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

Journal Article · Sun Oct 01 00:00:00 EDT 1989 · Journal of Statistical Physics; (USA)

DOI:https://doi.org/10.1007/BF01023635· OSTI ID:6196639

Klein, A; Lacroix, J; Speis, A ^[1]

---

1. Univ. of California, Irvine (USA)

The authors derive regularity properties for the density of states in the Anderson model on a one-dimensional strip for potentials with singular continuous distributions. For example, if the characteristic function is infinitely differentiable with bounded derivatives and together with all its derivatives goes to zero at infinity, they show that the density of states is infinitely differentiable.

• OSTI ID: 6196639
• Journal Information: Journal of Statistical Physics; (USA), Vol. 57:1-2; 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
ENERGY DENSITY
BOUNDARY CONDITIONS
DISTRIBUTION FUNCTIONS
EIGENVECTORS
ELECTRON MOBILITY
HAMILTONIANS
HILBERT SPACE
INVARIANCE PRINCIPLES
ONE-DIMENSIONAL CALCULATIONS
PARTICLE MOBILITY
POTENTIALS
QUANTUM MECHANICS
RANDOMNESS
STATISTICAL MECHANICS
STOCHASTIC PROCESSES
SUPERSYMMETRY
TRANSFER MATRIX METHOD
TRANSPORT THEORY
BANACH SPACE
FUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
MOBILITY
QUANTUM OPERATORS
SPACE
SYMMETRY
656002* - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics