(d+1)维Heisenberg超薄膜的解析研究  

Study of variational-cumulant expansion of the quantum Heisenberg hyperfilm

作　　者：陈洪[1] 张菁[1] 杨兴华[1] 

机构地区：[1]西南师范大学物理系,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2000年第4期399-403,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：教育部重点科学技术项目!( 9910 8)

摘　　要：采用变分累积展开法研究了超立方格点上任意自旋的量子Heisenberg薄膜的临界点 .从自由能的解析性质出发 ,原则上能计算作为多层膜层数l函数的临界约化温度θ(n) (l)到任意累积展开级次n.给出了θ(n)(l)的前三级解析表达式和数值结果 ,并对结果作了分析和讨论 .The quantum Heisenberg hyperfilm is studied by the variational\|cumulant expansion method. From the analytic properties of free energy, the critical reduced temperature θ\-c(l) can in principle be calculated to any order cumulant expansion as a function of the number l of hyperlayers in hyperfilm. Explicit expressions for θ\-c(l) up to the third order are giren for various lattices and spins. The numberical results are given and discussed.

关 键 词：Heisenberg超薄膜 临界温度 解析性质 自由能 

分 类 号：O484.43[理学—固体物理] O414.2[理学—物理]