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arXiv · 1001.3625

Localization Properties of the Chalker-Coddington Model

Joachim Asch·Alain Joye·Olivier Bourget
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Abstract

The Chalker Coddington quantum network percolation model is numerically pertinent to the understanding of the delocalization transition of the quantum Hall effect. We study the model restricted to a cylinder of perimeter 2M. We prove firstly that the Lyapunov exponents are simple and in particular that the localization length is finite; secondly that this implies spectral localization. Thirdly we prove a Thouless formula and compute the mean Lyapunov exponent which is independent of M.

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Joachim Asch, Alain Joye, Olivier Bourget. 2010-08-02. Localization Properties of the Chalker-Coddington Model. https://doi.org/10.1007/s00023-010-0056-1

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