Renormalisation group calculation of correlation functions for the 2D random bond Ising and Potts models

Details Renormalisation group calculation of correlation functions for the 2D random bond Ising and Potts models Renormalisation group calculation of correlation functions for the 2D random bond Ising and Potts models

1995-01-07

arxiv.org/abs/hep-th/9501017v1

Nucl.Phys. B455 (1995) 701-723

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, latex, no figures

Scientific paper

10.1016/0550-3213(95)00534-Y

We find the cross-over behavior for the spin-spin correlation function for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation approach of the perturbation series around the conformal field theories representing the pure models. We obtain a crossover in the amplitude for the correlation function for the Ising model which doesn't change the critical exponent, and a shift in the critical exponent produced by randomness in the case of the Potts model. A comparison with numerical data is discussed briefly.

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