Griffiths singularities in random magnets: Results for a soluble model
- Department of Theoretical Physics, The University, Manchester M139PL, England (GB)
A soluble, but nontrivial, model of a dilute Ising ferromagnet is studied, with infinite-range interactions but finite average connectivity {ital c}. The density of (Yang-Lee) zeros of the partition function in the complex {ital z}=exp({minus}2{ital H}) plane (where {ital H} is the external magnetic field in units of the temperature) is calculated explicitly in the high-temperature phase for large but finite {ital c} and small {vert bar}{ital H}{vert bar}. The density of zeros on the unit circle {ital H}={ital i}{theta} has the form {rho}({theta}){similar to}exp{l brace}{minus}({ital cf}({ital K})/{vert bar}{theta}{vert bar})ln (1/{vert bar}{theta}{vert bar}){r brace} for {vert bar}{theta}{vert bar}{r arrow}0. The function {ital f}({ital K}) ({ital K}={ital J}/{ital T}) vanishes at the critical coupling {ital K}{sub {ital C}}(c). Heuristic arguments are given for the form of {rho}({theta}) expected for systems with short-range interactions.
- OSTI ID:
- 5470262
- Journal Information:
- Physical Review (Section) B: Condensed Matter; (USA), Vol. 40:10; ISSN 0163-1829
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
FERROMAGNETIC MATERIALS
ISING MODEL
THERMODYNAMIC PROPERTIES
MAGNETIZATION
MEAN-FIELD THEORY
ORDER PARAMETERS
PARTITION FUNCTIONS
RELAXATION
CRYSTAL MODELS
FUNCTIONS
MAGNETIC MATERIALS
MATERIALS
MATHEMATICAL MODELS
PHYSICAL PROPERTIES
656002* - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)