Two parameter flow of σ_{xx}(ω) - σ_{xy}(ω) for the graphene quantum Hall system in ac regime

Abstract

Flow diagram of $({\sigma }_{xx},{\sigma }_{xy})$ in finite-frequency ($\omega$) regime is numerically studied for graphene quantum Hall effect (QHE) system. The ac flow diagrams turn out to show qualitatively similar behavior as the dc flow diagrams, which can be understood that the dynamical length scale determined by the frequency poses a relevant cutoff for the renormalization flow. Then the two parameter flow is discussed in terms of the dynamical scaling theory. We also discuss the larger-$\omega$ regime which exhibits classical flows driven by the raw frequency $\omega$.

6 pages, 4 figures

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Cited by in corpus (4)

• Half-integer quantum Hall effect of disordered Dirac fermions at a topological insulator surface
• Faraday rotation in bilayer and trilayer graphene in the quantum Hall regime
• Anderson Localization and Quantum Hall Effect: Numerical Observation of Two Parameter Scaling
• Universal Scaling Theory of the Boundary Geometric Tensor in Disordered Metals