Eur. Phys. J. B (2013) 86: 53
https://doi.org/10.1140/epjb/e2012-30887-1

Regular Article

Optical Hall conductivity of systems with gapped spectral nodes

Institut für Physik, Universität Augsburg, Universitätsstraße 1, 86159 Augsburg, Germany

^a e-mail: ziegler@physik.uni-augsburg.de

Received: 29 September 2012
Received in final form: 23 November 2012
Published online: 13 February 2013

Abstract

We calculate the optical Hall conductivity within the Kubo formalism for systems with gapped spectral nodes, where the latter have a power-law dispersion with exponent n. The optical conductivity is proportional to n and there is a characteristic logarithmic singularity as the frequency approaches the gap energy. The optical Hall conductivity is almost unaffected by thermal fluctuations and disorder for n = 1, whereas disorder has a stronger effect on transport properties if n = 2.