The Critical Behavior of the Antiferromagnetic Ising Model with Long-Range Interaction Effects

被引：2

作者：

Belim, S. V. ^{[1
]}

Larionov, I. B. ^{[1
]}

机构：

[1] Dostoevsky Omsk State Univ, Omsk 644077, Russia

来源：

MOSCOW UNIVERSITY PHYSICS BULLETIN | 2018年 / 73卷 / 04期

关键词：

critical phenomena; antiferromagnetic Ising model; long-range interaction effects; EXCHANGE INTERACTIONS; CRITICAL EXPONENTS; RENORMALIZATION; SYSTEMS;

D O I：

10.3103/S0027134918040021

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the antiferromagnetic Ising model with ferromagnetic long-range interaction is modeled by the Monte Carlo method. The case of ferromagnetic long-range forces decreasing by a power law is considered. The dependence of the phase-transition temperature on long-range interaction parameters is obtained. The phase diagram was constructed at different values of long-range interaction parameters. Conditions for the existence of the frustrated state of the system were revealed.

引用

页码：394 / 397

页数：4

共 20 条

[1] Effect of elastic deformations on the critical behavior of disordered systems with long-range interactions [J].

Belim, SV .

JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2004, 98 (02) :316-321

[2] Effect of long-range interactions on the multicritical behavior of homogeneous systems [J].

Belim, SV .

JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2004, 98 (02) :338-340

[3] Effect of long-range interactions on the critical behavior of three-dimensional disordered systems [J].

Belim, SV .

JETP LETTERS, 2003, 77 (08) :434-437

[4] Influence of long-range effects on the critical behavior of three-dimensional systems [J].

Belim, SV .

JETP LETTERS, 2003, 77 (02) :112-114

[5] CRITICAL PROPERTIES FROM MONTE-CARLO COARSE GRAINING AND RENORMALIZATION [J].

BINDER, K .

PHYSICAL REVIEW LETTERS, 1981, 47 (09) :693-696

[6] Critical exponents and amplitudes of the ferromagnetic transition in La0.1Ba0.9VS3 [J].

Cabassi, R. ;

Bolzoni, F. ;

Gauzzi, A. ;

Licci, F. .

PHYSICAL REVIEW B, 2006, 74 (18)

[7] Relationship between coupling constants in Heisenberg exchange Hamiltonian and Ising model [J].

Datta, Sambhu N. ;

Hansda, Shekhar .

CHEMICAL PHYSICS LETTERS, 2015, 621 :102-108

[8] CRITICAL EXPONENTS FOR LONG-RANGE INTERACTIONS [J].

FISHER, ME ;

NICKEL, BG ;

MA, S .

PHYSICAL REVIEW LETTERS, 1972, 29 (04) :917-&

[9] Pressure-induced colossal magnetocaloric effect in MnAs [J].

Gama, S ;

Coelho, AA ;

de Campos, A ;

Carvalho, AMG ;

Gandra, FCG ;

von Ranke, PJ ;

de Oliveira, NA .

PHYSICAL REVIEW LETTERS, 2004, 93 (23)

[10] Test of renormalization predictions for universal finite-size scaling functions [J].

Luijten, E .

PHYSICAL REVIEW E, 1999, 60 (06) :7558-7561

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