Dynamical delocalization in random Landau Hamiltonians


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Date

2007-07

Publication Type

Journal Article

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Abstract

We prove the existence of dynamical delocalization for random Landau Hamiltonians near each Landau level. Since typically there is dynamical localization at the edges of each disordered-broadened Landau band, this implies the existence of at least one dynamical mobility edge at each Landau band, namely a boundary point between the localization and delocalization regimes, which we prove to converge to the corresponding Landau level as either the magnetic field goes to infinity or the disorder goes to zero.

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published

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Volume

166 (1)

Pages / Article No.

215 - 244

Publisher

Princeton University Press

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03355 - Graf, Gian Michele / Graf, Gian Michele check_circle

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