Exact characterization of O(n) tricriticality in two dimensions.
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<or=n<or=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.
Physics Department, Beijing Normal University, Beijing 100875, People's Republic of China.
Wenan
W
Guo
Bernard
B
Nienhuis
Henk W J
HW
Blöte