Study of Phase Transitions in the Antiferromagnetic Heisenberg Model on a Body-Centered Cubic Lattice by Monte Carlo Simulation

被引：5

作者：

Murtazaev, A. K. ^{[1
]}

Kassan-Ogly, F. A. ^{[2
]}

Ramazanov, M. K. ^{[1
]}

Murtazaev, K. Sh ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Phys, Dagestan Sci Ctr, Makhachkala 367003, Russia

[2] Russian Acad Sci, Mikheev Inst Met Phys, Ural Branch, Ekaterinburg 620108, Russia

来源：

PHYSICS OF METALS AND METALLOGRAPHY | 2020年 / 121卷 / 04期

关键词：

Heisenberg model; Monte-Carlo method; frustrations; phase transitions; GROUND-STATE STRUCTURES; ISING-MODEL; SQUARE LATTICE; DIAGRAMS;

D O I：

10.1134/S0031918X20040109

中图分类号：

TF [冶金工业];

学科分类号：

0806 ;

摘要：

Phase transitions in the antiferromagnetic Heisenberg model on the body-centered cubic lattice were studied using the replica algorithm of the Monte Carlo method, taking into account the interactions between the first and second neighbors. The investigations were performed for the ratio of the value of the exchange interactions between the nearest and second neighbors in the range 0.0 <= r <= 1.0. The phase diagram of critical temperature versus the value of interaction between the second neighbors was constructed. The region in the diagram where the transition from antiferromagnetic to paramagnetic phase is of the first order was discovered for the first time in this study.

引用

页码：305 / 309

页数：5

共 28 条

[1] Monte Carlo study of O(3) antiferromagnetic models in three dimensions [J].

Alonso, JL ;

Tarancon, A ;

Ballesteros, HG ;

Fernandez, LA ;

MartinMayor, V ;

Sudupe, AM .

PHYSICAL REVIEW B, 1996, 53 (05) :2537-2545

[2]

[Anonymous], 1995, PHYS USP

[3]

[Anonymous], 1988, Monte Carlo Simulation in Statistical Phyics

[4] FINITE-SIZE EFFECTS AT CRITICAL-POINTS WITH ANISOTROPIC CORRELATIONS - PHENOMENOLOGICAL SCALING THEORY AND MONTE-CARLO SIMULATIONS [J].

BINDER, K ;

WANG, JS .

JOURNAL OF STATISTICAL PHYSICS, 1989, 55 (1-2) :87-126

[5]

BRAZOVSKY SA, 1976, SOV PHYS JETP, V43, P1178

[6] PHASE-DIAGRAM OF THE FRUSTRATED SPIN-1/2 HEISENBERG-ANTIFERROMAGNET IN 2 DIMENSIONS [J].

DAGOTTO, E ;

MOREO, A .

PHYSICAL REVIEW LETTERS, 1989, 63 (19) :2148-2151

[7] 1ST-ORDER PHASE-TRANSITION IN THE FCC HEISENBERG-ANTIFERROMAGNET [J].

DIEP, HT ;

KAWAMURA, H .

PHYSICAL REVIEW B, 1989, 40 (10) :7019-7022

[8] Strong fluctuations near the frustration point in cubic lattice ferromagnets with localized moments [J].

Ignatenko, A. N. ;

Katanin, A. A. ;

Irkhin, V. Yu. .

JETP LETTERS, 2013, 97 (04) :209-213

[9] Frustrated Heisenberg Antiferromagnets on Cubic Lattices: Magnetic Structures, Exchange Gaps, and Non-Conventional Critical Behaviour [J].

Ignatenko, Andrey N. ;

Irkhin, Valentin Yu. .

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2016, 9 (04) :454-458

[10] Ising model on a square lattice with second-neighbor and third-neighbor interactions [J].

Kassan-Ogly, F. A. ;

Murtazaev, A. K. ;

Zhuravlev, A. K. ;

Ramazanov, M. K. ;

Proshkin, A. I. .

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2015, 384 :247-254

← 1 2 3 →