Lifshitz tails and localization in the three-dimensional Anderson model

DOI10.1215/00127094-2008-068zbMath1165.82015arXiv0804.3347OpenAlexW2090311251WikidataQ58004557 ScholiaQ58004557MaRDI QIDQ999256

Alexander Elgart

Publication date: 3 February 2009

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.3347

zbMATH Keywords

Anderson modellocalizationLifshitz tails

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random linear operators (47B80)

Related Items (8)

Supersymmetric cluster expansions and applications to random Schrödinger operators ⋮ Delocalization and diffusion profile for random band matrices ⋮ On the localization regime of certain random operators within Hartree–Fock theory ⋮ Expansion of the spectrum in the weak disorder regime for random operators in continuum space ⋮ Expansion of the almost sure spectrum in the weak disorder regime ⋮ Anderson localization triggered by spin disorder -- with an application to \(\mathrm{Eu}_{x }\mathrm{Ca}_{1 - x }\mathrm{B}_{6}\) ⋮ The weak localization for the alloy-type Anderson model on a cubic lattice ⋮ Quantum diffusion and eigenfunction delocalization in a random band matrix model

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