Discrete Schrödinger Operators with Random Alloy-type Potential
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Publication:2841833
DOI10.1007/978-3-0348-0414-1_6zbMath1273.82023arXiv1107.2800OpenAlexW2020727872WikidataQ58004539 ScholiaQ58004539MaRDI QIDQ2841833
Alexander Elgart, Martin Tautenhahn, Helge Krüger, Ivan Veselić
Publication date: 30 July 2013
Published in: Spectral Analysis of Quantum Hamiltonians (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.2800
localizationmultiscale analysisfractional moment methodnon-monotoneCartan's theoremdiscrete alloy-type modelsign-indefinitesinglesite potential
Random operators and equations (aspects of stochastic analysis) (60H25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Schrödinger operator, Schrödinger equation (35J10)
Related Items (7)
Quantum Hamiltonians with weak random abstract perturbation. I: Initial length scale estimate ⋮ Lifschitz tail for alloy-type models driven by the fractional Laplacian ⋮ Expansion of the almost sure spectrum in the weak disorder regime ⋮ Some abstract Wegner estimates with applications ⋮ Localisation for non-monotone Schrödinger operators ⋮ Understanding the Random Displacement Model: From Ground State Properties to Localization ⋮ Decorrelation estimates for random discrete Schrödinger operators in dimension one and applications to spectral statistics
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