Regularity of the density of states in the Anderson model on a strip for potentials with singular continuous distributions

DOI10.1007/BF01023635zbMath0716.60132MaRDI QIDQ753303

Jean Lacroix, Athanasios Speis, Abel Klein

Publication date: 1989

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

zbMATH Keywords

Anderson modelcharacteristic functionregularity properties

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Related Items

A lower bound for the Lyapounov exponents of the random Schrödinger operator on a strip, Smoothness of integrated density of states of the Anderson model on Bethe lattice in high disorder, Ballistic behavior for random Schrödinger operators on the Bethe strip, Localization for the Anderson model on a strip with singular potentials, Lifshitz tails for acoustic waves in random quantum waveguide, Weak disorder expansions for the Anderson model on a one dimensional strip at the center of the band, A note on the analyticity of density of states, Lifshitz tails for quantum waveguides with random boundary conditions, Absolutely continuous spectrum for random Schrödinger operators on the Bethe strip, Regularity of the density of states of random Schrödinger operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Almost periodic Schrödinger operators. II: The integrated density of states
• Remark on the continuity of the density of states of ergodic finite difference operators
• Supersymmetry and the Parisi-Sourlas dimensional reduction: a rigorous proof
• Regularity of the invariant measure and of the density of states in the one-dimensional Anderson model
• Smoothness of the integrated density of states on strips
• Subharmonicity of the Lyapunov index
• Harmonic analysis on SL(2,R) and smoothness of the density of states in the one-dimensional Anderson model
• Analyticity of the density of states and replica method for random Schrödinger operators on a lattice
• A supersymmetric transfer matrix and differentiability of the density of states in the one-dimensional Anderson model
• Smoothness of the density of states in the Anderson model on a one- dimensional strip
• Smoothness of the density of states in the Anderson model at high disorder
• Spectral properties of disordered systems in the one-body approximation
• Sur le spectre des opérateurs aux différences finies aléatoires
• Localization for the Anderson model on a strip with singular potentials
• Anderson localization for Bernoulli and other singular potentials
• Bounds on the density of states of random Schrödinger operators.
• On the density of states of Schrodinger operators with a random potential
• ON THE SPECTRUM OF THE ONE-DIMENSIONAL SCHRÖDINGER EQUATION WITH A RANDOM POTENTIAL