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arXiv · 0903.0492

Localization via fractional moments for models on $\mathbb{Z}$ with single-site potentials of finite support

Alexander Elgart·Martin Tautenhahn·Ivan Veselić
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Abstract

One of the fundamental results in the theory of localization for discrete Schrödinger operators with random potentials is the exponential decay of Green's function and the absence of continuous spectrum. In this paper we provide a new variant of these results for one-dimensional alloy-type potentials with finitely supported sign-changing single-site potentials using the fractional moment method.

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Alexander Elgart, Martin Tautenhahn, Ivan Veselić. 2010-09-17. Localization via fractional moments for models on $\mathbb{Z}$ with single-site potentials of finite support. https://doi.org/10.1088/1751-8113%2F43%2F47%2F474021

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