Lifshitz tails for random Schrödinger operators with negative singular Poisson potential

DOI10.1007/s002200050698zbMath0937.60098OpenAlexW2349062452MaRDI QIDQ1817756

Frédéric Klopp, Leonid Pastur

Publication date: 7 June 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050698

zbMATH Keywords

random Schrödinger operatorDirichlet-Neumann bracketingPoisson random potentialscreened Coulomb impurities

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items (13)

Internal Lifshitz tails for Schrödinger operators with random potentials ⋮ The integrated density of states for an interacting multiparticle homogeneous model and applications to the Anderson model ⋮ Upper bound for the Bethe-Sommerfeld threshold and the spectrum of the Poisson random Hamiltonian in two dimensions ⋮ Classical and quantum behavior of the integrated density of states for a randomly perturbed lattice ⋮ Asymptotic behaviors of the integrated density of states for random Schrödinger operators associated with Gibbs point processes ⋮ Lifshitz tails for 2-dimensional random Schrödinger operators. ⋮ Asymptotics of negative exponential moments for annealed Brownian motion in a renormalized Poisson potential ⋮ Very low energy behaviour of the integrated density of states of the unbounded Anderson model ⋮ Lifshitz tails in constant magnetic fields ⋮ An improved Combes-Thomas estimate of magnetic Schrödinger operators ⋮ Non-Lifshitz tails at the spectral bottom of some random operators ⋮ The integrated density of states in strong magnetic fields ⋮ Lifshitz tails for random perturbations of periodic Schrödinger operators

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