Internal Lifshitz tails for discrete Schrödinger operators

Hatem Najar

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-8

Abstract:

We consider random Schrödinger operators H ω acting on l 2 ( ℤ d ) . We adapt the technique of the periodic approximations used in (2003) for the present model to prove that the integrated density of states of H ω has a Lifshitz behavior at the edges of internal spectral gaps if and only if the integrated density of states of a well-chosen periodic operator is nondegenerate at the same edges. A possible application of the result to get Anderson localization is given.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:091865

DOI: 10.1155/IJMMS/2006/91865

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