Localization Properties of the Chalker-Coddington Model
Résumé
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 a Thouless formula which shows that the mean Lyapunov exponent is positive, independently of M and the quasienergy; secondly that finiteness of the localization length implies spectral localization; finally that the localization length is finite in an M dependent regime of the model parameters.
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