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Dynamical Localization of the Chalker-Coddington Model far from Transition

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Abstract

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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Acknowledgements

We gratefully acknowledge support from the grants: Fondecyt Grant 1080675; MATH-AmSud, 09MATH05; Scientific Nucleus Milenio ICM P07-027-F; ECOS-CONICYT C10E01; Elementary Particles Latino American NETwork.

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Authors and Affiliations

  1. CPT, Aix-Marseille Univ., 13288, Marseille cedex 9, France

    Joachim Asch

  2. CNRS, UMR 7332, 13288, Marseille cedex 9, France

    Joachim Asch

  3. CPT, Univ. Sud Toulon Var, B.P. 20132, 83957, La Garde, France

    Joachim Asch

  4. Departamento de Matemáticas, Pontificia Universidad Católica de Chile, Av. Vicuña Mackenna 4860, C.P. 690 44 11, Macul Santiago, Chile

    Olivier Bourget

  5. UMR 5582, CNRS Institut Fourier, UJF-Grenoble 1, Grenoble, 38402, France

    Alain Joye

Authors
  1. Joachim Asch
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  2. Olivier Bourget
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  3. Alain Joye
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Correspondence to Joachim Asch.

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Asch, J., Bourget, O. & Joye, A. Dynamical Localization of the Chalker-Coddington Model far from Transition. J Stat Phys 147, 194–205 (2012). https://doi.org/10.1007/s10955-012-0477-y

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  • DOI: https://doi.org/10.1007/s10955-012-0477-y

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