Random Schrödinger operators and Anderson localization in aperiodic media
DOI10.1142/S0129055X20600107zbMath1471.82006arXiv2002.01725MaRDI QIDQ5156025
Publication date: 14 October 2021
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.01725
integrated density of statesmultiscale analysisAnderson localizationaperiodic mediaDelone operatorsdisordered quasicrystals
Random operators and equations (aspects of stochastic analysis) (60H25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random linear operators (47B80)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unique continuation principle for spectral projections of Schrödinger operators and optimal Wegner estimates for non-ergodic random Schrödinger operators
- Band edge localization beyond regular Floquet eigenvalues
- Localization near fluctuation boundaries via fractional moments and applications
- Spectral properties of disordered systems in the one-body approximation
- A pure point spectrum of the stochastic one-dimensional Schrödinger operator
- Operators with singular continuous spectrum. I: General operators
- A general framework for localization of classical waves. II: Random media
- A comprehensive proof of localization for continuous Anderson models with singular random potentials
- Characterization of the Anderson metal-insulator transition for non ergodic operators and application
- Scale-free unique continuation estimates and applications to random Schrödinger operators
- Characterization of the metal-insulator transport transition for the two-particle Anderson model
- On localization in the continuous Anderson-Bernoulli model in higher dimension
- Generic sets in spaces of measures and generic singular continuous spectrum for Delone Hamiltonians
- Ergodicity and dynamical localization for Delone–Anderson operators
- Ergodic Properties of Randomly Coloured Point Sets
- Random Schr\"odinger Operators on discrete structures
- The Anderson model with missing sites
- Caught by disorder. Bound states in random media
This page was built for publication: Random Schrödinger operators and Anderson localization in aperiodic media