中国物理B ›› 2014, Vol. 23 ›› Issue (3): 37502-037502.doi: 10.1088/1674-1056/23/3/037502

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇    下一篇

Thermodynamic properties of Heisenberg magnetic systems

秦伟, 王怀玉, 龙桂鲁   

  1. Department of Physics, Tsinghua University, Beijing 100084, China
  • 收稿日期:2013-11-10 修回日期:2013-12-05 出版日期:2014-03-15 发布日期:2014-03-15
  • 基金资助:
    Project supported by the National Basic Research Program of China (Grant No. 2012CB927402) and the National Natural Science Foundation of China (Grant Nos. 11074145 and 61275028).

Thermodynamic properties of Heisenberg magnetic systems

Qin Wei (秦伟), Wang Huai-Yu (王怀玉), Long Gui-Lu (龙桂鲁)   

  1. Department of Physics, Tsinghua University, Beijing 100084, China
  • Received:2013-11-10 Revised:2013-12-05 Online:2014-03-15 Published:2014-03-15
  • Contact: Wang Huai-Yu E-mail:wanghuaiyu@mail.tsinghua.edu.cn
  • Supported by:
    Project supported by the National Basic Research Program of China (Grant No. 2012CB927402) and the National Natural Science Foundation of China (Grant Nos. 11074145 and 61275028).

摘要: In this paper, we present a comprehensive investigation of the effects of the transverse correlation function (TCF) on the thermodynamic properties of Heisenberg antiferromagnetic (AFM) and ferromagnetic (FM) systems with cubic lattices. The TCF of an FM system is positive and increases with temperature, while that of an AFM system is negative and decreases with temperature. The TCF lowers internal energy, entropy and specific heat. It always raises the free energy of an FM system but raises that of an AFM system only above a specific temperature when the spin quantum number is S≥1. Comparisons between the effects of the TCFs on the FM and AFM systems are made where possible.

关键词: Heisenberg magnetic system, thermodynamic property, transverse correlation function, Green’, s function method

Abstract: In this paper, we present a comprehensive investigation of the effects of the transverse correlation function (TCF) on the thermodynamic properties of Heisenberg antiferromagnetic (AFM) and ferromagnetic (FM) systems with cubic lattices. The TCF of an FM system is positive and increases with temperature, while that of an AFM system is negative and decreases with temperature. The TCF lowers internal energy, entropy and specific heat. It always raises the free energy of an FM system but raises that of an AFM system only above a specific temperature when the spin quantum number is S≥1. Comparisons between the effects of the TCFs on the FM and AFM systems are made where possible.

Key words: Heisenberg magnetic system, thermodynamic property, transverse correlation function, Green’, s function method

中图分类号:  (Quantized spin models, including quantum spin frustration)

  • 75.10.Jm
75.40.Cx (Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.)) 75.40.Mg (Numerical simulation studies) 76.50.+g (Ferromagnetic, antiferromagnetic, and ferrimagnetic resonances; spin-wave resonance)