Francois Germinet, Abel Klein, Jeffrey H. Schenker
Dynamical delocalization in random Landau Hamiltonians
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ABSTRACT.  We prove the existence of dynamical delocalization for random Landau Hamiltoniansnear each Landau level. Since typically there is dynamical localization at the edges of each disordered-broadened Landau band, this implies the existence of at leastone dynamical mobility edge ateach 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.