O(n) tricriticality in two dimensions |
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| Authors: | Guo Wen-an Henk W J Bl?te and Bernard Nienhuis |
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| Institution: | (1) Physics Department, Beijing Normal University, Beijing, 100875, China;(2) Faculty of Applied Sciences, Delft University of Technology, P. O. Box 5046, 2600 GA Delft, The Netherlands;(3) Instituut Lorentz, Leiden University, P.O. Box 9506, 2300 RA Leiden, The Netherlands;(4) Instituut voor Theoretische Fysica, Universiteit van Amsterdam, Valckenierstraat 65, The Netherlands |
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| Abstract: | We present exact results for several universal parameters of the tricritical O(n) model in two dimensions. The results apply to the range −2⩽n⩽3/2, and include the central charge and three scaling dimensions, associated with temperature, magnetic field and the introduction
of an interface. Since these results are based on an extrapolation of known relations between the O(n) and the Potts model, they cannot be considered as rigorous. For this reason, we perform an accurate numerical analysis of
the central charge and the critical exponents. This analysis, which is based on transfer-matrix calculations on the honeycomb
lattice, is in a full and precise agreement with the theoretical predictions.
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| Keywords: | O(n) model tricriticality critical exponents |
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