A remark about internal Lifshitz asymptotes

DOI10.1016/S1631-073X(02)02415-9zbMath1003.60063OpenAlexW2078861156MaRDI QIDQ1608687

Frédéric Klopp

Publication date: 9 January 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02415-9

zbMATH Keywords

integrated density of statesrandom Schrödinger operator

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 (2)

Results dealing with the behavior of the integrated density of states of random divergence operators ⋮ Lifshits tails caused by anisotropic decay: the emergence of a quantum-classical regime

Cites Work

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• On a class of random Schrödinger operators
• Semiclassical analysis of low lying eigenvalues. III: Width of the ground state band in strongly coupled solids
• Comparison theorems for the gap of Schrödinger operators
• Comportement semi-classique pour l'opérateur de Schrödinger à potentiel périodique. (Semi-classical behaviour of the Schrödinger operator with periodic potential)
• Internal Lifshits tails for random perturbations of periodic Schrödinger operators.
• PRECISE HIGH ENERGY ASYMPTOTICS FOR THE INTEGRATED DENSITY OF STATES OF AN UNBOUNDED RANDOM JACOBI MATRIX
• Internal Lifshitz tails for Schrödinger operators with random potentials
• Caught by disorder. Bound states in random media

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