Exponential scaling limit of the single-particle Anderson model via adaptive feedback scaling

DOI10.1007/s10955-015-1438-zzbMath1341.82042arXiv1503.02529OpenAlexW1954525032MaRDI QIDQ267726

Victor Chulaevskij

Publication date: 11 April 2016

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02529

zbMATH Keywords

Anderson localizationdynamical localizationbootstrap multi-scale analysis

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Applications of functional analysis in quantum physics (46N50)

Related Items (7)

Exponential scaling limit of the single-particle Anderson model via adaptive feedback scaling ⋮ Surface localization in impurity band with random displacements and long-range interactions ⋮ Fast decay of eigenfunction correlators in long-range continuous random alloys ⋮ Surface localization in impurity band with arbitrary singular disorder and long-range potentials ⋮ Multi-scale analysis of random alloy models with summable site potentials of infinite range ⋮ An optimal result on localization in random displacements models ⋮ On partial charge transfer processes in multiparticle systems on graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Exponential scaling limit of the single-particle Anderson model via adaptive feedback scaling
• On many-body localization for quantum spin chains
• Multi-scale analysis for random quantum systems with interaction
• The bootstrap multiscale analysis for the multi-particle Anderson model
• Efficient Anderson localization bounds for large multi-particle systems
• Anderson localization for a class of models with a sign-indefinite single-site potential via fractional moment method
• Moment analysis for localization in random Schrödinger operators
• A new proof of localization in the Anderson tight binding model
• Constructive proof of localization in the Anderson tight binding model
• Dynamical localization for discrete and continuous random Schrödinger operators
• Localization at large disorder and at extreme energies: an elementary derivation
• Localization for some continuous, random Hamiltonians in \(d\)-dimensions
• Direct scaling analysis of localization in single-particle quantum systems on graphs with diagonal disorder
• Localization for random and quasiperiodic potentials.
• From fixed-energy localization analysis to dynamical localization: an elementary path
• An optimal Wegner estimate and its application to the global continuity of the integrated density of states for random Schrödinger operators
• On localization in the continuous Anderson-Bernoulli model in higher dimension
• Bootstrap multiscale analysis and localization for multi-particle continuous Anderson Hamiltonians
• Schrödinger semigroups
• An Invitation to Random Schroedinger operators
• LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS
• Multi-scale analysis implies strong dynamical localization
• Bootstrap multiscale analysis and localization in random media
• Finite-volume fractional-moment criteria for Anderson localization
• Multi-scale Jacobi method for Anderson localization

This page was built for publication: Exponential scaling limit of the single-particle Anderson model via adaptive feedback scaling