Dynamical delocalization in random Landau Hamiltonians

Details Dynamical delocalization in random Landau Hamiltonians Dynamical delocalization in random Landau Hamiltonians

2004-12-20

arxiv.org/abs/math-ph/0412070v1

Ann. of Math., 166 (2007), 215-244

Physics

Mathematical Physics

Scientific paper

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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