Critical properties of the three-dimensional frustrated Heisenberg model on a layered-triangular lattice with variable interplane exchange interaction

被引:22
|
作者
Murtazaev, Akay K. [1 ]
Ramazanov, Magomedsheykh K.
机构
[1] Russian Acad Sci, Daghestan Sci Ctr, Inst Phys, Makhachkala 367003, Russia
[2] Daghestan State Univ, Makhachkala 367025, Russia
来源
PHYSICAL REVIEW B | 2007年 / 76卷 / 17期
关键词
D O I
10.1103/PhysRevB.76.174421
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The critical properties of three-dimensional (3D) frustrated Heisenberg model on a layered-triangular lattice with variable interplane exchange interaction are investigated by the replica Monte Carlo method. The static magnetic and chiral critical exponents of heat capacity alpha=0.26(3), susceptibility gamma=1.23(4), gamma(k)=0.87(5), magnetization beta=0.26(1), beta(k)=0.43(2), and correlation length nu=0.59(2), nu(k)=0.59(2), as well as the Fisher exponent eta=-0.09(3), are calculated by means of the finite-size scaling theory. Another universality class of the critical behavior is shown to be formed by the 3D frustrated Heisenberg model on a layered-triangular lattice. The universality class of the critical behavior of this model is revealed to remain within the limits of values of interplane J(') and intraplane J exchange interaction R=parallel to J(')/J parallel to=0.075-1.0.
引用
收藏
页数:6
相关论文
共 50 条
  • [41] Self-averaging in the three-dimensional site diluted Heisenberg model at the critical point
    Gordillo-Guerrero, A.
    Ruiz-Lorenzo, J. J.
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2007,
  • [42] Short-time critical and coarsening dynamics of the classical three-dimensional Heisenberg model
    Fernandes, H. A.
    da Silva, Roberto
    de Felicio, J. R. Drugowich
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2006,
  • [43] Three-dimensional Heisenberg model with Dzyaloshinskii-Moriya interaction: A Monte Carlo study
    Silva, G. Albuquerque
    Bergeron, A. R.
    Plascak, J. A.
    Landau, D. P.
    PHYSICAL REVIEW E, 2024, 109 (06)
  • [44] The three-dimensional ± J Ising model with uniform biquadratic exchange interaction
    Miyoshi, Y
    Iwashita, T
    Idogaki, T
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2001, 226 : 608 - 609
  • [45] Critical properties of a three-dimensional p-spin model
    S. Franz
    G. Parisi
    The European Physical Journal B - Condensed Matter and Complex Systems, 1999, 8 : 417 - 422
  • [46] Critical properties of a three-dimensional p-spin model
    Franz, S
    Parisi, G
    EUROPEAN PHYSICAL JOURNAL B, 1999, 8 (03): : 417 - 422
  • [47] Critical properties of the three-dimensional Ising model with quenched disorder
    Murtazaev, Akai Kurbanovich
    Babaev, Albert Babaevich
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2009, 321 (17) : 2630 - 2635
  • [48] Critical properties of a three-dimensional p-spin model
    Abdus Salam Intl. Ctr. Theor. Phys., Strada Costiera 11, 34100 Trieste, Italy
    不详
    Eur Phys J B, 3 (417-422):
  • [49] Effect of elastic interaction on critical behavior of three-dimensional Ising model
    Boubcheur, EH
    Diep, HT
    JOURNAL OF APPLIED PHYSICS, 1999, 85 (08) : 6085 - 6087
  • [50] Effect of anisotropy on the field-induced quantum critical properties of the three-dimensional s=1/2 Heisenberg model
    Rezania, H.
    Langari, A.
    PHYSICAL REVIEW B, 2010, 82 (17)