Anderson localization for generic deterministic operators

Details Anderson localization for generic deterministic operators Anderson localization for generic deterministic operators

2011-01-25

arxiv.org/abs/1101.4892v2

Physics

Mathematical Physics

Scientific paper

We consider a class of ensembles of lattice Schr\"odinger operators with deterministic random potentials, including quasi-periodic potentials with Diophantine frequencies, depending upon an infinite number of parameters in an auxiliary measurable space. Using a variant of the Multi-Scale Analysis, we prove Anderson localization for generic ensembles in the strong disorder regime and establish an analog of Minami-type bounds for spectral spacings.

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