Exact characterization of O(n) tricriticality in two dimensions
Statistical Mechanics
2009-11-11 v1
Abstract
We propose exact expressions for the conformal anomaly and for three critical exponents of the tricritical O(n) loop model as a function of n in the range . These findings are based on an analogy with known relations between Potts and O(n) models, and on an exact solution of a 'tri-tricritical' Potts model described in the literature. We verify the exact expressions for the tricritical O(n) model by means of a finite-size scaling analysis based on numerical transfer-matrix calculations.
Cite
@article{arxiv.cond-mat/0511277,
title = {Exact characterization of O(n) tricriticality in two dimensions},
author = {Wenan Guo and Bernard Nienhuis and Henk W. J. Blöte},
journal= {arXiv preprint arXiv:cond-mat/0511277},
year = {2009}
}
Comments
submitted to Phys. Rev. Lett