| 一种等级晶格上S4模型的临界性质 |
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| 引用本文： | 尹训昌,史守华,余春日. 一种等级晶格上S4模型的临界性质[J]. 吉林大学学报(理学版), 2009, 47(1): 86-91 |
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| 作者姓名： | 尹训昌 史守华 余春日 |
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| 作者单位： | 安庆师范学院,物理与电气工程学院,安徽,安庆,246133;安徽大学,物理与材料科学学院,合肥,230039 |
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| 基金项目： | 国家自然科学基金,安徽省青年教师科研项目 |
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| 摘 要： | 应用实空间重整化群和累积展开的方法, 研究外场中一种等级晶格上S4模型的相变和临界性质, 求出系统的临界点和临界指数. 结果表明, 该系统存在一个Gauss不动点和一个Wilson-Fisher不动点, 与特殊钻石型等级晶格上的S4模型相比, 系统的临界点和临界指数均发生变化, 表明二者属于不同的普适类.
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| 关 键 词： | 等级晶格 S4模型 重整化群 临界性质 |
| 收稿时间： | 2008-01-18 |
Critical Properties of the S~4 Model on a Type of Hierarchical Lattice |
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| YIN Xun-chang,SHI Shou-hua,YU Chun-ri. Critical Properties of the S~4 Model on a Type of Hierarchical Lattice[J]. Journal of Jilin University: Sci Ed, 2009, 47(1): 86-91 |
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| Authors: | YIN Xun-chang SHI Shou-hua YU Chun-ri |
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| Affiliation: | 1. School of Physics and Electric Engineering, Anqing Teachers College, Anqing 246133, Anhui Province, China; 2. School of Physics and Material Science, Anhui University, Hefei 230039, China |
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| Abstract: | Using the renormalization-group transformation method together with the cumulative expansion technique,the phase transition and critical properties of the S4 model on a type of hierarchical lattice were studied,and its fixed points and critical exponents were obtained.The results show that there exists a Wilson-Fisher fixed point besides the Gaussian fixed point,compared with those of the S4 model on the special diamond-type of hierarchical lattices,the critical points and critical exponents have changed.It... |
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| Keywords: | hierarchical lattice S4 model renormalization-group critical properties |
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