Semimetalic graphene in a modulated electric potential

Abstract

The $\pi$-electronic structure of graphene in the presence of a modulated electric potential is investigated by the tight-binding model. The low-energy electronic properties are strongly affected by the period and field strength. Such a field could modify the energy dispersions, destroy state degeneracy, and induce band-edge states. It should be noted that a modulated electric potential could make semiconducting graphene semimetallic, and that the onset period of such a transition relies on the field strength. There exist infinite Fermi-momentum states in sharply contrast with two crossing points (Dirac points) for graphene without external fields. The finite density of states (DOS) at the Fermi level means that there are free carriers, and, at the same time, the low DOS spectrum exhibits many prominent peaks, mainly owing to the band-edge states.

12pages, 5 figures

References in corpus (20)

• Electric Field Effect in Atomically Thin Carbon Films
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics
• Room-Temperature Quantum Hall Effect in Graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Electronic Properties of Disordered Two-Dimensional Carbon
• Unconventional Integer Quantum Hall effect in graphene
• A self-consistent theory for graphene transport
• Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
• Landau level spectroscopy of ultrathin graphite layers
• The Nature of Quantum Hall States near the Charge Neutral Dirac Point in Graphene
• Electron Beam Supercollimation in Graphene Superlattices
• Dirac and Klein-Gordon particles in one-dimensional periodic potentials
• Anomalous Absorption Line in the Magneto-Optical Response of Graphene
• Charge distribution and screening in layered graphene systems
• Collective excitations of Dirac electrons in a graphene layer with spin-orbit interaction
• Magnetospectroscopy of epitaxial few-layer graphene
• Magnetic edge states in graphene in nonuniform magnetic fields
• Quantum transport of Dirac electrons in graphene in the presence of a spatially modulated magnetic field
• Theory of Weiss oscillations in the magnetoplasmon spectrum of Dirac electrons in graphene

Cited by in corpus (16)

• Extra Dirac points in the energy spectrum for superlattices on single-layer graphene
• Emerging Zero Modes for Graphene in a Periodic Potential
• Electronic Band gaps and transport properties inside graphene superlattices with one-dimensional periodic squared potentials
• Electronic and optical properties of graphene nanoribbons in external fields
• Tunable Superlattice in Graphene To Control the Number of Dirac Points
• Single-layer and bilayer graphene superlattices: collimation, additional Dirac points and Dirac lines
• Conformal field theories in a periodic potential: results from holography and field theory
• Valley-polarized magnetoconductivity and particle-hole symmetry breaking in a periodically modulated $\alpha$-${\mathcal{T}}_3$ lattice
• Robust zero-averaged wave-number gap inside gapped graphene superlattices
• Graphene superlattice with periodically modulated Dirac gap
• Localization behavior of Dirac particles in disordered graphene superlattices
• Theory of the electronic and transport properties of graphene under a periodic electric or magnetic field
• Landau level splitting due to graphene superlattices
• Velocity renormalization and Dirac cone multiplication in graphene superlattices with various barrier edge geometries
• The selection rule of graphene in a composite magnetic field
• Designer gapped and tilted Dirac cones in lateral graphene superlattices