Antiferromagnetic O(N) models in four dimensions

被引：2
|
作者：
Ballesteros, HG [1 ]
Carmona, JM
Fernandez, LA
Tarancon, A
机构：
[1] Univ Complutense Madrid, Fac CC Fis, Dept Fis Teor 1, Madrid 28040, Spain
[2] Univ Zaragoza, Dept Fis Teor, Zaragoza 50009, Spain
来源：
PHYSICS LETTERS B | 1998年 / 419卷 / 1-4期
关键词：
lattice; Monte Carlo; antiferromagnetic; phase transitions; O(N) models;
D O I：
10.1016/S0370-2693(97)01292-6
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We study the antiferromagnetic O(N) model in the F-4 lattice. Monte Carlo simulations are applied for investigating the behavior of the transition for N = 2,3. The numerical results show a first order nature but with a large correlation length. The N --> infinity limit is also considered with analytical methods. (C) 1998 Elsevier Science B.V.
引用
收藏
页码：303 / 310
页数：8
相关论文
共 50 条
  • [1] Critical O(N) models above four dimensions: Small-N solutions and stability
    Eichhorn, Astrid
    Janssen, Lukas
    Scherer, Michael M.
    PHYSICAL REVIEW D, 2016, 93 (12)
  • [2] Monte Carlo study of O(3) antiferromagnetic models in three dimensions
    Alonso, JL
    Tarancon, A
    Ballesteros, HG
    Fernandez, LA
    MartinMayor, V
    Sudupe, AM
    PHYSICAL REVIEW B, 1996, 53 (05): : 2537 - 2545
  • [3] Equivalence of the O(n) vector ferromagnetic and antiferromagnetic models
    de Sousa, JR
    PHYSICA A, 1998, 256 (3-4): : 383 - 389
  • [4] Equivalence of the O(n) vector ferromagnetic and antiferromagnetic models
    Universidade do Amazonas, Manaus, Brazil
    Physica A: Statistical Mechanics and its Applications, 1998, 256 (3-4): : 383 - 389
  • [5] Tricritical O(n) models in two dimensions
    Nienhuis, Bernard
    Guo, Wenan
    Blote, Henk W. J.
    PHYSICAL REVIEW E, 2008, 78 (06):
  • [6] Random field O(N) spinmodel near four dimensions
    Sakamoto, Yoshinori
    Mukaida, Hisamitsu
    Itoi, Chigak
    JOURNAL OF PHYSICS-CONDENSED MATTER, 2007, 19 (14)
  • [7] Triviality of Hierarchical O(N) Spin Model in Four Dimensions with Large N
    Hiroshi Watanabe
    Journal of Statistical Physics, 2004, 115 : 1669 - 1713
  • [8] Triviality of hierarchical O(N) spin model in four dimensions with large N
    Watanabe, H
    JOURNAL OF STATISTICAL PHYSICS, 2004, 115 (5-6) : 1669 - 1713
  • [9] Critical O(N) models in 6-ε dimensions
    Fei, Lin
    Giombi, Simone
    Klebanov, Igor R.
    PHYSICAL REVIEW D, 2014, 90 (02):
  • [10] Critical exponents of O(N) models in fractional dimensions
    Codello, Alessandro
    Defenu, Nicolo
    D'Odorico, Giulio
    PHYSICAL REVIEW D, 2015, 91 (10):
12345