| SIERPINSKI GASKET晶格上具有次近邻相互作用高斯模型的临界行为 |
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| 引用本文： | 孔祥木,尹慧.SIERPINSKI GASKET晶格上具有次近邻相互作用高斯模型的临界行为[J].低温物理学报,2000,22(3):218-222. |
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| 作者姓名： | 孔祥木 尹慧 |
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| 作者单位： | 曲阜师范大学物理系,山东省曲阜市,273165 |
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| 基金项目： | The work was supported by the Shandong Natural Science Foundation (Grant No: Q99A04, Y97A11016) and the Foundation of Qufu Normal University. |
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| 摘 要： | 利用等效变换和重正化群变换的方法，在Sierpinskigasket晶格上研究了具有近邻和次近邻相互作用Gaussian模型的临界性质，求出了临界温度和关联长度临界指数．结果表明：在相变点近邻相互作用K1和次近邻相互作用K2之间满足一定的关系，这种关系对铁磁体和反铁磁体都适用．并且考虑次近邻相互作用后，临界温度和临界指数都不发生改变．
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| 关 键 词： | 次近邻相互作用 临界行为 高斯模型 铁磁体 |
| 修稿时间： | 1999-11-28 |
CRITICAL BEHAVIOR OF THE GAUSSIAN MODEL WITH NEXT-NEAREST NEIGHBOR INTERACTIONS ON A SIERPINSKI GASKET LATTICE |
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| Kong Xiang-mu,Yin Hui.CRITICAL BEHAVIOR OF THE GAUSSIAN MODEL WITH NEXT-NEAREST NEIGHBOR INTERACTIONS ON A SIERPINSKI GASKET LATTICE[J].Chinese Journal of Low Temperature Physics,2000,22(3):218-222. |
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| Authors: | Kong Xiang-mu Yin Hui |
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| Institution: | Kong Xiang-mu
,Yin Hui
(Department of Paysics, Quifu Normal University, Qufu Shandong 273165) |
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| Abstract: | Using the equivalent transformation and renormalization group method, the Gaussian model with nearest neighbour (n. n.) interactions and next-nearest neighbour (n. n. n.) interactions in generators is studied on a Sierpinski gasket lattice. It is found that the critical temperature Tc and the correlation critical exponent υare not changed by the n.n.n. interactions and the phase transition occurs only when the n.n. interaction K1 and the n.n.n. interaction K2 satisfies a certain relation, which is valid no matter whether K1 and K2 are ferromagnetic or antiferromagnetic. |
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