| 三维钻石型等级晶格上量子Heisenberg系统的临界性质 |
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| 引用本文： | 邹维科,孔祥木,王春阳,高中扬.三维钻石型等级晶格上量子Heisenberg系统的临界性质[J].物理学报,2010,59(7):4874-4879. |
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| 作者姓名： | 邹维科 孔祥木 王春阳 高中扬 |
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| 作者单位： | 曲阜师范大学物理工程学院,曲阜,273165 |
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| 基金项目： | 国家自然科学基金(批准号:10775088)资助的课题. |
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| 摘 要： | 利用重整化群方法,研究了三维钻石型等级晶格上的各向异性量子Heisenberg模型,获得了系统的相图和临界性质. 结果表明:对于铁磁系统,在各向同性Heisenberg极限下,系统存在有限温度的相变,并计算了系统的序参量和临界指数; 对于反铁磁系统,在各向同性Heisenberg极限下,临界温度不等于零,在临界线上不存在重入行为.
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| 关 键 词： | 相图 Heisenberg模型 钻石型等级晶格 重整化群方法 |
| 收稿时间： | 5/2/2009 12:00:00 AM |
Critical behavior of the quantum Heisenberg model on three-dimensional diamond-type hierarchical lattice |
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| Zou Wei-Ke,Kong Xiang-Mu,Wang Chun-Yang,Gao Zhong-Yang.Critical behavior of the quantum Heisenberg model on three-dimensional diamond-type hierarchical lattice[J].Acta Physica Sinica,2010,59(7):4874-4879. |
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| Authors: | Zou Wei-Ke Kong Xiang-Mu Wang Chun-Yang Gao Zhong-Yang |
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| Institution: | College of Physics and Engineering, Qufu Normal University, Qufu 273165, China;College of Physics and Engineering, Qufu Normal University, Qufu 273165, China;College of Physics and Engineering, Qufu Normal University, Qufu 273165, China;College of Physics and Engineering, Qufu Normal University, Qufu 273165, China |
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| Abstract: | With a real-space renormalization-group method, the anisotropic quantum Heisenberg model on three-dimensional diamond-type hierarchical lattice is studied, and the phase diagram and critical properties are obtained. For the ferromagnetic system, it is shown that there is a finite-temperature phase transition for Δ=0 where Δ is the anisotropy parameter. The order parameter and critical exponents are also calculated. For the antiferromagnetic model, we find that the critical temperature is not equal to zero for Δ=0 and there is not reentrant behavior on the critical line. |
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| Keywords: | phase diagram Heisenberg model diamond-type hierarchical lattice renormalization-group method |
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