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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[21] Strong-randomness phenomena in quantum Ashkin-Teller models [J].

Barghathi, Hatem ;

Hrahsheh, Fawaz ;

Hoyos, Jose A. ;

Narayanan, Rajesh ;

Vojta, Thomas .

PHYSICA SCRIPTA, 2015, T165

[22] Multicritical phase diagram of the three-dimensional Ashkin-Teller model including metastable and unstable phases [J].

Santos, J. P. ;

Avila, J. A. J. ;

Rosa, D. S. ;

Francisco, R. M. .

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2019, 469 :35-39

[23] Numerical evidence of the double-Griffiths phase of the random quantum Ashkin-Teller chain [J].

Chatelain, Christophe ;

Voliotis, Dimitrios .

EUROPEAN PHYSICAL JOURNAL B, 2016, 89 (01) :1-12

[24] Monte Carlo simulations of the disordered three-color quantum Ashkin-Teller chain [J].

Ibrahim, Ahmed K. ;

Vojta, Thomas .

PHYSICAL REVIEW B, 2017, 95 (05)

[25] Phase diagrams of 2D Ashkin-Teller model within the effect of crystal field and quantum transverse field [J].

Dani, I. ;

Tahiri, N. ;

Ez-Zahraouy, H. ;

Benyoussef, A. .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 492 :2310-2315

[26] Phase diagrams and magnetization curves of the three-dimensional spin-1 Ashkin-Teller model including metastable and unstable states [J].

Francisco, R. M. ;

Carvalho, J. J. ;

Oyadomari, G. Y. ;

Santos, J. P. .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 531

[27] Dynamic magnetic properties and multicritical phase diagram of the spin-1/2 Ashkin-Teller model under a time dependent external field [J].

Santos, J. P. ;

Francisco, R. M. ;

Rosa, D. S. .

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2021, 538

[28] Global Ashkin-Teller phase diagrams in two and three dimensions: Multicritical bifurcation versus double tricriticality-endpoint [J].

Kecoglu, Ibrahim ;

Berker, A. Nihat .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2023, 630