Rigorous results for the quantum phase transitions in a dimerized S=1 ising lattice

被引:1
|
作者
Wu, Haina [1 ,2 ]
Yang, Zhihua [1 ]
Dai, Janhu [1 ]
Ying, Heping [1 ]
机构
[1] Zhejiang Univ, Inst Modern Phys, Hangzhou 310027, Peoples R China
[2] Northeastern Univ, Coll Sci, Shenyang 110006, Peoples R China
关键词
statistical lattice model; dimerization; quantum phase transitions;
D O I
10.1142/S0217732307023328
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We examine the ground state properties of a dimerized ferromagnetic S=1 Ising chain with single-ion crystal fields by mapping the model onto the dimerized S=1/2 Ising chain with transverse fields. We show that the system exhibits a series of Ising transitions depending on the dimerization strength of the crystal fields, while the critical points can be determined exactly.
引用
收藏
页码:727 / 731
页数:5
相关论文
共 50 条
  • [1] MAGNETIC QUANTUM PHASE TRANSITIONS IN DIMERIZED ANTIFERROMAGNETS
    Kalita, V. M.
    Loktev, V. M.
    UKRAINIAN JOURNAL OF PHYSICS, 2009, 54 (1-2): : 150 - 156
  • [2] Theory of quantum phase transitions in dimerized antiferromagnets
    Kalita, V. M.
    Loktev, V. M.
    LOW TEMPERATURE PHYSICS, 2010, 36 (8-9) : 665 - 670
  • [3] Rigorous studies on boundary effects of a dimerized S=1 Ising chain with single-ion anisotropy
    Wu, Haina
    Gong, Wei-Jiang
    Wang, Yan
    Yi, Guangyu
    Wei, Guozhu
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2013, 341 : 1 - 5
  • [4] Dimerized phase and transitions in a spatially anisotropic square lattice antiferromagnet
    Starykh, OA
    Balents, L
    PHYSICAL REVIEW LETTERS, 2004, 93 (12) : 127202 - 1
  • [5] Properties of 1D Classical and Quantum Ising Models: Rigorous Results
    Yessen, William N.
    ANNALES HENRI POINCARE, 2014, 15 (04): : 793 - 828
  • [6] Properties of 1D Classical and Quantum Ising Models: Rigorous Results
    William N. Yessen
    Annales Henri Poincaré, 2014, 15 : 793 - 828
  • [7] PHASE-TRANSITIONS IN AN ISING LATTICE WITH SUPEREXCHANGE
    KOSEVICH, AM
    SHKLOVSK.VA
    ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI, 1972, 62 (04): : 1585 - +
  • [8] Exact results of a dimerized S=1 Ising chain with single-ion anisotropy
    Wu, Haina
    Wei, Guozhu
    Han, Yu
    Yi, Guangyu
    Gong, Weijiang
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2009, 321 (19) : 3104 - 3109
  • [9] EXPANSIONS AND PHASE-TRANSITIONS FOR THE GROUND-STATE OF QUANTUM ISING LATTICE SYSTEMS
    KIRKWOOD, JR
    THOMAS, LE
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 88 (04) : 569 - 580
  • [10] Quantum Phase Transitions and Dimerized Phases in Frustrated Spin Ladder
    文瑞
    刘光华
    田光善
    CommunicationsinTheoreticalPhysics, 2011, 55 (06) : 1102 - 1108