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Critical behavior of random-bond Potts models
被引:151
作者:
Cardy, J
Jacobsen, JL
机构:
[1] UNIV OXFORD ALL SOULS COLL, OXFORD OX1 4AL, ENGLAND
[2] AARHUS UNIV, INST PHYS & ASTRON, DK-8000 AARHUS, DENMARK
关键词:
D O I:
10.1103/PhysRevLett.79.4063
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
The effect of quenched impurities On systems undergoing first-order phase transitions is studied within the framework of the q-state Potts model. For large q a mapping to the random-field Ising model explains the absence of any latent heat in 2D, and suggests that for d > 2 such systems exhibit a tricritical point with an exponent nu related to those of the random-field model by nu = nu(RF)/(2 - alpha(RF) - beta(RF)) In 2D we analyze the model using finite-size scaling and conformal invariance, and find a continuous transition with a ratio beta/nu which varies continuously with q, and a weakly varying exponent nu approximate to 1. We find strong evidence for the multiscaling of the correlation functions.
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页码:4063 / 4066
页数:4
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