Optical Hall conductivity in bulk and nanostructured graphene beyond the Dirac approximation
arXiv:1212.1991 · doi:10.1103/PhysRevB.86.235438
Abstract
We present a perturbative method for calculating the optical Hall conductivity in a tight-binding framework based on the Kubo formalism. The method involves diagonalization only of the Hamiltonian in absence of the magnetic field, and thus avoids the computational problems usually arising due to the huge magnetic unit cells required to maintain translational invariance in presence of a Peierls phase. A recipe for applying the method to numerical calculations of the magneto-optical response is presented. We apply the formalism to the case of ordinary and gapped graphene in a next-nearest neighbour tight-binding model as well as graphene antidot lattices. In both case, we find unique signatures in the Hall response, that are not captured in continuum (Dirac) approximations. These include a non-zero optical Hall conductivity even when the chemical potential is at the Dirac point energy. Numerical results suggest that this effect should be measurable in experiments.
7 pages, 4 figures, accepted in Physical Review B
References in corpus (14)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Ultrahigh electron mobility in suspended graphene
- Room-Temperature Quantum Hall Effect in Graphene
- Unconventional Integer Quantum Hall effect in graphene
- Magneto-optical conductivity in Graphene
- Spectroscopic ellipsometry of graphene and an exciton-shifted van Hove peak in absorption
- Graphene Antidot Lattices - Designed Defects and Spin Qubits
- Excitonic gap, phase transition, and quantum Hall effect in graphene
- Electronic properties of graphene antidot lattices
- Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations II: transport properties
- Measurable lattice effects on the charge and magnetic response in graphene
- The Faraday effect revisited: Thermodynamic limit
- Tight-binding study of the magneto-optical properties of gapped graphene