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量子霍尔效应中的跳跃传导:普适标度律的复兴

Hopping conductivity in the quantum Hall effect: revival of universal scaling.

作者信息

Hohls F, Zeitler U, Haug R J

机构信息

Institut für Festkörperphysik, Universität Hannover, Appelstrasse 2, 30167 Hannover, Germany.

出版信息

Phys Rev Lett. 2002 Jan 21;88(3):036802. doi: 10.1103/PhysRevLett.88.036802. Epub 2002 Jan 2.

Abstract

We have measured the temperature dependence of the conductivity sigma(xx) of a two-dimensional electron system deep into the localized regime of the quantum Hall plateau transition. Using variable-range hopping theory we extract directly the localization length xi from this experiment. We use our results to study the scaling behavior of xi as a function of the filling factor distance /deltanu/ to the critical point of the transition. We find for all samples a power-law behavior xi equivalent to /deltanu/(-gamma) in agreement with the theoretically proposed universal exponent gamma = 2.35.

摘要

我们测量了二维电子系统在量子霍尔平台转变的局域化区域深处电导率σ(xx)的温度依赖性。利用变程跳跃理论,我们直接从该实验中提取了局域长度ξ。我们用我们的结果研究了ξ作为到转变临界点的填充因子距离/Δν/的函数的标度行为。我们发现,对于所有样品,都存在幂律行为ξ∝/Δν/^(-γ),这与理论上提出的通用指数γ = 2.35一致。

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