Universality class of the Nishimori point in the 2D +/- J random-bond Ising model

Universality class of the Nishimori point in the 2D +/- J random-bond Ising model

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 p(c) = 0.1094 +/-...

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Bibliographic Details
Published in:Physical review letters Vol. 87; no. 4; p. 047201
Main Authors: Honecker, A, Picco, M, Pujol, P
Format: Journal Article
Language:English
Published: United States The American Physical Society 23-07-2001
Subjects:
CORRELATION FUNCTIONS
FREE ENERGY
ISING MODEL
MATERIALS SCIENCE
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Summary: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 p(c) = 0.1094 +/- 0.0002 and estimate nu = 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.
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content type line 23
US
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.87.047201