Exact characterization of O(n) tricriticality in two dimensions

Details Exact characterization of O(n) tricriticality in two dimensions Exact characterization of O(n) tricriticality in two dimensions

2005-11-11

arxiv.org/abs/cond-mat/0511277v1

Phys. Rev. Lett. 96, 045704(2006)

Physics

Condensed Matter

Statistical Mechanics

submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.96.045704

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 $-2 \leq n \leq 3/2$. 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.

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