Singular points of the isotropic Non-Heisenberg magnet

被引：0
作者：
Matyunina, Ya Yu [1 ]
Kosmachev, O. A. [1 ]
Fridman, Yu A. [1 ]
机构：
[1] VI Vernadsky Crimean Fed Univ, Simferopol 295007, Russia
来源：
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS | 2023年 / 588卷
基金：
俄罗斯科学基金会;
关键词：
isotropic non-Heisenberg magnet; Irreducible tensor operators; Unitary transformation; SU(3) and SU(4) groups;
D O I：
10.1016/j.jmmm.2023.171451
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The symmetry properties of an isotropic non-Heisenberg magnet with the values of the magnetic ion spin S =1 or S = 3/2 are studied in this work. It is shown that the systems are invariant under the transformation group SO(3) or SU(2). The conditions under which magnets with spin S = 1 or S = 3/2 are invariant with respect to the transformation groups SU(2S + 1) are determined. The study of the dynamic properties of the magnets under consideration has shown that at SU(2S + 1) points the systems become two-level, similarly to systems with magnetic ion spin S = 1/2.
引用
收藏
页数：5
相关论文
共 27 条
  • [1] Andreev A. F., 1984, Soviet Physics - JETP, V60, P267
  • [2] Classifying vortices in S=3 Bose-Einstein condensates
    Barnett, Ryan
    Turner, Ari
    Demler, Eugene
    [J]. PHYSICAL REVIEW A, 2007, 76 (01):
  • [3] Classifying novel phases of spinor atoms
    Barnett, Ryan
    Turner, Ari
    Demler, Eugene
    [J]. PHYSICAL REVIEW LETTERS, 2006, 97 (18)
  • [4] Biedenharn Lawrence C, 1984, Encyclopedia of Mathematics and its Applications
  • [5] FLUCTUATIONS IN SPIN NEMATICS
    CHUBUKOV, AV
    [J]. JOURNAL OF PHYSICS-CONDENSED MATTER, 1990, 2 (06) : 1593 - 1608
  • [6] Spin nematic and orthogonal nematic states in S=1 non-Heisenberg magnet
    Fridman, Yu. A.
    Kosmachev, O. A.
    Klevets, Ph. N.
    [J]. JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2013, 325 : 125 - 129
  • [7] Spin Nematic and Antinematic States in a Spin-3/2 Isotropic Non-Heisenberg Magnet
    Fridman, Yu A.
    Kosmachev, O. A.
    Kolezhuk, A. K.
    Ivanov, B. A.
    [J]. PHYSICAL REVIEW LETTERS, 2011, 106 (09)
  • [8] Spin-exchange interactions of spin-one bosons in optical lattices: Singlet, nematic, and dimerized phases
    Imambekov, A
    Lukin, M
    Demler, E
    [J]. PHYSICAL REVIEW A, 2003, 68 (06): : 24
  • [9] Soliton dynamics in a spin nematic
    Ivanov, B. A.
    Khymyn, R. S.
    [J]. JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2007, 104 (02) : 307 - 318
  • [10] Effective field theory for the S=1 quantum nematic -: art. no. 052401
    Ivanov, BA
    Kolezhuk, AK
    [J]. PHYSICAL REVIEW B, 2003, 68 (05):
123