Optical Hall conductivity in ordinary and graphene QHE systems

Details Optical Hall conductivity in ordinary and graphene QHE systems Optical Hall conductivity in ordinary and graphene QHE systems

2009-04-16

arxiv.org/abs/0904.2438v2

Phys. Rev. Lett. 103, 116803 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.103.116803

We have revealed from a numerical study that the optical Hall conductivity $\sigma_{xy}(\omega)$ has a characteristic feature even in the ac ($\sim$ THz) regime in that the Hall plateaus are retained both in the ordinary two-dimensional electron gas and in graphene in the quantum Hall (QHE) regime, although the plateau height is no longer quantized in ac. In graphene $\sigma_{xy}(\omega)$ reflects the unusual Landau level structure. The effect remains unexpectedly robust against a significant strength of disorder, which we attribute to an effect of localization. We predict the ac quantum Hall measurements are feasible through the Faraday rotation characterized by the fine-structure constant $\alpha$.

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