Tight-binding study of the magneto-optical properties of gapped graphene

Abstract

We study the optical properties of gapped graphene in presence of a magnetic field. We consider a model based on the Dirac equation, with a gap introduced via a mass term, for which analytical expressions for the diagonal and Hall optical conductivities can be derived. We discuss the effect of the mass term on electron-hole symmetry and $\pi$-${\pi }^{\ast }$ symmetry and its implications for the optical Hall conductivity. We compare these results with those obtained using a tight-binding model, in which the mass is modeled via a staggered potential and a magnetic field is included via a Peierls substitution. Considering antidot lattices as the source of the mass term, we focus on the limit where the mass term dominates the cyclotron energy. We find that a large gap quenches the effect of the magnetic field. The role of overlap between neighboring $\pi$ orbitals is investigated, and we find that the overlap has pronounced consequences for the optical Hall conductivity that are missed in the Dirac model.

10 pages, 9 figures, submitted for Physical Review B

References in corpus (14)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Energy Gaps in Graphene Nanoribbons
• Control of graphene's properties by reversible hydrogenation
• Giant Intrinsic Carrier Mobilities in Graphene and Its Bilayer
• Room-Temperature Quantum Hall Effect in Graphene
• Graphane: a two-dimensional hydrocarbon
• Electronic States of Graphene Nanoribbons
• Unconventional Integer Quantum Hall effect in graphene
• Magneto-optical conductivity in Graphene
• Unusual Microwave Response of Dirac Quasiparticles in Graphene
• Graphene Antidot Lattices - Designed Defects and Spin Qubits
• Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations II: transport properties
• Optical properties of graphene antidot lattices

Cited by in corpus (14)

• A Two-dimensional Dirac fermion microscope
• High-order harmonic generation from gapped graphene: perturbative response and transition to non-perturbative regime
• Faraday rotation in graphene
• Optical orientation with linearly polarized light in transition metal dichalcogenides
• Hofstadter butterflies and magnetically induced band gap quenching in graphene antidot lattices
• Electron trajectories and magnetotransport in nanopatterned graphene under commensurability conditions
• Large-scale tight-binding simulations of quantum transport in ballistic graphene
• Transport in graphene antidot barriers and tunneling devices
• Excitonic magneto-optics in monolayer transition metal dichalcogenides: From nanoribbons to two-dimensional response
• Optical Hall conductivity in bulk and nanostructured graphene beyond the Dirac approximation
• On the zero-field orbital magnetic susceptibility of Bloch electrons in graphene-like solids: Some rigorous results
• Polarization of graphene in a strong magnetic field beyond the Dirac cone approximation
• Self-consistent model of edge doping in graphene
• Photonic band-gap transmission map of graphene in a defective optical structure