Critical line of an n-component cubic model
Abstract
We consider a special case of the n-component cubic model on the square lattice, for which an expansion exists in Ising-like graphs. We construct a transfer matrix and perform a finite-size-scaling analysis to determine the critical points for several values of n. Furthermore we determine several universal quantities, including three critical exponents. For n<2, these results agree well with the theoretical predictions for the critical O(n) branch. This model is also a special case of the () model of Domany and Riedel. It appears that the self-dual plane of the latter model contains the exactly known critical points of the n=1 and 2 cubic models. For this reason we have checked whether this is also the case for 1<n<2. However, this possibility is excluded by our numerical results.
Keywords
Cite
@article{arxiv.cond-mat/0510571,
title = {Critical line of an n-component cubic model},
author = {Wenan Guo and Xiaofeng Qian and Henk W. J. Blöte and F. Y. Wu},
journal= {arXiv preprint arXiv:cond-mat/0510571},
year = {2009}
}