中国物理B ›› 2009, Vol. 18 ›› Issue (5): 2048-2053.doi: 10.1088/1674-1056/18/5/053

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Monte Carlo study of the antiferromagnetical Ising model on a centred honeycomb lattice

陈莉1, 王宙斐2   

  1. (1)College of Physics, Northeast Normal University, Changchun 130024, China; (2)College of Science, South China Agriculture University, Guangzhou 510642, China
  • 收稿日期:2008-09-13 修回日期:2009-02-05 出版日期:2009-05-20 发布日期:2009-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10571091) and the National Science and Technology Supporting Program of China (Grant No 2006BAD11A07).

Monte Carlo study of the antiferromagnetical Ising model on a centred honeycomb lattice

Wang Zhou-Fei(王宙斐)a)† and Chen Li(陈莉)b)   

  1. a College of Science, South China Agriculture University, Guangzhou 510642, China; b College of Physics, Northeast Normal University, Changchun 130024, China
  • Received:2008-09-13 Revised:2009-02-05 Online:2009-05-20 Published:2009-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10571091) and the National Science and Technology Supporting Program of China (Grant No 2006BAD11A07).

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摘要： We use the Monte Carlo method to study an antiferromagnetical Ising spin system on a centred honeycomb lattice, which is composed of two kinds of 1/2 spin particles A and B. There exist two different bond energies JA-A and JA-B in this lattice. Our study is focused on how the ratio of JA-B to JA-A influences the critical behaviour of this system by analysing the physical quantities, such as the energy, the order parameter, the specific heat, susceptibility, {etc} each as a function of temperature for a given ratio of JA-B to JA-A. Using these results together with the finite-size scaling method, we obtain a phase diagram for the ratio JA-B / JA-A. This work is helpful for studying the phase transition problem of crystals composed of compounds.

关键词: centred honeycomb lattice, antiferromagnetical Ising model, phase transition, Monte Carlo method

Abstract: We use the Monte Carlo method to study an antiferromagnetical Ising spin system on a centred honeycomb lattice, which is composed of two kinds of 1/2 spin particles A and B. There exist two different bond energies $J_{\rm A -  A}$ and $J_{\rm A - B}$ in this lattice. Our study is focused on how the ratio of $J_{\rm A - B}$ to $J_{\rm A - A }$ influences the critical behaviour of this system by analysing the physical quantities, such as the energy,  the order parameter, the specific heat, susceptibility, {etc} each as a function of temperature for a given ratio of $J_{\rm A - B}$ to $J_{\rm A - A}$. Using these results together with the finite-size scaling method, we  obtain a phase diagram for the ratio $J_{\rm A - B}$ / $J_{\rm A - A}$. This work is helpful for studying the phase transition problem of crystals composed of compounds.

Key words: centred honeycomb lattice, antiferromagnetical Ising model, phase transition, Monte Carlo method

中图分类号:  (Classical spin models)

  • 75.10.Hk
75.40.Cx (Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.)) 75.30.Kz (Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.))