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Phys. Rev. Lett. 87, 047201 (2001) [4 pages]

Universality Class of the Nishimori Point in the 2D ±J Random-Bond Ising Model

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A. Honecker1, M. Picco2, and P. Pujol3,*,†
1Institut für Theoretische Physik, TU Braunschweig, Mendelssohnstrasse 3, 38106 Braunschweig, Germany
2LPTHE, Université Pierre et Marie Curie, Paris VI, Université Denis Diderot, Paris VII Boite 126, Tour 16, 1er étage, 4 place Jussieu, 75252 Paris Cédex 05, France
3Laboratoire de Physique, Groupe de Physique Théorique, ENS Lyon, 46 Allée d'Italie, 69364 Lyon Cédex 07, France

Received 11 October 2000; published 5 July 2001

We study the universality class of the Nishimori point in the 2D ±J random-bond Ising model by means of the numerical transfer-matrix method. Using the domain-wall free energy, we locate the position of the fixed point along the Nishimori line at the critical concentration value pc = 0.1094±0.0002 and estimate ν = 1.33±0.03. Then, we obtain the exponents for the moments of the spin-spin correlation functions as well as the value for the central charge c = 0.464±0.004. The main qualitative result is the fact that percolation is now excluded as a candidate for describing the universality class of this fixed point.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.047201
DOI:
10.1103/PhysRevLett.87.047201
PACS:
75.50.Lk, 05.50.+q, 64.60.Fr

*Unité Mixte de Recherche CNRS UMR 7589.

URA 1325 du CNRS associée à l'Ecole Normale Supérieure de Lyon.