摘要
对一维、二维晶格伊辛模型的讨论,许多文献提到过,但从实际材料来考虑,层状正方晶格临界性质的讨论(包括考虑一些因素对临界性质的影响)意义更大一些,利用实空间重正化群(Real space renormalization group,RSRG)方法,讨论了层状正方晶格点阵的临界指数,发现与单层晶格点阵的临界指数完全相同,但所得结果与严格解存在一定差距,进一步通过考虑能级和温度对重正化变换中集团概率的影响,对重正化变换加以修正,结果表明:所得临界指数更接近伊辛模型严格解.
ne or two-dimensional crystal lattice Ising model was mentioned in extensive documents,but considering the actual material,critical properties of tetragonal lattice of majority layer(including some factors influence on critical properties)have more importance.The critical indices of tetragonal lattice of majority layer were studied with RSRG method,then critical indices were found to coincide with those lattice of single layer,but a gap existed between the solution and the exact solution.Finally,the results were revised by considering energy and temperature influence on Kadanoff clusters probability,which shows new indices approach Ising model exact solution more than those of before revision.
出处
《中北大学学报(自然科学版)》
CAS
北大核心
2015年第3期285-288,共4页
Journal of North University of China(Natural Science Edition)
基金
理论物理专项基金资助项目(11247278)
中北大学科学基金资助项目
关键词
层状晶格
重正化群变换
权重因子
临界指数
majority layer lattice
renormalization counter change
weight factor
critical indicess