The Anderson model as a matrix model

DOI10.1016/S0920-5632(97)00420-9zbMath0979.82510arXivcond-mat/9611236MaRDI QIDQ5927280

Vincent Rivasseau, Jacques Magnen, Gilles Poirot

Publication date: 8 March 2001

Published in: Nuclear Physics. B. Proceedings Supplements (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9611236

zbMATH Keywords

regularityaveraged Green's functionsdecayeigenvalue distributionrandom matrices

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Renormalization group methods in equilibrium statistical mechanics (82B28)

Related Items (3)

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Cites Work

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• Absence of diffusion in the Anderson tight binding model for large disorder or low energy
• Constructive proof of localization in the Anderson tight binding model
• Anderson localization for multi-dimensional systems at large disorder or large energy
• Limit laws for random matrices and free products
• Localization at large disorder and at extreme energies: an elementary derivation
• Absolutely continuous spectrum in the Anderson model on the Bethe lattice
• An Intrinsic 1/ N Expansion for Many-Fermion Systems
• Two-Dimensional Many-Fermion Systems as Vector Models
• LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS

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