| 钻石型分形晶格上BEG模型的临界行为 |
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| 引用本文： | 徐昌业,张蜒,张晓茹.钻石型分形晶格上BEG模型的临界行为[J].山东大学学报(工学版),2002,32(3):218-222. |
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| 作者姓名： | 徐昌业 张蜒 张晓茹 |
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| 作者单位： | 山东大学,物理与微电子学院,山东,济南,250061 |
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| 摘 要： | 应用实空间重整化群方法研究了分形结构 -钻石型分级晶格上BEG(Blume Emery Griffith)模型的相变和临界现象 ,得到了重整化变换的递推关系 ,确定了重整化变换的不动点 ,并且计算了临界点附近关联长度的临界指数 发现钻石型分级晶格上BEG模型的相变温度为无穷大 ,这表明系统永远处于有序态
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| 关 键 词： | 重整化变换 递推关系 不动点 鞍点 |
| 文章编号： | 1000-5323(2002)03-0218-05 |
| 修稿时间： | 2002年3月8日 |
Critical behavior for the BEG model on diamond-type hierarchical lattices |
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| XU Chang ye,ZHANG Tao,ZHANG Xiao ru.Critical behavior for the BEG model on diamond-type hierarchical lattices[J].Journal of Shandong University of Technology,2002,32(3):218-222. |
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| Authors: | XU Chang ye ZHANG Tao ZHANG Xiao ru |
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| Abstract: | With the method of renormalization group, the recursion relation of renormalization group transformation for BEG model on diamond type hierarchical lattices is obtained and the fixed point of renormalization group transformation is found. The critical exponent of the correlation length are also caculated. It is shown that the temperature at which phase transition occurs for BEG is infinity on diamond type hierarchical lattices and system always exists as an ordered state. |
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| Keywords: | Renormalization group transformation Recursion relation Fixed point Saddle point |
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