Fulltext summary
Summary
The study explores the modulation of graphene's electronic structure through electrostatic screening, focusing on the shielding parameter σv and its impact on electron-electron interactions and band structure. As σv increases, the onsite energy shows a weak linear growth, and the band structure experiences a systematic downward shift at high symmetry points, particularly at the K point. The modified potential decays exponentially, reducing electron-electron interactions and altering hopping integrals and on-site energy, leading to the emergence of a band gap for σv ≥ 1.00. The density of states remains stable near the Fermi level but increases monotonically at high-energy states. The research highlights graphene's helical wavefunctions and their contribution to topological properties like pseudospin-momentum locking and a π Berry phase, which are crucial for applications in nanoelectronics and quantum devices. The findings suggest that tuning σv can optimize graphene's electronic properties for high-speed transistors and photodetectors.
Methods
The study employs tight-binding calculations with BBC and modified BBC models to investigate electrostatic screening effects on graphene. The shielding parameter σv, ranging from 0.00 to 3.00, is varied to analyze its impact on onsite energy, band structure, and density of states. Theoretical predictions are proposed to be validated using experimental methods such as scanning tunneling spectroscopy (STS) and photoelectron spectroscopy (XPS). The research incorporates the BBC potential to account for Coulomb interactions and shielding effects, establishing a framework for understanding electron-electron interactions and band renormalization. Electrostatic gating is suggested as a method to tune Fermi velocity, bandgap size, and carrier type in graphene-based devices.
This study examines electrostatic screening effects in graphene using tight binding calculations based on the Binding energy and Bond Charge model and a modified version of it. The results indicate that the modified BBC potential decays in an exponential manner with distance, which suppresses electron electron interactions. The hopping integrals exhibit a pronounced decrease over distance and shift with parameter variation. A band gap opens once the parameter exceeds a certain threshold. The density of states shows a prominent peak near the Fermi level, whereas the low-energy region remains largely unchanged. The low energy helical wave functions in graphene display topological characteristics, including pseudospin momentum locking and a {\pi} Berry phase, resulting in distinctive transport properties. By avoiding the Coulomb singularity, the model offers valuable insights for the engineering of screening in two-dimensional systems and the design of topological devices.