Joachim Asch – Localization properties of the Chalker Coddington model

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Date(s) - 4 mai 2011

Catégories Pas de Catégories

We discuss an effective model for the quantum dynamics of a two dimensional particle under the influence of a random electric and a perpendicular magnetic field. It is quantum network percolation model. For the restriction to a cylinder we prove simplicity of the Lyapunov exponents, finiteness of the localization length. Furthermore we compute the mean Lyapunov exponent by a Thouless formula.