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Lifshitz tails for periodic plus random potentials

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Abstract

We prove that the integrated density of states ρ(λ) for a potentialW ω =V per +V ω has Lifshitz tails where Vper is a periodic potential with reflection symmetry andV ω is a random potential, e.g., of the formV ω =Σq i (ω)f(x−i).

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research partially supported by DFG.

research partially supported by USNSF under grant No. MCS-81-20833.

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Kirsch, W., Simon, B. Lifshitz tails for periodic plus random potentials. J Stat Phys 42, 799–808 (1986). https://doi.org/10.1007/BF01010445

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