Dynamical delocalization in random Landau Hamiltonians. (English) Zbl 1159.82009

Germinet, François; Klein, Abel; Schenker, Jeffrey H.

Ann. Math. (2) 166, No. 1, 215-244 (2007).

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.

Reviewer: Guy Jumarie (Montréal)

MSC:

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

Keywords:

dynamical delocalization; random Landau Hamiltonian; Wegner estimate; disorder limit