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

DOI10.1088/1751-8113/43/47/474021zbMath1205.82090arXiv0903.0492OpenAlexW3104066752WikidataQ58004548 ScholiaQ58004548MaRDI QIDQ3065983

Alexander Elgart, Martin Tautenhahn, Ivan Veselić

Publication date: 7 January 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0492

zbMATH Keywords

Schrödinger operatorfractional moment method

Mathematics Subject Classification ID

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)

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Level spacing for non-monotone Anderson models ⋮ Quantum Hamiltonians with weak random abstract perturbation. II: Localization in the expanded spectrum ⋮ Wegner estimate for discrete Schrödinger operators with Gaussian random potentials ⋮ Fast decay of eigenfunction correlators in long-range continuous random alloys ⋮ Low lying spectrum of weak-disorder quantum waveguides ⋮ Wegner estimate for discrete alloy-type models ⋮ Localization for random operators with non-monotone potentials with exponentially decaying correlations ⋮ Low lying eigenvalues of randomly curved quantum waveguides ⋮ Minami's estimate: beyond rank one perturbation and monotonicity ⋮ Multi-scale analysis of random alloy models with summable site potentials of infinite range ⋮ Anderson localization for a class of models with a sign-indefinite single-site potential via fractional moment method ⋮ Towards localization in long-range continuous interactive Anderson models ⋮ Discrete Schrödinger Operators with Random Alloy-type Potential ⋮ Anderson localization in discrete random displacements models ⋮ An optimal result on localization in random displacements models ⋮ Wegner estimate and localization for alloy-type models with sign-changing exponentially decaying single-site potentials

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