Two-parameter flow of σxx(ω)-σxy(ω) for the graphene quantum Hall system in the ac regime

Takahiro Morimoto and Hideo Aoki
Phys. Rev. B 85, 165445 – Published 26 April 2012

Abstract

The flow diagram of (σxx,σxy) in a finite-frequency (ω) regime is numerically studied for a graphene quantum Hall effect system. The ac flow diagrams turn out to show qualitatively similar behavior to that of the dc flow diagrams, whereby the dynamical length scale determined by the frequency poses a relevant cutoff for the renormalization flow. The two-parameter flow then is discussed in terms of the dynamical scaling theory. We also discuss the larger-ω regime that exhibits classical flows driven by the raw frequency ω.

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  • Received 9 August 2011

DOI:https://doi.org/10.1103/PhysRevB.85.165445

©2012 American Physical Society

Authors & Affiliations

Takahiro Morimoto and Hideo Aoki

  • Department of Physics, University of Tokyo, Hongo, Tokyo 113-0033, Japan

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Issue

Vol. 85, Iss. 16 — 15 April 2012

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