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特殊钻石型等级晶格上S~4模型的临界性质
Critical properties of the S~4 model on a special diamond-type hierarchical lattice
【摘要】 应用实空间重整化群和累积展开的方法,研究了外场中特殊钻石型等级晶格上S~4模型的相变和临界性质,求出了系统的临界点和临界指数.结果表明,此系统除了存在一个Gauss不动点外,还存在一个Wilson-Fisher不动点,与该等级晶格上的Gauss模型相比较,系统的临界指数发生了变化.
【Abstract】 Using the renormalization_group transformation and cumulative expansion technique,the phase transition and critical properties of the S4 model on a special diamond_type hierarchical lattice are studied,and its fixed points and critical exponents are obtained. The results show that there exists a Wilson_Fisher fixed point besides the Gaussian fixed point,and compared with the Gaussian model of the special diamond-type hierarchical lattices,the critical exponents have changed.
【关键词】 钻石型等级晶格;
S~4模型;
重整化群;
临界性质;
【Key words】 diamond-type hierarchical lattice; S~4 model; renormalization-group; critical property;
【Key words】 diamond-type hierarchical lattice; S~4 model; renormalization-group; critical property;
【基金】 曲阜师范大学科研基金资助的课题.~~
- 【文献出处】 物理学报 ,Acta Physica Sinica , 编辑部邮箱 ,2006年09期
- 【分类号】O731
- 【被引频次】12
- 【下载频次】61