Lifshitz tails for periodic plus random potentials |
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| Authors: | W Kirsch B Simon |
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| Institution: | (1) Mathematisches Institut, Ruhr-Universität, D4630 Bochum, West Germany;(2) Division of Physics, Mathematics and Astronomy, California Institute of Technology, 91125 Pasadena, California |
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| Abstract: | We prove that the integrated density of states  ( ) for a potentialW
=V
per +V
has Lifshitz tails where Vper is a periodic potential with reflection symmetry andV
is a random potential, e.g., of the formV
= q
i
()f(x–i).research partially supported by DFG.research partially supported by USNSF under grant No. MCS-81-20833. |
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| Keywords: | Lifshitz tails Anderson model Dirichlet-Neumann bracketing |
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