二重Cayley树上自旋为1/2和3/2的混合自旋模型的亚铁磁性质  

Ferrimagnetic Character of the Mixed Spin-1/2 and Spin-3/2 Ising System on the Two-Fold Cayley Tree

作　　者：张鑫[1] 

机构地区：[1]滨州学院

出　　处：《廊坊师范学院学报（自然科学版）》2008年第5期23-25,共3页Journal of Langfang Normal University(Natural Science Edition)

基　　金：滨州学院"青年人才创新工程"科研基金项目(BZXYQNLG200620)

摘　　要：利用迭代方法,在亚铁磁情况下,研究了晶体场作用下二重Cayley树上自旋为1/2和3/2的混合Ising模型的热力学和临界现象。通过数值求解,得出了亚晶格磁化强度MA,MB和系统总磁化强度M随温度变化的曲线,并和铁磁情况所得结果进行比较。研究发现,子晶格B上的磁化强度MB随温度变化的趋势与铁磁情况下一致,而对于子晶格A来讲,磁化强度|MA|随温度变化的趋势与铁磁情况下一致,同时得出总磁化强度M的变化趋势与亚晶格磁化强度MA的变化一致,而且配位数对MB的随温度变化的曲线产生影响。结果发现,亚铁磁情况下该系统不存在三临界行为。Using the recursion method, the phase transition and the thermodynamic behavior of the mixed spin - 1/2 and spin- 3/2 Ising system on the two-fold Cayley tree are studied for the ferrimagnetie case. For the ferrimagnetic case, the relations of sublattiee magnetizations MA , MB and the total magnetization M with the temperature are obtained,respectively, It is found that the behavior of M is similar to that of MA. The behavior of MB is agree with that of the ferromagnetic case, but the behavior of ｜ MA｜ t is consistent with the behavior of MA in the ferromagnetic case. There is no trieritical behavior for the ferrimagnetie system.

关 键 词：磁化强度 混合Ising自旋系统 CAYLEY树 迭代方法 统计物理 

分 类 号：O482.51[理学—固体物理]