O(n) tricriticality in two dimensions

被引:0
|
作者
Guo W.-A. [1 ]
Blöte H.W.J. [2 ,3 ]
Nienhuis B. [4 ]
机构
[1] Physics Department, Beijing Normal University
[2] Faculty of Applied Sciences, Delft University of Technology, 2600 GA Delft
[3] Instituut Lorentz, Leiden University, 2300 RA Leiden
[4] Instituut voor Theoretische Fysica, Universiteit Van Amsterdam
来源
Frontiers of Physics in China | 2007年 / 2卷 / 1期
基金
中国国家自然科学基金;
关键词
Critical exponents; O(n) model; Tricriticality;
D O I
10.1007/s11467-007-0010-y
中图分类号
学科分类号
摘要
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. © Higher Education Press 2007.
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页码:103 / 108
页数:5
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