Nishimori point in random-bond Ising and Potts models in 2D

Details Nishimori point in random-bond Ising and Potts models in 2D Nishimori point in random-bond Ising and Potts models in 2D

2001-12-05

arxiv.org/abs/cond-mat/0112069v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 3 figures. Contribution to the proceedings of the NATO Advanced Research Workshop on Statistical Field Theories, Com

Scientific paper

We study the universality class of the fixed points of the 2D random bond q-state Potts model by means of numerical transfer matrix methods. In particular, we determine the critical exponents associated with the fixed point on the Nishimori line. Precise measurements show that the universality class of this fixed point is inconsistent with percolation on Potts clusters for q=2, corresponding to the Ising model, and q=3

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