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

Takahiro Morimoto; Hideo Aoki

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

机译：交流状态下石墨烯量子霍尔系统的σ_xx（ω）-σ_（xy）（ω）两参数流

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The flow diagram of (σ_(xx),σ_(xy)) 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.

机译：对石墨烯量子霍尔效应系统在有限频率（ω）范围内的（σ_（xx），σ_（xy））流程图进行了数值研究。交流流程图显示出与直流流程图在质量上相似的行为，由此，由频率确定的动态长度比例构成了重新归一化流程的相关边界。然后根据动态缩放理论讨论了两参数流。我们还讨论了较大的ω态，它表现出由原始频率ω驱动的经典流。

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来源
《Physical review》 |2012年第16期|p.165445.1-165445.5|共5页
作者
Takahiro Morimoto; Hideo Aoki;
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作者单位

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

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

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正文语种 eng
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关键词
quantum hall effects; optical properties of low-dimensional, mesoscopic, and nanoscale materials and structures;

机译：量子霍尔效应低维;介观和纳米级材料和结构的光学特性;

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2. AC and DC Conductivities in an n-GaAs/AlAs Heterostructure with a Wide Quantum Well in the Integer Quantum Hall Effect Regime [J] . Dmitriev A. A., Drichko I. L., Smirnov I. Yu., JETP Letters . 2019,第1期

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6. Fabry–Pérot resonances and a crossover to the quantum Hall regime in ballistic graphene quantum point contacts [O] . Nurul Fariha Ahmad, Katsuyoshi Komatsu, Takuya Iwasaki, -1

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7. Two parameter flow of \sigma_{xx}(\omega) - \sigma_{xy}(\omega) for the graphene quantum Hall system in ac regime [O] . Morimoto, Takahiro, Aoki, Hideo 2012

机译：\ sigma_ {xx}（\ omega） - \ sigma_ {xy}（\ omega）的两个参数流交流制中的石墨烯量子霍尔系统

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

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