Paper doi abstract bibtex

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 $\nu$ = 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.

@article{Honecker2001a, abstract = {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 $\nu$ = 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.}, author = {Honecker, A. and Picco, M. and Pujol, P.}, doi = {10.1103/PhysRevLett.87.047201}, file = {:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Honecker, Picco, Pujol - 2001 - Universality Class of the Nishimori Point in the 2D ±J Random-Bond Ising Model.pdf:pdf}, institution = {Institut f{\"{u}}r Theoretische Physik, TU Braunschweig, Mendelssohnstrasse 3, 38106 Braunschweig, Germany.}, issn = {0031-9007}, journal = {Physical review letters}, month = {jul}, number = {4}, pages = {047201}, pmid = {11461639}, publisher = {American Physical Society}, shorttitle = {Phys. Rev. Lett.}, title = {{Universality Class of the Nishimori Point in the 2D ±J Random-Bond Ising Model}}, url = {http://link.aps.org/doi/10.1103/PhysRevLett.87.047201 http://www.ncbi.nlm.nih.gov/pubmed/11461639}, volume = {87}, year = {2001} }

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