Further evidence of the absence of replica symmetry breaking in random bond Potts models
M.-A Lewis
In this letter we present supporting evidence for the replica symmetric approach to the random bond q -state Potts models. The evidence is statistically strong enough to reject the applicability of the Parisi replica symmetry breaking scheme to this class of models. The test we use is a generalization of one formerly proposed by Dotsenko et al. ( Nucl. Phys. B , 520 (1998) 633) and consists in measuring scaling laws of disordered-averaged moments of the spin-spin correlation functions. Numerical results, obtained via Monte Carlo simulations for several values of q , are shown to be in fair agreement with the replica symmetric values computed by using perturbative CFT (Dotsenko Vik. S. et al. , Nucl. Phys. B , 520 (1998) 633; Lewis M.-A., Europhys. Lett. , 43 (1998) 189) for the second and third moments of the q = 3 model. RSB effects, which should increase in strength with moment, are unobserved.
arXiv:cond-mat/9905401•Europhysics Letters (EPL)•Dec 15, 1999•2 citations