Critical domain walls in the Ashkin-Teller model

被引：6

作者：

Caselle, M. ^{[1
,2
]}

Lottini, S. ^{[3
]}

Rajabpour, M. A. ^{[4
,5
]}

机构：

[1] Univ Torino, Dipartimento Fis Teor, I-10125 Turin, Italy

[2] Univ Torino, Ist Nazl Fis Nucl, I-10125 Turin, Italy

[3] Goethe Univ Frankfurt, D-60438 Frankfurt, Germany

[4] SISSA, I-34136 Trieste, Italy

[5] INFN, Sez Trieste, I-34136 Trieste, Italy

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2011年

关键词：

classical Monte Carlo simulations; fractal growth (theory); interfaces in random media (theory); QUANTUM CHAIN; SLE;

D O I：

10.1088/1742-5468/2011/02/P02039

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We study the fractal properties of interfaces in the 2d Ashkin-Teller model. The fractal dimension of the symmetric interfaces is calculated along the critical line of the model in the interval between the Ising and the four-states Potts models. Using Schramm's formula for crossing probabilities we show that such interfaces cannot be related to the simple SLE kappa, except for the Ising point. The same calculation on non-symmetric interfaces is performed in the four-states Potts model: the fractal dimension is compatible with the result coming from Schramm's formula, and we expect a simple SLE kappa in this case.

引用

页数：13

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