Corrections to scaling and crossover in two-dimensional Ising and Scalar-spin systems

Barma, Mustansir ; Fisher, Michael E. (1984) Corrections to scaling and crossover in two-dimensional Ising and Scalar-spin systems Physical Review Letters, 53 (20). pp. 1935-1938. ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v53/i20/p1935_1

Related URL: http://dx.doi.org/10.1103/PhysRevLett.53.1935

Abstract

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=1/2 Ising model at y=1. Despite strong crossover effects for 0<y≲ 0.6, partial differential approximants for the two-variable susceptibility series indicate criticality of Ising type for all y>0 and yield a correction exponent θ=1.35± 0.25. The conjecture θ=4/3 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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Deposited On:27 Jan 2012 12:57
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