Browsing by Author "Joye, Alain"

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    Chirality induced interface currents in the Chalker-Goddington model
    (2019) Asch, Joachim; Bourget, Olivier; Joye, Alain
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    Dynamical Localization of the Chalker-Coddington Model far from Transition
    (2012) Asch, Joachim; Bourget, Olivier; Joye, Alain
    We study a quantum network percolation model which is numerically pertinent to the understanding of the delocalization transition of the quantum Hall effect. We show dynamical localization for parameters corresponding to edges of Landau bands, away from the expected transition point.
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    Localization Properties of the Chalker-Coddington Model
    (BIRKHAUSER VERLAG AG, 2010) Asch, Joachim; Bourget, Olivier; Joye, Alain
    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 first 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.