Perturbation expansion for a one-dimensional Anderson model with off-diagonal disorder

Journal Article · Fri Sep 01 00:00:00 EDT 1989 · Journal of Statistical Physics; (USA)

DOI:https://doi.org/10.1007/BF01016772· OSTI ID:6039435

Bovier, A ^[1]

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1. Universitaet Bonn (West Germany)

The weak disorder expansion for a random Schroedinger equation with off-diagonal disorder in one dimension is studied. The invariant measure, the density of states, and the Lyapunov exponent are computed. The most interesting feature in this model appears at the band center, where the differentiated density of states diverges, while the Lyapunov exponent vanishes. The invariant measure approaches an atomic measure concentrated on zero and infinity. The results extend previous work of Markos to all orders of perturbation theory.

• OSTI ID: 6039435
• Journal Information: Journal of Statistical Physics; (USA), Vol. 56:5-6; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CRYSTAL MODELS
ORDER PARAMETERS
SCHROEDINGER EQUATION
SERIES EXPANSION
BAND THEORY
ENERGY DENSITY
HAMILTONIANS
HILBERT SPACE
INVARIANCE PRINCIPLES
LYAPUNOV METHOD
MEASURE THEORY
ONE-DIMENSIONAL CALCULATIONS
ORDER-DISORDER TRANSFORMATIONS
PERTURBATION THEORY
RANDOMNESS
STATISTICAL MECHANICS
BANACH SPACE
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PHASE TRANSFORMATIONS
QUANTUM OPERATORS
SPACE
WAVE EQUATIONS
656002* - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics