Internal Lifshitz tails for discrete Schrˋdinger operators

作者:Hatem Najar
来源:International Journal of Mathematics and Mathematical Sciences, 2006.
DOI:10.1155/ijmms/2006/91865

摘要

We consider random Schr%26#246;dinger operators H%26#x03C9; acting on l2(%26#x2124;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%26#x03C9; 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.

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