Localization Properties of the Chalker-Coddington Model

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 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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Contributor : Alain Joye <>
Submitted on : Thursday, January 21, 2010 - 6:37:15 PM
Last modification on : Thursday, June 20, 2019 - 4:49:30 PM

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  • HAL Id : hal-00449497, version 1
  • ARXIV : 1001.3625


Joachim Asch, Olivier Bourget, Alain Joye. Localization Properties of the Chalker-Coddington Model. Annales Henri Poincaré, Springer Verlag, 2010, 11, pp.1341-1373. ⟨hal-00449497⟩



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