A characterization of the Anderson metal-insulator transport transition
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Publication:1881730
DOI10.1215/S0012-7094-04-12423-6zbMath1062.82020OpenAlexW1963803740MaRDI QIDQ1881730
Publication date: 15 October 2004
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-04-12423-6
Random operators and equations (aspects of stochastic analysis) (60H25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random linear operators (47B80)
Related Items (45)
Operator kernel estimates for functions of generalized Schrödinger operators ⋮ Moment analysis for localization in random Schrödinger operators ⋮ Power law logarithmic bounds of moments for long range operators in arbitrary dimension ⋮ Wegner estimates and localization for Gaussian random potentials ⋮ Generic quasilocalized and quasiballistic discrete Schrödinger operators ⋮ Localization for a matrix-valued Anderson model ⋮ Transfer matrices and transport for Schrödinger operators. ⋮ Enhanced Wegner and Minami estimates and eigenvalue statistics of random Anderson models at spectral edges ⋮ Dynamical localization for unitary Anderson models ⋮ Bounds on the spectral shift function and the density of states ⋮ Sub-exponential decay of operator kernels for functions of generalized Schrödinger operators ⋮ Local Wegner and Lifshitz tails estimates for the density of states for continuous random Schrödinger operators ⋮ Generalized eigenvalue-counting estimates for the Anderson model ⋮ Quantum Hamiltonians with weak random abstract perturbation. II: Localization in the expanded spectrum ⋮ Characterization of the metal-insulator transport transition for the two-particle Anderson model ⋮ Bounds on the density of states for Schrödinger operators ⋮ Characterization of the Anderson metal-insulator transition for non ergodic operators and application ⋮ Low lying spectrum of weak-disorder quantum waveguides ⋮ Exact mobility edges for 1D quasiperiodic models ⋮ Localization for random operators with non-monotone potentials with exponentially decaying correlations ⋮ Wegner estimates for sign-changing single site potentials ⋮ Asymptotic ergodicity of the eigenvalues of random operators in the localized phase ⋮ Quantization of edge currents along magnetic barriers and magnetic guides ⋮ A characterization of singular packing subspaces with an application to limit-periodic operators ⋮ Minami's estimate: beyond rank one perturbation and monotonicity ⋮ Some generic fractal properties of bounded self-adjoint operators ⋮ An improved Combes-Thomas estimate of magnetic Schrödinger operators ⋮ Localization for Random Block Operators ⋮ Phase Transition for the Speed of the Biased Random Walk on the Supercritical Percolation Cluster ⋮ New characterizations of the region of complete localization for random Schrödinger operators ⋮ Lifshitz tails for a class of Schrödinger operators with random breather-type potential ⋮ Edge and impurity effects on quantization of Hall currents ⋮ Quantitative unique continuation principle for Schrödinger operators with singular potentials ⋮ Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent ⋮ Towards localization in long-range continuous interactive Anderson models ⋮ Local behavior of solutions of the stationary Schrödinger equation with singular potentials and bounds on the density of states of Schrödinger operators ⋮ Quantum quasiballistic dynamics and thick point spectrum ⋮ A note on spectrum and quantum dynamics ⋮ Discrete Schrödinger Operators with Random Alloy-type Potential ⋮ Band edge localization beyond regular Floquet eigenvalues ⋮ Linear response theory for magnetic Schrödinger operators in disordered media ⋮ SPECTRAL PROPERTIES OF DYNAMICAL LOCALIZATION FOR SCHRÖDINGER OPERATORS ⋮ On the Lipschitz continuity of the integrated density of states for sign-indefinite potentials ⋮ Global Poissonian behavior of the eigenvalues and localization centers of random operators in the localized phase ⋮ Honeycomb structures in magnetic fields
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