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arXiv · 1208.1947

Localization for random block operators

Martin Gebert·Peter Müller
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Abstract

We continue the investigations of Kirsch, Metzger and the second-named author [J. Stat. Phys. 143, 1035--1054 (2011)] on spectral properties of a certain type of random block operators. In particular, we establish an alternative version of a Wegner estimate and an improved result on Lifschitz tails at the internal band edges. Using these ingredients and the bootstrap multi-scale analysis, we also prove dynamical localization in a neighbourhood of the internal band edges.

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Martin Gebert, Peter Müller. 2012-08-09. Localization for random block operators. https://doi.org/10.1007/978-3-0348-0591-9_4

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