Localization Properties of the Chalker-Coddington Model - Mathematical PhysicsReport as inadecuate




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Abstract: The Chalker Coddington quantum network percolation model is numericallypertinent to the understanding of the delocalization transition of the quantumHall effect. We study the model restricted to a cylinder of perimeter 2M. Weprove firstly that the Lyapunov exponents are simple and in particular that thelocalization length is finite; secondly that this implies spectrallocalization. Thirdly we prove a Thouless formula and compute the mean Lyapunovexponent which is independent of M.



Author: Joachim Asch, Alain Joye, Olivier Bourget

Source: https://arxiv.org/



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