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Quantum Hall Effect: Current Distribution and the Role of Measurement

K. Tsemekhman·V. Tsemekhman·C. Wexler·D. J. Thouless
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Abstract

Based on very general arguments we show that for any geometry of the experiment, in the regime when the measurement leads to a quantized Hall conductivity, almost the entire current injected into the sample is carried by the bulk states. The crucial role of the contacts equilibrating different edge channels is emphasized.

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K. Tsemekhman, V. Tsemekhman, C. Wexler, D. J. Thouless. 1995-07-25. Quantum Hall Effect: Current Distribution and the Role of Measurement. https://arxiv.org/abs/cond-mat/9507113

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