Browsing by Author "Asch, Joachim"

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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.
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    Stability of the Electron Cyclotron Resonance
    (2016) Asch, Joachim; Bourget, Olivier; Meresse, Cédric