Low energy properties of the random displacement model

DOI10.1016/j.jfa.2009.01.022zbMath1167.82014arXiv0808.0670OpenAlexW2963592257MaRDI QIDQ1017698

Jeff Baker, Günter Stolz, Michael Loss

Publication date: 12 May 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.0670

zbMATH Keywords

integrated density of statesrandom Schrödinger operatorrandom displacement model

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random linear operators (47B80)

Related Items (10)

Surface localization in impurity band with random displacements and long-range interactions ⋮ Lifshitz tails for Anderson models with sign-indefinite single-site potentials ⋮ Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential ⋮ Localization for the random displacement model ⋮ Localization for the random displacement model at weak disorder ⋮ Wegner estimate for discrete alloy-type models ⋮ Classical and quantum behavior of the integrated density of states for a randomly perturbed lattice ⋮ Localization for random operators with non-monotone potentials with exponentially decaying correlations ⋮ Spectral properties of the discrete random displacement model ⋮ Understanding the Random Displacement Model: From Ground State Properties to Localization

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