Simple Examples of Lifschitz Tails in Gaussian Random Magnetic Fields |
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Authors: | Naomasa Ueki |
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Institution: | Graduate School of Human and Environmental Studies, Kyoto University, Kyoto 606-8501, Japan, e-mail: ueki@math.h.kyoto-u.ac.jp, JP
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Abstract: | . This is a first attempt to investigate the asymptotic behavior of the integrated density of states at the infimum of the spectrum for Schrödinger operators with magnetic fields which are Gaussian random fields. In simple examples it is shown that the integrated density of states decays exponentially. These examples shall give a hint to consider in more general framework. |
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Keywords: | |
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