Critical behaviour of the two-dimensional EA model with a Gaussian bond distribution

Abstract

The spin-glass susceptibility of the two-dimensional EA model is investigated by the numerical transfer-matrix method. It is found that the droplet picture gives a fairly good description of the critical behaviour. The critical exponent theta identical to -1/ nu is estimated as theta =-0.48(1), both through finite-size scaling and through the coherent-anomaly method (CAM). The present estimate is consistent with the authors' previous estimate theta =-0.476. These values do not, however, agree with the stiffness-exponent estimate theta S through the domain-wall scaling. This disagreement suggests that the assumption theta = theta S in the domain-wall scaling does not hold.