Spin-glass order parameter of the random-field Ising model

Journal Article · Sat Sep 01 04:00:00 EDT 1984 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.30.2955· OSTI ID:6382265

Richards, P M

The Edwards-Anderson spin-glass order parameter Q is calculated in the critical region for the random-field Ising model. It is proportional to h/sup( d/-2+eta)/(1-eta/2) in d dimensions for a root-mean-square random field h and critical exponent eta. Thus Q approaches zero as h..-->..0, whereas simple linearized theory predicts it to diverge at the critical point of the pure system. The results are exact to order h/sup 4/ and in agreement with scaling theories. Numerical values are given both for Q and the amplitude of the ''Lorentzian-squared'' structure factor.

• Research Organization: Sandia National Laboratories, Albuquerque, New Mexico 87185
• DOE Contract Number: AC04-76DP00789
• OSTI ID: 6382265
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 30:5; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
COHERENT SCATTERING
CRITICAL TEMPERATURE
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
CUBIC LATTICES
DIFFRACTION
ISING MODEL
MATHEMATICAL MODELS
NEUTRON DIFFRACTION
ORDER PARAMETERS
PHYSICAL PROPERTIES
RANDOMNESS
SCALING LAWS
SCATTERING
STRUCTURE FACTORS
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE