Critical interfaces and duality in the Ashkin-Teller model

被引:8
|
作者
Picco, Marco [1 ]
Santachiara, Raoul [2 ]
机构
[1] Univ Paris 06, Phys Theor & Hautes Energies Lab, CNRS, UMR 7589, F-75252 Paris 05, France
[2] Univ Paris Sud, Lab Phys Theor & Modeles Stat, CNRS, UMR 8626, F-91405 Orsay, France
来源
PHYSICAL REVIEW E | 2011年 / 83卷 / 06期
关键词
FIELD-THEORY; ISING-MODEL;
D O I
10.1103/PhysRevE.83.061124
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We report on the numerical measures on different spin interfaces and Fortuin-Kasteleyn (FK) cluster boundaries in the Askhin-Teller (AT) model. For a general point on the AT critical line, we find that the fractal dimension of a generic spin cluster interface can take one of four different possible values. In particular we found spin interfaces whose fractal dimension is d(f) = 3/2 all along the critical line. Furthermore, the fractal dimension of the boundaries of FK clusters was found to satisfy all along the AT critical line a duality relation with the fractal dimension of their outer boundaries. This result provides clear numerical evidence that such duality, which is well known in the case of the O(n) model, exists in an extended conformal field theory.
引用
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页数:5
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