Weak disorder expansions for the Anderson model on a one dimensional strip at the center of the band

DOI10.1007/BF02096942zbMath0772.60102OpenAlexW2060451532MaRDI QIDQ1201411

Athanasios Speis

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1007/bf02096942

zbMATH Keywords

random Schrödinger operatorsLyapunov exponentsrandom potentialsGreen matrixprobability distribution of the potential

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Random operators and equations (aspects of stochastic analysis) (60H25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Applications of functional analysis in statistical physics (46N55)

Related Items

Smoothness of integrated density of states of the Anderson model on Bethe lattice in high disorder ⋮ Regularity of the density of states of random Schrödinger operators

Cites Work

• Unnamed Item
• Regularity of the density of states in the Anderson model on a strip for potentials with singular continuous distributions
• Supersymmetry and the Parisi-Sourlas dimensional reduction: a rigorous proof
• Anomalies in the one-dimensional Anderson model at weak disorder
• Smoothness of the density of states in the Anderson model on a one- dimensional strip
• Localization for the Anderson model on a strip with singular potentials
• Weak disorder expansion of Liapunov exponents in a degenerate case.
• Weak disorder expansion of the invariant measure for the one-dimensional Anderson model.