1108.1898 (Takahiro Morimoto et al.)

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

Takahiro Morimoto, Hideo Aoki

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 $\omega$.

View original: http://arxiv.org/abs/1108.1898