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)
aCollege of Science, South China Agriculture University, Guangzhou 510642, China; bCollege of Physics, Northeast Normal University, Changchun 130024, China
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.
Received: 13 September 2008
Revised: 05 February 2009
Accepted manuscript online:
(Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.))
Fund: 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).
Cite this article:
Wang Zhou-Fei(王宙斐) and Chen Li(陈莉) Monte Carlo study of the antiferromagnetical Ising model on a centred honeycomb lattice 2009 Chin. Phys. B 18 2048
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