Nonperturbative critical behavior of random-fields systems

Journal Article · Mon Jan 14 04:00:00 EST 1985 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.54.154· OSTI ID:6090086

Shapir, Y

The thermal critical properties of random-field systems in the observable, linear, local-response regime are considered. A consistent nonperturbative approach yields an effective reduced dimension d-bar = (d+1/..nu..(d-bar))/2 for the thermal exponents if ..cap alpha..(d-bar)< or =0. The consequences for Ising systems are particularly reliable at the upper and lower critical dimensions (d/sub u.c.d./ = 6 and d/sub l.c.d./ = 2, respectively) as well as at d = 3 where ..cap alpha.. = 0 (logarithmic divergence). The results are in agreement with measurements on random antiferromagnets of the specific heat (by linear birefringence) and the correlation length (by neutron scattering).

• Research Organization: Physics Department, Brookhaven National Laboratory, Upton, New York 11973
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 6090086
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 54:2; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANTIFERROMAGNETIC MATERIALS
CRYSTAL MODELS
ISING MODEL
MAGNETIC MATERIALS
MAGNETIC PROPERTIES
MAGNETIC SUSCEPTIBILITY
MATERIALS
MATHEMATICAL MODELS
PHYSICAL PROPERTIES
POTENTIALS
RANDOMNESS
SPECIFIC HEAT
THERMODYNAMIC PROPERTIES