Lifshitz asymptotics via linear coupling of disorder

DOI10.1023/A:1009845206542zbMath0956.60071OpenAlexW2118682330MaRDI QIDQ1973262

Yanyan Li

Publication date: 7 March 2001

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009845206542

zbMATH Keywords

Anderson modelrandom Schrödinger operatorsPoisson modelLifshitz asymptotics

Mathematics Subject Classification ID

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

Lifshitz asymptotics for percolation Hamiltonians ⋮ Lifshitz tails for 2-dimensional random Schrödinger operators. ⋮ Asymptotics of negative exponential moments for annealed Brownian motion in a renormalized Poisson potential ⋮ Spectral asymptotics of the Laplacian on supercritical bond-percolation graphs ⋮ Lifshits tails caused by anisotropic decay: the emergence of a quantum-classical regime ⋮ Lifshitz tails for a class of Schrödinger operators with random breather-type potential ⋮ Finite-volume fractional-moment criteria for Anderson localization ⋮ Lifshits tails for squared potentials ⋮ Lifschitz tails for random Schrödinger operator in Bernoulli distributed potentials ⋮ Localization near fluctuation boundaries via fractional moments and applications ⋮ Lifshitz tails for random perturbations of periodic Schrödinger operators