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Dynamical delocalization in random Landau Hamiltonians. (English) Zbl 1159.82009
It is proven that for disorder and magnetic field in which the energy spectrum consists of disjoint bands around the Landau levels, the random Landau Hamiltonian exhibits dynamical delocalization in each band. It follows that one can obtain a self-contained approach to the analysis of Hall conductance effect as a result of localization for random Schroödinger’s equation.

MSC:
82B44 Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics
81V70 Many-body theory; quantum Hall effect
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