Lifschitz singularities for periodic operators plus random potentials

DOI10.1007/BF01017565zbMath0971.82508MaRDI QIDQ1907335

G. Andrei Mezincescu

Publication date: 21 February 1996

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet formsdensity of statesrandom operators\( \chi\)-boundingLifschitz singularity

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) General theory of partial differential operators (47F05)

Related Items (16)

Generalized Eigenfunctions and Spectral Theory for Strongly Local Dirichlet Forms ⋮ Lifshitz tails for Anderson models with sign-indefinite single-site potentials ⋮ Quantum Hamiltonians with weak random abstract perturbation. II: Localization in the expanded spectrum ⋮ Lifschitz tail for alloy-type models driven by the fractional Laplacian ⋮ Lifshitz tails for Schrödinger operators with random breather potential ⋮ Lifshitz tails for 2-dimensional random Schrödinger operators. ⋮ Low lying eigenvalues of randomly curved quantum waveguides ⋮ Internal Lifshits tails for random perturbations of periodic Schrödinger operators. ⋮ Lifshitz tails in constant magnetic fields ⋮ 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 ⋮ Some remarks on discrete aperiodic Schrödinger operators ⋮ Localization near fluctuation boundaries via fractional moments and applications ⋮ Internal Lifschitz singularities for one dimensional Schrödinger operators ⋮ Lifshitz tails for random perturbations of periodic Schrödinger operators ⋮ Anderson localization and Lifshits tails for random surface potentials

Cites Work

• Unnamed Item
• Large deviations and Lifshitz singularity of the integrated density of states of random Hamiltonians
• Lifshitz tails for periodic plus random potentials
• Internal Lifschitz singularities of disordered finite-difference Schrödinger operators
• Internal Lifschitz tails
• ON THE SPECTRUM OF THE ONE-DIMENSIONAL SCHRÖDINGER EQUATION WITH A RANDOM POTENTIAL

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