Spectral extrema and Lifshitz tails for non monotonous alloy type models

Details Spectral extrema and Lifshitz tails for non monotonous alloy type models Spectral extrema and Lifshitz tails for non monotonous alloy type models

2008-04-25

arxiv.org/abs/0804.4079v2

Physics

Mathematical Physics

Scientific paper

10.1007/s00220-008-0666-3

In the present note, we determine the ground state energy and study the
existence of Lifshitz tails near this energy for some non monotonous alloy type
models. Here, non monotonous means that the single site potential coming into
the alloy random potential changes sign. In particular, the random operator is
not a monotonous function of the random variables.

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