Eigensystem multiscale analysis for the Anderson model via the Wegner estimate
From MaRDI portal
Publication:778112
DOI10.1007/s00023-020-00926-0zbMath1451.82019arXiv1910.14430OpenAlexW3105809423MaRDI QIDQ778112
Publication date: 30 June 2020
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.14430
Spectral theory and eigenvalue problems for partial differential equations (35P99) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Random linear operators (47B80)
Related Items
Power law logarithmic bounds of moments for long range operators in arbitrary dimension ⋮ An eigensystem approach to Anderson localization for multi-particle systems
Cites Work
- Unnamed Item
- Unnamed Item
- An eigensystem approach to Anderson localization
- Unique continuation principle for spectral projections of Schrödinger operators and optimal Wegner estimates for non-ergodic random Schrödinger operators
- Moment analysis for localization in random Schrödinger operators
- A new proof of localization in the Anderson tight binding model
- 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
- Localization at large disorder and at extreme energies: an elementary derivation
- Localization for some continuous, random Hamiltonians in \(d\)-dimensions
- Localization of classical waves. I: Acoustic waves
- Eigensystem bootstrap multiscale analysis for the Anderson model
- Localization phenomenon in gaps of the spectrum of random lattice operators
- Local fluctuation of the spectrum of a multidimensional Anderson tight binding model
- A comprehensive proof of localization for continuous Anderson models with singular random potentials
- Localization for random and quasiperiodic potentials.
- Generalized eigenvalue-counting estimates for the Anderson model
- Eigensystem multiscale analysis for Anderson localization in energy intervals
- 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
- Simplicity of eigenvalues in the Anderson model
- New characterizations of the region of complete localization for random Schrödinger operators
- Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization
- An Invitation to Random Schroedinger operators
- LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS
- Bootstrap multiscale analysis and localization in random media
- Finite-volume fractional-moment criteria for Anderson localization