Optical Hall conductivity in bulk and nanostructured graphene beyond the Dirac approximation

Jesper Goor Pedersen, Mikkel H. Brynildsen, Horia D. Cornean, and Thomas Garm Pedersen
Phys. Rev. B 86, 235438 – Published 26 December 2012

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 the 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-neighbor tight-binding model as well as graphene antidot lattices. In both cases, we find unique signatures in the Hall response that are not captured in continuum (Dirac) approximations. These include a nonzero 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.

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  • Received 10 July 2012

DOI:https://doi.org/10.1103/PhysRevB.86.235438

©2012 American Physical Society

Authors & Affiliations

Jesper Goor Pedersen1, Mikkel H. Brynildsen2, Horia D. Cornean2, and Thomas Garm Pedersen1,3

  • 1Department of Physics and Nanotechnology, Aalborg University, Skjernvej 4A DK-9220 Aalborg East, Denmark
  • 2Department of Mathematical Sciences, Aalborg University, Frederik Bajers Vej 7G, 9220 Aalborg East, Denmark
  • 3Center for Nanostructured Graphene (CNG), Aalborg University, DK-9220 Aalborg East, Denmark

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Issue

Vol. 86, Iss. 23 — 15 December 2012

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