Optical Hall conductivity in 2DEG and graphene QHE systems

Abstract

We have revealed from a numerical study that the Hall plateaus are retained in the optical Hall conductivity ${\sigma }_{xy}(\omega )$ in the ac ($\sim$ THz) regime in both of the ordinary two-dimensional electron gas and graphene in the quantum Hall regime, although the plateau height in ac deviates from integer multiples of $e^2/h$. The effect remains unexpectedly robust against a significant strength of disorder, which we attribute to an effect of localization. We predict the ac Hall plateaus are observable through the Faraday rotation with the rotation angle characterized by the fine-structure constant $\alpha$. In this paper we clarify the relationship between plateau structures and the disorder strength by performing numerical calculation.

4 pages, 2 figures, EP2DS-18 in Kobe (2009)

References in corpus (7)

• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Landau level spectroscopy of ultrathin graphite layers
• Topological delocalization of two-dimensional massless Dirac fermions
• Gauge field induced by ripples in graphene
• Optical Hall conductivity in ordinary and graphene QHE systems
• Cyclotron radiation and emission in graphene
• Quantum Hall Effect of Massless Dirac Fermions in a Vanishing Magnetic Field