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The quantum percolation model of the scaling theory of the quantum Hall effect: a unifying model for plateau-to-plateau transitions

机译:量子霍尔效应缩放理论的量子渗透模型:高原到高原转变的统一模型

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摘要

We present a unifying model of plateau-to-plateau transitions in the quantum Hall effect based on results from high resolution frequency scaling experiments. We show that as the frequency or quantum coherence length of the two-dimensional electron system is varied, one observes a crossover between classical percolation and quantum percolation in the measured values of the critical scaling exponents of the plateau-to-plateau transitions. This crossover is dependent on the relationship between certain relevant length scales of a two- dimensional system and can be explained using a quantum percolation model. The model explains why quantum criticality can be observed in some systems, but is absent from others.
机译:基于高分辨率频率缩放实验的结果,我们提出了量子霍尔效应中高原到高原跃迁的统一模型。我们表明,随着二维电子系统的频率或量子相干长度的变化,在高原到高原跃迁的临界尺度指数的测量值中,观察到经典渗滤和量子渗滤之间的交叉。该交叉取决于二维系统的某些相关长度尺度之间的关系,并且可以使用量子渗流模型来解释。该模型解释了为什么在某些系统中可以观察到量子临界,而在其他系统中却没有。

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