Corrections to Scaling and Crossover in Two-Dimensional Ising and Scalar-Spin Systems

Barma, Mustansir; Fisher, Michael E.

doi:10.1103/PhysRevLett.53.1935

Corrections to Scaling and Crossover in Two-Dimensional Ising and Scalar-Spin Systems

Mustansir Barma
(
- Cornell U., LNS
)
,
Michael E. Fisher
(
- Cornell U., LNS
)

Nov 12, 1984

3 pages

Published in:

Phys.Rev.Lett. 53 (1984) 1935-1938

DOI:

10.1103/PhysRevLett.53.1935

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Abstract: (APS)

Two-dimensional criticality is studied in the Klauder and double-Gaussian O(1) models which interpolate from a Gaussian model at y=0 to the S=12 Ising model at y=1. Despite strong crossover effects for 00 and yield a correction exponent θ=1.35±0.25. The conjecture θ=43 in the absence of a related critical operator, and the observation γeff≃2.0 in the Klauder, double-Gaussian, and λϕ4 models, are discussed.

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