自旋S=1键稀释蜂窝格子伊辛模型的临界温度

本文提出一种新的缀饰方法将自旋 S=1淬灭键稀释伊辛模型在交换作用参数子空间:exP(K)cosk(J)=1映象到混合自旋淬灭座稀释缀饰格子系统。对此混合自旋缀饰格子系统应用退火模型近似求得了自旋 S=1淬灭键稀释蜂窝格子伊辛系统的临界温度与键浓度之间的解析关系。所得结果在弱稀释极限下与严格解一致。

The Critical Temperature of A Spin-one Bond Randomly Diluted Ising Model on A Honeycomb Lattice

A new decoration method is presented in this pelter which allows the quen- ched bond randomly diluted spin-1 Ising model on a regular lattice in the subspace,exp(K)cosh(J)=1 to be mapped onto a certain class of randomly diluted decoration lattice of mixed-spin quenched site.By using this mapping in conjunction with annealed model solution for the decorated lattice problem, approximate result for the critical temperature of the quenched bond randomly diluted spin-1 Ising model on the honeycomb lattice is obtained.The critical temperature versus bond concentration in the non-dilution limit is found to be reduced to the exact result.