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Internal Lifshitz tails for discrete Schrödinger operators

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  • Hatem Najar

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.

Suggested Citation

  • Hatem Najar, 2006. "Internal Lifshitz tails for discrete Schrödinger operators," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-8, October.
    • Handle: RePEc:hin:jijmms:091865
    DOI: 10.1155/IJMMS/2006/91865
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