Spectral extrema and Lifshitz tails for non monotonous alloy type models

Abstract

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.

References in corpus (3)

• Minimizing the ground state energy of an electron in a randomly deformed lattice
• Integrated density of states and Wegner estimates for random Schrödinger Operators
• The spectrum minimum for random Schrödinger operators with indefinite sign potentials

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