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Dynamical delocalization in random Landau Hamiltonians

Francois Germinet·Abel Klein·Jeffrey H. Schenker
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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 or the disorder goes to zero.

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Francois Germinet, Abel Klein, Jeffrey H. Schenker. 2004-12-20. Dynamical delocalization in random Landau Hamiltonians. https://arxiv.org/abs/math-ph/0412070

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