Phase transitions and critical properties in the antiferromagnetic Heisenberg model on a layered cubic lattice

被引：25

作者：

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

Murtazaev, A. K. ^{[1
,2
]}

机构：

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

[2] Dagestan State Univ, Makhachkala 367025, Russia

来源：

JETP LETTERS | 2017年 / 106卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

ISING-MODEL; MONTE-CARLO; SQUARE LATTICE;

D O I：

10.1134/S0021364017140107

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Phase transitions and critical properties in the antiferromagnetic Heisenberg model on a layered cubic lattice with allowance for intralayer next nearest neighbor interactions have been studied using the replica Monte Carlo algorithm. The character of phase transitions has been analyzed using the histogram method and the Binder cumulant method. It has been found that a transition from the collinear to paramagnetic phase in the model under study occurs as a second order phase transition. The statistical critical exponents of the specific heat alpha, susceptibility gamma, order parameter beta, and correlation radius nu, as well as the Fisher index eta, have been calculated using the finite-size scaling theory. It has been shown that the three-dimensional Heisenberg model on the layered cubic lattice with allowance for the next nearest neighbor interaction belongs to the same universality class of the critical behavior as the antiferromagnetic Heisenberg model on a layered triangular lattice.

引用

页码：86 / 91

页数：6

共 35 条

[21] Critical properties of an antiferromagnetic Ising model on a square lattice with interactions of the next-to-nearest neighbors [J].

Murtazaev, A. K. ;

Ramazanov, M. K. ;

Badiev, M. K. .

LOW TEMPERATURE PHYSICS, 2011, 37 (12) :1001-1005

[22] Study of critical properties of the frustrated antiferromagnetic Heisenberg model on a triangular lattice [J].

Murtazaev, A. K. ;

Ramazanov, M. K. .

PHYSICS OF THE SOLID STATE, 2011, 53 (05) :1067-1072

[23] Monte Carlo investigation of phase transitions in the frustrated Heisenberg model on a triangular lattice [J].

Murtazaev, A. K. ;

Ramazanov, M. K. ;

Badiev, M. K. .

PHYSICS OF THE SOLID STATE, 2010, 52 (08) :1673-1679

[24] Monte Carlo investigation of the critical properties of a three-dimensional frustrated Heisenberg model on a triangular lattice [J].

Murtazaev, A. K. ;

Ramazanov, M. K. ;

Badiev, M. K. .

LOW TEMPERATURE PHYSICS, 2009, 35 (07) :521-525

[25] HIGH-ACCURACY MONTE-CARLO STUDY OF THE 3-DIMENSIONAL CLASSICAL HEISENBERG-FERROMAGNET [J].

PECZAK, P ;

FERRENBERG, AM ;

LANDAU, DP .

PHYSICAL REVIEW B, 1991, 43 (07) :6087-6093

[26] Phase transition and phase diagram of the J1-J2 Heisenberg model on a simple cubic lattice [J].

Pinettes, C ;

Diep, HT .

JOURNAL OF APPLIED PHYSICS, 1998, 83 (11) :6317-6319

[27] Phase transitions in the antiferromagnetic layered Ising model on a cubic lattice [J].

Ramazanov, M. K. ;

Murtazaev, A. K. .

JETP LETTERS, 2016, 103 (07) :460-464

[28] Thermodynamic, critical properties and phase transitions of the Ising model on a square lattice with competing interactions [J].

Ramazanov, M. K. ;

Murtazaev, A. K. ;

Magomedov, M. A. .

SOLID STATE COMMUNICATIONS, 2016, 233 :35-40

[29] Phase transitions and critical characteristics in the layered antiferromagnetic Ising model with next-nearest-neighbor intralayer interactions [J].

Ramazanov, M. K. ;

Murtazaev, A. K. .

JETP LETTERS, 2015, 101 (10) :714-718

[30] Phase Transitions in the Antiferromagnetic Heisenberg Model on a Layered Triangular Lattice with the Next-Nearest Neighbor Interactions [J].

Ramazanov, M. K. .

JETP LETTERS, 2011, 94 (04) :311-314

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