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镶嵌正方晶格上具有次近邻耦合作用Ising模型的临界性质
引用本文:孙春峰,曾庆栋.镶嵌正方晶格上具有次近邻耦合作用Ising模型的临界性质[J].低温物理学报,2012(1):50-53.
作者姓名:孙春峰  曾庆栋
作者单位:孝感学院物理系
基金项目:湖北省教育厅科学技术研究重点项目(批准号:D200726001)资助的课题~~
摘    要:采用部分格点自旋消约变换,将镶嵌正方晶格上具有最近邻耦合作用K1和次近邻耦合作用K2的Ising模型变换成等效的具有最近邻、次近邻和四体耦合作用的正方Ising晶格.发现系统的临界点在(K1C,K2C)=(0.5125,0.2134),由此决定系统的临界温度,幷讨论了系统的普适性.

关 键 词:镶嵌正方晶格  Ising模型  临界点  普适性

CRITICAL PROPERTY TO THE ISING MODEL WITH NEXT-NEAREST-NEIGHBOR INTERACTIONS ON A DECORATED SQUARE LATTICE
N Chun-feng,eng Qing-dong.CRITICAL PROPERTY TO THE ISING MODEL WITH NEXT-NEAREST-NEIGHBOR INTERACTIONS ON A DECORATED SQUARE LATTICE[J].Chinese Journal of Low Temperature Physics,2012(1):50-53.
Authors:N Chun-feng  eng Qing-dong
Institution:Department of Physics,Xiaogan University,Hubei Xiaogan 432000
Abstract:Using the decimation technique,a square decorated Ising lattice with two kinds of interactionsK1andK2was transformed into a regular square Ising lattice with nearest-neighbor,next-nearest-neighbor,and four-spin interactions.The critical fixed point was found at K1C=0.5125,and K2C=0.2134,which determines the critical temperature of the system.The universality was discussed in this system.
Keywords:decorated square lattice  Ising model  critical point  universality
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