From fixed-energy localization analysis to dynamical localization: an elementary path
From MaRDI portal
Publication:2249269
DOI10.1007/s10955-014-0937-7zbMath1295.82015OpenAlexW1992130685MaRDI QIDQ2249269
Publication date: 10 July 2014
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10955-014-0937-7
Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)
Related Items (15)
Efficient localization bounds in a continuous \(N\)-particle Anderson model with long-range interaction ⋮ Exponential scaling limit of the single-particle Anderson model via adaptive feedback scaling ⋮ Level spacing for non-monotone Anderson models ⋮ Surface localization in impurity band with random displacements and long-range interactions ⋮ Fast decay of eigenfunction correlators in long-range continuous random alloys ⋮ Universal regularity of higher-dimensional disorder and density of states under non-local interactions. I: Infinite smoothness and localization ⋮ Surface localization in impurity band with arbitrary singular disorder and long-range potentials ⋮ Localization in asymmetric random displacements models with infinite range of interaction ⋮ Uniform Anderson localization, unimodal eigenstates and simple spectra in a class of ``haarsh deterministic potentials ⋮ Multi-scale analysis of random alloy models with summable site potentials of infinite range ⋮ Multi-scale Jacobi method for Anderson localization ⋮ Localization in the multi-particle tight-binding Anderson model at low energy ⋮ Non-perturbative Anderson localization in heavy-tailed potentials via large deviations moment analysis ⋮ Towards localization in long-range continuous interactive Anderson models ⋮ Anderson localization in discrete random displacements models
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The bootstrap multiscale analysis for the multi-particle Anderson model
- Localization criteria for Anderson models on locally finite graphs
- Anderson localization for a class of models with a sign-indefinite single-site potential via fractional moment method
- Anderson localization for generic deterministic operators
- Localization for random Schrödinger operators with correlated potentials
- Moment analysis for localization in random Schrödinger operators
- A new proof of localization in the Anderson tight binding model
- On Bernoulli decompositions for random variables, concentration bounds, and spectral localization
- Multi-particle Anderson localisation: Induction on the number of particles
- 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
- Remark on the absence of absolutely continuous spectrum for d-dimensional Schrödinger operators with random potential for large disorder or low energy
- Sur le spectre des opérateurs aux différences finies aléatoires
- A pure point spectrum of the stochastic one-dimensional Schrödinger operator
- Dynamical localization for discrete and continuous random Schrödinger operators
- Localization at large disorder and at extreme energies: an elementary derivation
- On eigenfunction expansions and scattering theory
- Upper bounds for eigenvalues of the discrete and continuous Laplace operators
- Direct scaling analysis of localization in single-particle quantum systems on graphs with diagonal disorder
- 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
- On Mott's formula for the ac-conductivity in the Anderson model
- On localization in the continuous Anderson-Bernoulli model in higher dimension
- Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization
- Linear response theory for magnetic Schrödinger operators in disordered media
- Schrödinger semigroups
- A Short Introduction to Anderson Localization
- Singular continuous spectrum under rank one perturbations and localization for random hamiltonians
- Diameters and Eigenvalues
- Localization bounds for an electron gas
- LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS
- On nonperturbative localization with quasi-periodic potential.
- Multi-scale analysis implies strong dynamical localization
- Bootstrap multiscale analysis and localization in random media
- Anderson localization for Schrödinger operators on \(\mathbb Z\) with potentials given by the skew-shift
- How to prove dynamical localization
- Finite-volume fractional-moment criteria for Anderson localization
This page was built for publication: From fixed-energy localization analysis to dynamical localization: an elementary path