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Tunneling and Universality in the Integer Quantum Hall Effect

Alex Hansen·Janos Kertesz
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Abstract

We show analytically and numerically that omission of quantum interference from the Chalker-Coddington model of the integer quantum Hall effect gives a localization length exponent nu=4/3 as in ordinary two-dimensional percolation. Thus, contrary to semi-classical scaling arguments, tunneling alone does not lead to nu=7/3.

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Alex Hansen, Janos Kertesz. 1997-06-06. Tunneling and Universality in the Integer Quantum Hall Effect. https://arxiv.org/abs/cond-mat/9706066

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