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Internal Lifschitz tails

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Abstract

We consider an Anderson model inv dimensions with a potential distribution supported in (a, b)∪(c, d), wherec− b>4v. We prove the existence of Lifschitz tails at the edges of the internal gap at b+2v andc− 2v. This reproves results of Mezincescu.

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Simon, B. Internal Lifschitz tails. J Stat Phys 46, 911–918 (1987). https://doi.org/10.1007/BF01011147

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  • DOI: https://doi.org/10.1007/BF01011147

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