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

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

2011-08-09

arxiv.org/abs/1108.1898v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 4 figures

Scientific paper

Flow diagram of $(\sigma_{xx}, \sigma_{xy})$ in finite-frequency ($\omega$) regime is numerically studied for graphene quantum Hall effect (QHE) system. In the ac flow diagrams we have revealed a crossover of the flow between two regimes, where a small-$\omega$ regime has flows governed by the frequency that is rescaled by the dynamical length, while the larger-$\omega$ regime exhibits usual flows driven by the unscaled frequency. We interpret the result as a crossover from a critical region described by the dynamical scaling to another where $\omega$ plays a role of temperature as in the $T$-driven flow.

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