Ashkin-Teller model on the iso-radial graphs

被引：3

作者：

Lottini, S. ^{[1
]}

Rajabpour, M. A. ^{[2
,3
]}

机构：

[1] Univ Munster, D-48149 Munster, Germany

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

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

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2010年

关键词：

solvable lattice models; classical Monte Carlo simulations; classical phase transitions (theory); phase diagrams (theory); PHASE-DIAGRAM; CRITICAL-BEHAVIOR; QUANTUM CHAIN; TRANSITIONS; LINE; SLE;

D O I：

10.1088/1742-5468/2010/06/P06027

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We find the critical surface of the Ashkin-Teller model on the generic iso-radial graphs by using the results for the anisotropic Ashkin-Teller model on the square lattice. Different geometrical aspects of this critical surface are discussed, especially their connection to the anisotropy angle. The free energy of the model on the generic iso-radial graph is extracted using the inversion identities. In addition, lattice holomorphic variables are discussed at some particular points of the critical line. We check our conjectures numerically for the anisotropic triangular lattice Ashkin-Teller model.

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页数：22

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