T. P. Höfler, Iurii Chubak, Christos N. Likos, and Jan Smrek

By breaking translational symmetry, topological constraints together with heterogeneous fluctuations can induce persistent directional motion in dense polymer systems, providing a deeper understanding of living chromatin dynamics.


[Phys. Rev. X 16, 011046] Published Wed Mar 04, 2026

Open article

Author(s): Alexandre Bertin, Hengdi Zhao, Gang Cao, Andrea Piovano, Paul Steffens, Alexandre Ivanov, and Markus Braden

Na2IrO3 is one of the most studied Kitaev materials, but the microscopic interactions remain controversial leaving the imminent question open, whether Na2IrO3 shows or approaches a quantum spin liquid phase. The authors overcome here the challenges to perform neutron scattering experiments on highly absorbing Na2IrO3 by aligning a large number of thin crystals. These experiments reveal a small gap in the magnetic excitations similar to the sister compound α-RuCl3. However, Na2IrO3 does not exhibit low-energy ferromagnetic excitations reflecting nearest-neighbor Kitaev and Heisenberg interaction terms with opposite signs.


[Phys. Rev. B 113, 094407] Published Wed Mar 04, 2026

Open article

With the advent of quantum simulators, exploring exotic collective phenomena in lattice models with local symmetries and unconventional geometries is at reach of near-term experiments. Motivated by recent progress in this direction, we study a $\mathbb{Z}_2$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell hosting the $\mathbb{Z}_2$ gauge fields. Elementary Wilson loops along pairs of these bonds allow to identify a dynamical gauge-invariant flux, responsible for Aharonov-Bohm-like interference effects in the tunneling dynamics of charged matter residing on the vertices. Focusing on an odd number of links, we show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability. We find inhomogeneous phases in which an ordered pattern of the gauge fluxes spontaneously breaks translational invariance, and intertwines with a bond order wave for the gauge-invariant kinetic matter operators. Long-range order is shown to coexist with symmetry protected topological order, which survives the quantum fluctuations of the gauge flux induced by an external electric field. Doping the system above half filling leads to the formation of topological soliton/anti-soliton pairs interpolating between different inhomogeneous orderings of the gauge fluxes. By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization. Quasiparticles carrying fractional charge and bound at the soliton centers can be arbitrarily separated without feeling a confining force, in spite of the long-range attractive interactions set by the small electric field on the individual integer charges.

Open article

Electronic phases in quantum materials are often governed by nanoscale inhomogeneity, where local order develops within spatially confined regions or puddles. A prominent example is an incommensurate charge-density-wave (I-CDW) that comprises locally commensurate domains. In 2$H$-NbSe$_2$, such an I-CDW state persists alongside lattice anharmonicity and superconductivity, raising fundamental questions about the dynamical stabilization of CDW order in puddles. Here, we probe the puddle-dynamics in 2$H$-NbSe$_2$. Raman scattering reveals a strong Fano-coupling between the interlayer shear vibration and the CDW amplitude mode. Time-resolved reflectivity measurement shows a low-frequency ~0.15 THz coherent overdamped oscillation onsetting within the CDW regime at ~17 K, pointing towards a so far unexplored transition. This we identify as a Fano-coupled phonon-CDW hybrid emerging from the collective dynamics of CDW puddles. These dynamics highlight how lattice pinning and electronic correlations in layered materials affect the CDW order, which is crucial for the design of novel Van der Waals devices.

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Quantum measurements are the means by which we recover messages encoded into quantum states. They are at the forefront of quantum hypothesis testing, wherein the goal is to perform an optimal measurement for arriving at a correct conclusion. Mathematically, a measurement operator is Hermitian with eigenvalues in [0,1]. By noticing that this constraint on each eigenvalue is the same as that imposed on fermions by the Pauli exclusion principle, we interpret every eigenmode of a measurement operator as an independent effective fermionic mode. Under this perspective, various objective functions in quantum hypothesis testing can be viewed as the total expected energy associated with these fermionic occupation numbers. By instead fixing a temperature and minimizing the total expected fermionic free energy, we find that optimal measurements for these modified objective functions are Fermi-Dirac thermal measurements, wherein their eigenvalues are specified by Fermi-Dirac distributions. In the low-temperature limit, their performance closely approximates that of optimal measurements for quantum hypothesis testing, and we show that their parameters can be learned by classical or hybrid quantum-classical optimization algorithms. This leads to a new quantum machine-learning model, termed Fermi-Dirac machines, consisting of parameterized Fermi-Dirac thermal measurements-an alternative to quantum Boltzmann machines based on thermal states. Beyond hypothesis testing, we show how general semidefinite optimization problems can be solved using this approach, leading to a novel paradigm for semidefinite optimization on quantum computers, in which the goal is to implement thermal measurements rather than prepare thermal states. Finally, we propose quantum algorithms for implementing Fermi-Dirac thermal measurements, and we also propose second-order hybrid quantum-classical optimization algorithms.

Open article

EuAg$_4$Sb$_2$ is a model material to study the interplay of electronic and spin texture degrees of freedom, exhibiting numerous multi-$q$ magnetic textures coupled with the electronic properties. It is generally understood that some combination of conduction-electron mediated interactions, frustration, and higher order interactions are responsible for complex incommensurate spin textures in centrosymmetric lanthanide materials. Here, we refine an effective model of the magnetic interactions in EuAg$_4$Sb$_2$ through measurements of diffuse magnetic neutron scattering above the ordering temperature. These diffuse measurements reveal a ring of fluctuating spin modulations that reflects a manifold of nearly degenerate propagation vectors known as a spiral spin liquid (SSL). We further identify that this approximate $U$(1) symmetric SSL emerges from magnetic interactions mediated by a quasi-2D hole pocket and exhibits critical scaling of the spatial correlations. Further, Monte Carlo simulations reveal excellent agreement with experiment and provide a comprehensive understanding of the phase diagram. This study emphasizes the connection between the rich spin textures in this material, the electronic structure, and spin liquidity$\unicode{x2014}$uncovering new insights into design principles for nano-scale spin texture materials with advantageous intertwined electronic, magnetic, and topological properties, and new mechanisms for generating the physics of spiral spin liquids.

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For decades, mechanical resonators with high sensitivity have been realized using thin-film materials under high tensile loads. Although there have been remarkable strides in achieving low-dissipation mechanical sensors by utilizing high tensile stress, the performance of even the best strategy is limited by the tensile fracture strength of the resonator materials. In this study, a wafer-scale amorphous thin film is uncovered, which has the highest ultimate tensile strength ever measured for a nanostructured amorphous material. This silicon carbide (SiC) material exhibits an ultimate tensile strength of over 10 GPa, reaching the regime reserved for strong crystalline materials and approaching levels experimentally shown in graphene nanoribbons. Amorphous SiC strings with high aspect ratios are fabricated, with mechanical modes exceeding quality factors 10^8 at room temperature, the highest value achieved among SiC resonators. These performances are demonstrated faithfully after characterizing the mechanical properties of the thin film using the resonance behaviors of free-standing resonators. This robust thin-film material has significant potential for applications in nanomechanical sensors, solar cells, biological applications, space exploration and other areas requiring strength and stability in dynamic environments. The findings of this study open up new possibilities for the use of amorphous thin-film materials in high-performance applications.

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Author(s): Mou Yang, Hao Li, Hou-Jian Duan, Ming-Xun Deng, and Rui-Qiang Wang

When an electron beam is incident from a Weyl semimetal (WSM) onto another material and undergoes reflection, it exhibits a spatial shift. This shift depends on the in-plane wave vectors and displays vortex structures in the incident pocket (the projection of the Fermi surface) or on the pocket edge…


[Phys. Rev. B 113, 125302] Published Wed Mar 04, 2026

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Nature Reviews Physics, Published online: 04 March 2026; doi:10.1038/s42254-026-00928-7

Tomohiro Nobeyama remembers how a 2014 paper taught him about nanoparticle synthesis and how to write a good research article.

Open article

Frustrated kagome magnets provide a fertile platform for unconventional collective quantum phenomena, yet the role of lattice distortion in reorganizing magnetic degrees of freedom and controlling low-energy physics remains poorly understood. Here we report a rare realization of dimensional reduction in the distorted kagome material $\mathrm{YCa_3(CrO)_3(BO_3)_4}$, combining thermodynamic experiments with first-principles calculations and large-scale Monte Carlo simulations. Magnetic susceptibility and specific heat show no signatures of spin freezing or long-range magnetic order down to $65~\mathrm{mK}$ despite strong antiferromagnetic interactions. Instead, the susceptibility exhibits a broad maximum characteristic of quasi-one-dimensional spin correlations, while the magnetic specific heat follows a robust power law $C_{\mathrm{mag}}\sim T^2$ over more than a decade in temperature that remains unchanged in applied magnetic fields. This field-independent scaling rules out impurity or conventional magnon contributions and points to a collective low-energy excitation spectrum governed by frustration and local constraints. We show that a strongly hierarchical exchange network reorganizes the system into local antiferromagnetic dimers and weakly coupled spin chains, with frustrated inter-unit couplings suppressing three-dimensional order to ultralow temperatures. Our results demonstrate how a hierarchy of competing exchange interactions can reorganize a frustrated three-dimensional magnet into effectively lower-dimensional correlated units, stabilizing extended regimes of quantum-disordered behavior in realistic materials.

Open article

We resolve the phase diagram of the $S=1$ pyrochlore spin ice, which exhibits trivial paramagnetic, U(1) Coulomb, and spin nematic phases. In the monopole-free limit, the system can be effectively mapped onto 3D $XY$ and Ising loop-gas models depending on the spin anisotropy, which provides theoretical estimates for the phase boundaries, while a macroscopic flux vector classifies the topological sectors via geometric parity rules. At finite temperatures, thermal monopoles act as a symmetry-breaking field in the continuous $XY$ wave picture and topologically sever defect strings in the loop-gas picture, rounding the phase transitions into continuous crossovers. These theoretical findings are corroborated by classical Monte Carlo simulations.

Open article

The Integration Host Factor (IHF) is a nucleoid-associated protein critical for both DNA compaction and biofilm stability. While its role in DNA packaging within the cell is well understood, its structural role in scaffolding biofilms is more puzzling and difficult to reconcile with its known DNA bending activity. Here, we investigated how IHF-DNA interactions are modulated across a pH spectrum mimicking the acidic microenvironments of bacterial biofilms. By performing all-atom calculations we discovered that low pHs lead to a change in protonation of IHF residues, which in turn exposes positively charged patches. We then conjectured that these positively charged residues could lead to intermolecular DNA bridging and tested this hypothesis through single-molecule and bulk assays. We discovered that while at physiological pH IHF mostly bends DNA, at pH 5 there is clear evidence of IHF-mediated intermolecular crosslinking. Our results demonstrate that pH significantly modulates IHF-DNA interactions and explains the structural role played by IHF in supporting biofilm mechanics through intermolecular crosslinking.

Open article

Carbonaceous Chondrites have special significance in the stellar evolution and in particular in the evolution of life on earth. The carbonaceous meteorite that fell in Mukundpura village, Jaipur, Rajasthan on 6th June 2017 is one such rare CM2 (Carbonaceous Chondrite) carbonaceous meteorite. We carried out high resolution scanning and transmission electron microscopic (TEM) studies on typical thin sections, showing abundant grains of iridium (Ir), pentlandite (NiS), and more interestingly crystalline carbon (C). These crystallite carbon grains resemble nanodiamond like signature in the freshest Mukundpura meteorite. The high-resolution Raman spectroscopic measurements are carried out on the crystalline carbon grains, showing well resolved three distinct peaks with a vibrational mode at 1315 cm-1, with the onset of a weak vibrational mode at 1150 cm^-1, substantiating the observation of nanocrystalline diamond in Mukundpura meteorite. The broad peak centered at 1360 cm^-1 and 1575 cm^-1 (as an average), suggest the presence of graphitic carbon as well together with apparent presence of nanocrystalline diamond. The average size of nanocrystalline diamond is ~ 3-5 nm. High iridium content in this meteorite supports the meteoric impact related iridium anomaly in geological stratigraphic boundaries (e.g.Cretaceous-Tertiary boundary) that has caused mass extinction of flora and fauna.

Open article

Non-Hermitian systems host band degeneracies that are fundamentally distinct from those in Hermitian systems, most notably exceptional points (EPs) where both eigenvalues and eigenvectors coalesce. In three dimensional (3D) non-Hermitian systems, such degeneracies can form closed exceptional loops (ELs), whose global geometry can exhibit nontrivial knot and link structures. In this work, we present a universal and constructive framework for realizing knotted and linked ELs in 3D systems, establishing a direct correspondence between knot theory and non-Hermitian band degeneracies. Starting from an arbitrary knot or link specified by a braid representation, we systematically construct minimal two-band non-Hermitian Hamiltonians whose ELs faithfully realize the prescribed topology in momentum space, enabling a classification of non-Hermitian topological phases based on knot invariants such as braid words and Alexander polynomials. We show that these knotted ELs are generically stable and give rise to non-Hermitian metallic phases characterized by Seifert surfaces, reflecting the defective nature of exceptional degeneracies, in sharp contrast to nodal lines in Hermitian systems that typically require symmetry protection or fine-tuning. Furthermore, we demonstrate that knotted ELs can be continuously deformed and untied through controlled topological transitions driven by a single tuning parameter, providing a deterministic mechanism for manipulating knot topology in momentum space. We also propose an experimental realization in electro-acoustic systems, demonstrating the feasibility of observing knotted ELs through nonreciprocal coupling and tunable parameters. Our results establish knot and link topology as a natural classification scheme for non-Hermitian topological matter and suggest broad applicability in engineered platforms such as photonic, acoustic, and circuit-based systems.

Open article

The discovery of ambient-pressure nickelate high-temperature superconductivity provides a new platform for probing the underlying superconducting mechanisms. However, the thermodynamic metastability of Ruddlesden-Popper nickelates Lnn+1NinO3n+1 (Ln = lanthanide) presents significant challenges in achieving precise control over their structure and oxygen stoichiometry. This study establishes a systematic approach for growing phase-pure, high-quality Ln3Ni2O7 thin films on LaAlO3 and SrLaAlO4 substrates using gigantic-oxidative atomic-layer-by-layer epitaxy. The films grown under an ultrastrong oxidizing ozone atmosphere are superconducting without further post annealing. Specifically, the optimal Ln3Ni2O7/SrLaAlO4 superconducting film exhibits an onset transition temperature (Tc,onset) of 50 K. Four critical factors governing the crystalline quality and superconducting properties of Ln3Ni2O7 films are identified: 1) precise cation stoichiometric control suppresses secondary phase formation; 2) complete atomic layer-by-layer coverage coupled with 3) optimized interface reconstruction minimizes stacking faults; 4) accurate oxygen content regulation is essential for achieving a single superconducting transition and high Tc,onset. These findings provide valuable insights for the layer-by-layer epitaxy growth of diverse oxide high-temperature superconducting films.

Open article

Author(s): Irfan Akbar, Naim Ahmad, Abhay Singh Rajawat, and Waseem Akhtar

Magnetic skyrmioniums, possessing zero net topological charge, are promising candidates for next-generation spintronic devices. Using micromagnetic simulations, we investigate the current-driven dynamics of ferromagnetic (FM) and synthetic antiferromagnetic (SAF) skyrmioniums in granular nanotracks.…


[Phys. Rev. B 113, 094405] Published Wed Mar 04, 2026

Open article

We analyzed quantum $XX$ and $ZZ$ coupling and state transfer in an all-to-all connected star array of capacitively coupled superconducting transmon qubits. It is shown that in a highly-connected system like this a variety of different $ZZ$ couplings arise that correspond to the different ways qubits can interact with each other, opening different channels for unwanted qubit crosstalk and thus qubit operation errors. We studied the dependence of both the $XX$ and the $ZZ$ coupling on qubit detuning that controls qubit-qubit interaction. The $XX$ coupling, quantified by the error state occupation probability, shows a $\Delta\omega^{-2}$ decay with qubit detuning $\Delta\omega$. On the other hand, all $ZZ$ coupling frequencies show spikes at values in the lower detuning region that correspond to resonances between qubit states and states out of the computational basis, after which all couplings quickly decay to zero as qubit detuning further increases. This allows to define an operational region where near-zero qubit coupling can be achieved. We derive equations for the couplings as a function of qubit detuning that agree with numerical results solving the Schr\"odinger equation.

Open article

Author(s): Zhijie Li, Xi Kong, Haoyu Sun, Yunxia Wang, Guanyu Qu, Pei Yu, Tianyu Xie, Zhiyuan Zhao, Ya Wang, Guosheng Shi, Fazhan Shi, and Jiangfeng Du

The chemical environment at interfaces plays an important role in controlling the structure, properties, and performance of low-dimensional materials. The water environment and adsorbates on solid surfaces are the most common interface environments that are prevalent in nonultrahigh vacuum condition…


[Phys. Rev. Lett. 136, 096201] Published Wed Mar 04, 2026

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Transition-metal nitrides in {\eta}-carbide type structures exhibit unusual bonding motifs and proximity to magnetic instabilities. Yet they remain unexplored in thin-film form due to the difficulty of stabilizing nitrogen-poor ternaries among competing phases. Here, we report the thin-film synthesis and phase-stability mapping of the {\eta}-nitride systems Fe-W-N and Fe-Mo-N. Amorphous Fe-M-N (M = W, Mo) combinatorial libraries deposited by reactive co-sputtering crystallize upon rapid thermal annealing, enabling systematic identification of synthesis windows as a function of composition and annealing temperature. Using laboratory powder X-ray diffraction and synchrotron grazing incidence wide angle X-ray scattering, we establish that Fe3Mo3N-based {\eta}-carbide phases form over a substantially broader compositional and thermal range than W-based compositions, where {\eta} structures are stabilized only when the films are Fe-rich. These trends are rationalized using mixed chemical-potential vs. composition phase diagrams that capture the narrow nitrogen chemical-potential stability of {\eta}-nitrides. Magnetic measurements reveal that ferromagnetism is induced in Fe-rich Fe3.54Mo2.46N with a small exchange-bias-like response that is absent in Fe3W3N-based compositions, highlighting the sensitivity of magnetic behavior to modest deviations from stoichiometry. This work establishes practical thin-film synthesis routes for {\eta}-nitride materials and demonstrates how composition can be tuned to access emergent magnetic phenomena in these complex nitrides.

Open article

Author(s): Laurent Bugnon, Yurii G. Pashkevich, Christian Bernhard, and Premysl Marsik

We present a broadband (THz to UV) ellipsometry study of the anisotropic dielectric response of the orthorhombic perovskite ${\mathrm{YAlO}}_{3}$. The ellipsometric measurements have been performed on ${\mathrm{YAlO}}_{3}$ crystals with three different surface cuts and for six high-symmetry configur…


[Phys. Rev. Research 8, 013236] Published Tue Mar 03, 2026

Open article

We highlight recent progress in the study of artificial flat band systems with a threefold focus. First, we discuss single-particle flat band physics, which has advanced through the design of various flat band generators. These generators rely on the classification of flat bands in terms of compact localized states - their fundamental building blocks. A related development is the complete real-space description of flat band projectors. Next, we review studies on perturbations of flat bands, which provide new insights into the effects of disorder and, more importantly, the intricate interplay between many-body interactions and flat band physics. Finally, we survey the growing number of experimental realizations of flat bands across diverse physical platforms.

Open article

Author(s): Matteo Votto, Marko Ljubotina, Cécilia Lancien, J. Ignacio Cirac, Peter Zoller, Maksym Serbyn, Lorenzo Piroli, and Benoît Vermersch

We present and test a protocol to learn the matrix-product operator (MPO) representation of an experimentally prepared quantum state. The protocol takes as input classical shadows corresponding to local randomized measurements, and outputs the tensors of an MPO maximizing a suitably defined fidelity…


[Phys. Rev. Lett. 136, 090801] Published Wed Mar 04, 2026

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arXiv:2507.22984v2 Announce Type: replace-cross Abstract: The simulation of quantum field theories, both classical and quantum, requires regularization of infinitely many degrees of freedom. However, in the context of field digitization (FD) -- a truncation of the local fields to $N$ discrete values -- a comprehensive framework to obtain continuum results is currently missing. Here, we propose to analyze FD by interpreting the parameter $N$ as a coupling in the renormalization group (RG) sense. As a first example, we investigate the two-dimensional classical $N$-state clock model as a $\mathbb{Z}_N$ FD of the $U(1)$-symmetric $XY$-model. Using effective field theory, we employ the RG to derive generalized scaling hypotheses involving the FD parameter $N$, which allows us to relate data obtained for different $N$-regularized models in a procedure that we term $\textit{field digitization scaling}$ (FDS). Using numerical tensor-network calculations at finite bond dimension $\chi$, we further uncover an unconventional universal crossover around a low-temperature phase transition induced by finite $N$, demonstrating that FDS can be extended to describe the interplay of $\chi$ and $N$. Finally, we analytically prove that our calculations for the 2D classical-statistical $\mathbb{Z}_N$ clock model are directly related to the quantum physics in the ground state of a (2+1)D $\mathbb{Z}_N$ lattice gauge theory which serves as a FD of compact quantum electrodynamics. Our study thus paves the way for applications of FDS to quantum simulations of more complex models in higher spatial dimensions, where it could serve as a tool to analyze the continuum limit of digitized quantum field theories.

Open article

arXiv:2407.09253v2 Announce Type: replace-cross Abstract: We study some interesting aspects of the spectral properties of SU(3) gauge theory, both with and without dynamical quarks (QCD) at thermal equilibrium using lattice gauge theory techniques. By calculating the eigenstates of a massless overlap Dirac operator on the gauge configurations, we implement a gauge-invariant method to study spectral properties of non-Abelian gauge theories. We have unambiguously categorized Dirac eigenvalues into different regimes based on a quantity defined in terms of the ratios of nearest neighbor spacings. While majority of these eigenstates below the magnetic scale are similar to those of random matrices belonging to the Gaussian Unitary ensemble at temperatures much higher than the chiral crossover transition in QCD, a few among them start to become prominent only near the crossover. These form fractal-like clusters with the median value for their fractal dimensions hinting at the universality class of the chiral transition in QCD. We further demonstrate that momentum modes below the magnetic scale in a particular non-equilibrium state of QCD are classically chaotic and estimate an upper bound on the thermalization time $\sim 1.44$ fm/c by matching this magnetic scale with that of a thermal state at $\sim 600$ MeV.

Open article

Most of the known non-invertible symmetries of quantum field theories in three and four spacetime dimensions act invertibly on local operators. An exception is coset symmetries, which can be constructed from gauging a non-normal subgroup of an invertible symmetry. In this paper, we study the action of a general finite non-invertible symmetry on local operators in four dimensions. We show that non-invertible symmetries without topological line operators necessarily act invertibly on local operators. Using this result, we argue that the action of a general non-invertible symmetry in 3+1d on local operators can be decomposed into the invertible action of some operators composed with the action of a gauging interface. We use this result to study when such a symmetry is anomaly-free. We find a necessary condition for a finite non-invertible symmetry in 3+1d to be anomaly-free, and show that anomaly-free non-invertible symmetries without topological line operators are non-intrinsically non-invertible.

Open article

Metasurfaces leveraging nonlocal resonances enable narrowband spectral control and strong near-fields, with applications spanning augmented reality, biosensing, and nonlinear optics. However, the large spa- tial extent of these modes also poses new challenges: finite-size effects often deteriorate the performance of practical, footprint-limited devices. Here, we develop a spatiotemporal coupled-mode theory model that intuitively and quantitatively captures how finite size affects the scattering response of nonlocal metasurfaces. This reveals that, when the modal propagation length becomes constrained by the phys- ical interaction length, the scattered field shows strong interference fringes and linewidth broadening. We derive an expression for the quality factor that incorporates an additional edge-loss channel, demon- strating that the stored energy and effective lifetime scale exponentially with the interaction length. We validate these predictions experimentally using position- and momentum-resolved spectroscopy on a 30-micron-wide metasurface. Overall, this work formalizes the impact of finite size on the scattering re- sponse of nonlocal photonic systems, and provides handles on how to minimize the impact of finite-size effects in metasurface design.

Open article

Can reinforcement learning with hard, verifiable rewards teach a compact language model to reason about physics, or does it primarily learn to pattern-match toward correct answers? We study this question by training a 1.5B-parameter reasoning model on beam statics, a classic engineering problem, using parameter-efficient RLVR with binary correctness rewards from symbolic solvers, without teacher-generated reasoning traces. The best BeamPERL checkpoint achieves a 66.7% improvement in Pass@1 over the base model. However, the learned competence is anisotropic: the model generalizes compositionally (more loads) but fails under topological shifts (moved supports) that require the same equilibrium equations. Intermediate checkpoints yield the strongest reasoning, while continued optimization degrades robustness while maintaining reward. These findings reveal a key limitation of outcome-level alignment: reinforcement learning with exact physics rewards induces procedural solution templates rather than internalization of governing equations. The precision of the reward signal - even when analytically exact - does not by itself guarantee transferable physical reasoning. Our results suggest that verifiable rewards may need to be paired with structured reasoning scaffolding to move beyond template matching toward robust scientific reasoning.

Open article

We study gravimetry with bosonic trapped atoms in the presence of random spatial inhomogeneity. The errors resulting from a random, shot-to-shot fluctuating spatial inhomogeneity are quantum non-Markovian. We show that in a system with $L2$ modes (i.e., trapping sites), these errors can be post-corrected using a Bayesian inference. The post-correction is done via in situ measurements of the errors and refining the data-processing according to the measured error. We define an effective Fisher information $F_{\text{eff}}$ for such measurements with a Bayesian post-correction and show that the Cramer-Rao bound for the final precision is $\frac{1}{\sqrt{F_{\text{eff}}}}$. Exploring the scaling of the effective Fisher information with the number of atoms $N$, we show that it saturates to a constant when there are too many sources of error and too few modes. That is, with $\ell$ independent sources of error, we show that the effective Fisher information scales as $F_{\text{eff}} \sim \frac{N^2}{a+bN^2}$ for constants $a, b0$ when the number of modes is small: $L\ell+2$, even after maximization over the Hilbert space. With larger number of modes, $L\geq \ell+2$, we show that the effective Fisher information has a Heisenberg scaling $F_{\text{eff}}= O(N^2)$ when optimized over the Hilbert space. Finally, we study the density of the effective Fisher information in the Hilbert space and show that when $L\geq \ell+2$, almost any Haar random state has a Heisenberg scaling, i.e., $F_{\text{eff}}=O(N^2)$. Based on these results, we develop a Loschmidt echo-like experimental sequence for error mitigated gravimetry and gradiometry and discuss potential implementations. Finally, we argue that the effective Fisher information can be interpreted as the Fisher information corresponding to an equivalent non-Hertimitian evolution.

Open article

Adversarial attacks - input perturbations imperceptible to humans that fool neural networks - remain both a persistent failure mode in machine learning, and a phenomenon with mysterious origins. To shed light, we define and analyze a network's perceptual manifold (PM) for a class concept as the space of all inputs confidently assigned to that class by the network. We find, strikingly, that the dimensionalities of neural network PMs are orders of magnitude higher than those of natural human concepts. Since volume typically grows exponentially with dimension, this suggests exponential misalignment between machines and humans, with exponentially many inputs confidently assigned to concepts by machines but not humans. Furthermore, this provides a natural geometric hypothesis for the origin of adversarial examples: because a network's PM fills such a large region of input space, any input will be very close to any class concept's PM. Our hypothesis thus suggests that adversarial robustness cannot be attained without dimensional alignment of machine and human PMs, and therefore makes strong predictions: both robust accuracy and distance to any PM should be negatively correlated with the PM dimension. We confirmed these predictions across 18 different networks of varying robust accuracy. Crucially, we find even the most robust networks are still exponentially misaligned, and only the few PMs whose dimensionality approaches that of human concepts exhibit alignment to human perception. Our results connect the fields of alignment and adversarial examples, and suggest the curse of high dimensionality of machine PMs is a major impediment to adversarial robustness.

Open article

We investigate the emergence of fractional topological invariants in a periodic Su-Schrieffer- Heeger chain subject to gain and loss, governed by the Gorini-Kossakowski-Sudarshan-Lindblad master equations. After preparing the symmetry condition for integer topological invariants, we investigate their transition to fractional ones in steady states, which can happen either by tuning parameters in jump operators or as a dynamical transition during time evolution. Moreover, we show that these fractional topological invariants no longer possess quantized topology in the conventional sense. However, by extending the Brillouin zone to cover multiple cycles, the total winding regains integer quantization. Finally, we show how such effects can be observed in long-range hopping photonic lattices with fractional fillings, via Bloch state tomography. Our results open a new pathway to understand fractional topology in open quantum systems.

Open article

This theoretical work is devoted to investigating the magnon-magnon interaction effect in a two-dimensional Heisenberg-Kitaev honeycomb ferromagnet with Dzyaloshinskii-Moriya interaction (DMI). Based on the first-order Green function formalism, we calculate the thermal-fluctuation-induced temperature-dependent self-energy corrections of magnons. Our calculations reveal that the critical temperature for temperature-induced topological phase transitions monotonically approaches the Curie temperature with increasing DMI strength. Furthermore, it is shown that the critical temperature for topological phase transitions is correlated with Dzyaloshinskii-Moriya interaction and magnetic field strength.

Open article

We generalize the eta-pairing theory to very general non-Hermitian Hubbard models and find many novel phenomena without Hermitian analogs. For instance, the Hermitian conjugate of an eta-pairing eigenoperator may not be an eigenoperator, eta-pairing eigenoperators can be spatially modulated, and the $SU(2)$ pseudospin symmetry may not be possible even if $H$ commutes with the eta-pairing operators. Remarkably, these novel non-Hermitian phenomena are closely related to each other by several theorems we establish and can lead to, for example, new types of eta-pairing operators (e.g., the notion of non-Hermitian angular-momentum operators) and the anomalous localization of eta-pairing eigenstates. Some issues on the $SO(4)$ and particle-hole symmetries are clarified. Our general eta-pairing theory also reveals a previously unnoticed unification of these symmetries of the Hubbard model. To exemplify these findings, we first propose the one-dimensional Hatano-Nelson-Hubbard model (with or without the bulk translation invariance) and show that the right and left two-particle eta-pairing eigenstates are exponentially localized at opposite boundaries of the chain. Then, we generalize this model to two dimensions and find that the eta-pairing eigenstates can exhibit the first- or second-order skin effect. Finally, to realize all of the non-Hermitian eta-pairing phenomena, we construct a general two-sublattice model that is defined on an arbitrary lattice; this model can also reveal the eta-pairing structure in systems with Hermitian hoppings, including the original eta-pairing theory for square lattice, the extension to triangular lattice, and some topological systems. Our results establish a new and rigorous theoretical framework for studying novel quantum phenomena in interacting non-Hermitian many-body systems, even in arbitrary spatial dimensions and without the bulk translation symmetry.

Open article