Exchange frustration effect due to anisotropies on the spin-1/2 J1 - J1′ - J2 model

被引:2
作者
Rufo, S. [1 ]
Ricardo de Sousa, J. [2 ,3 ]
Plascak, J. A. [4 ,5 ,6 ]
机构
[1] Ctr Brasileiro Pesquisas Fis, Rua Xavier Sigaud 150 Urca, BR-22290180 Rio De Janeiro, RJ, Brazil
[2] Univ Fed Amazonas, 3000 Japiim, BR-69077000 Manaus, Amazonas, Brazil
[3] Natl Inst Sci & Technol Complex Syst, Rua Xavier Sigaud 150, BR-22290180 Rio De Janeiro, RJ, Brazil
[4] Univ Fed Minas Gerais, Dept Fis, CP 702, BR-30123970 Belo Horizonte, MG, Brazil
[5] Univ Fed Paraiba, Dept Fis, Caixa Postal 5008, BR-58051900 Joao Pessoa, Paraiba, Brazil
[6] Univ Georgia, Dept Phys & Astron, Athens, GA 30602 USA
关键词
Magnetic frustrated systems; Anisotropic Heisenberg model; Variational method; Exchange frustration; J(1)-J(2) HEISENBERG-ANTIFERROMAGNET; VALENCE-BOND; EXACT-DIAGONALIZATION; GROUND-STATES; ORDER;
D O I
10.1016/j.physa.2018.12.015
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The ground state magnetic properties of the J(1) - J(1)' - J(2) spin-1/2 Heisenberg antiferro-magnetic model with exchange anisotropies is studied on the square lattice. Independent exchange anisotropies are included for first and second neighbors. The zero temperature phase diagram is obtained from a simple variational method based on a trial vector for the ground state. The data point out that these exchange anisotropies play an important role regarding not only the transitions between the ordered and the quantum disordered phases, but also the area of existence of the corresponding quantum disordered phase. This effect reveals the presence of an additional frustration, the so-called exchange frustration. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:349 / 362
页数:14
相关论文
共 50 条
  • [41] Phase diagram of spin-1/2 quantum Heisenberg J1-J2 antiferromagnet on the body-centered-cubic lattice in random phase approximation
    Pantic, Milan R.
    Kapor, Darko V.
    Radosevic, Slobodan M.
    Mali, Petar M.
    SOLID STATE COMMUNICATIONS, 2014, 182 : 55 - 58
  • [42] Metastable states in the J1-J2 Ising model
    Abalmasov, V. A.
    Vugmeister, B. E.
    PHYSICAL REVIEW E, 2023, 107 (03)
  • [43] Ground state phases of the spin-1/2 J1-J2 Heisenberg antiferromagnet on the square lattice: A high-order coupled cluster treatment
    Darradi, R.
    Derzhko, O.
    Zinke, R.
    Schulenburg, J.
    Krueger, S. E.
    Richter, J.
    PHYSICAL REVIEW B, 2008, 78 (21):
  • [44] Frustrated spin-1/2 J1-J2 Heisenberg ferromagnet on the square lattice studied via exact diagonalization and coupled-cluster method
    Richter, J.
    Darradi, R.
    Schulenburg, J.
    Farnell, D. J. J.
    Rosner, H.
    PHYSICAL REVIEW B, 2010, 81 (17):
  • [45] Frustrated Heisenberg antiferromagnet on the checkerboard lattice: J1-J2 model
    Bishop, R. F.
    Li, P. H. Y.
    Farnell, D. J. J.
    Richter, J.
    Campbell, C. E.
    PHYSICAL REVIEW B, 2012, 85 (20)
  • [46] Spin liquid nature in the Heisenberg J1-J2 triangular antiferromagnet
    Iqbal, Yasir
    Hu, Wen-Jun
    Thomale, Ronny
    Poilblanc, Didier
    Becca, Federico
    PHYSICAL REVIEW B, 2016, 93 (14)
  • [47] Variational quantum eigensolver ansatz for the J1-J2-model
    Feulner, Verena
    Hartmann, Michael J.
    PHYSICAL REVIEW B, 2022, 106 (14)
  • [48] Classical J1-J2 Heisenberg model on the kagome lattice
    Spenke, Martin
    Guertler, Siegfried
    PHYSICAL REVIEW B, 2012, 86 (05)
  • [49] Quantum phases of the planar antiferromagnetic J1-J2-J3 Heisenberg model
    Reuther, Johannes
    Woelfle, Peter
    Darradi, Rachid
    Brenig, Wolfram
    Arlego, Marcelo
    Richter, Johannes
    PHYSICAL REVIEW B, 2011, 83 (06)
  • [50] Plaquette order in the J1-J2-J3 model: Series expansion analysis
    Arlego, Marcelo
    Brenig, Wolfram
    PHYSICAL REVIEW B, 2008, 78 (22):