High Disorder Localization for Random Schrodinger Operators Through Explicit Finite Volume Criteria,

F. Germinet, A. Klein

2003, v.9, №4, 633-650

ABSTRACT

We apply finite volume criteria for localization to random Schrodinger operators. These provide explicit conditions, depending on the parameters of the model, for starting the bootstrap multiscale analysis. The criteria are used to study localization of Anderson Hamiltonians on the continuum at the bottom of the spectrum at high disorder.

Keywords: Anderson localization,multiscale analysis

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