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Exact characterization of O(n) tricriticality in two dimensions

Wenan Guo·Bernard Nienhuis·Henk W. J. Blöte
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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 $-2 \leq n \leq 3/2$. 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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Wenan Guo, Bernard Nienhuis, Henk W. J. Blöte. 2005-11-11. Exact characterization of O(n) tricriticality in two dimensions. https://doi.org/10.1103/physrevlett.96.045704

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