Comparison between the nearest and the next-nearest neighbor site-spin interactions in the Ising model

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	Comparison between the nearest and the next-nearest neighbor site-spin interactions in the Ising model
	Teng, BH ; Chen, YF ; Fu, H ; Tang, YB ; Tu, ML ; Chen, YG ; Tang, JK
刊名	SOLID STATE COMMUNICATIONS
	2002
卷号	124 期号:9 页码:347
关键词	RENORMALIZATION-GROUP SYSTEMS
ISSN号	0038-1098
通讯作者	Teng, BH: Sichuan Univ, Dept Appl Phys, Chengdu 610065, Peoples R China.
中文摘要	A comparison between the nearest and the next-nearest neighbor site-spin interactions in the Ising model of various dimensions is presented. First, by the aid of the Green's function method the exact algebraic equations of the site-spin for the 1d Ising chain, the 2d square and the 3d simple cubic Ising lattices, are established, respectively. Then, according to the recursion principle with respect to these equations of the site-spins the expressions of the nearest and the next-nearest neighbor site-spin interactions of variously dimensional Ising models are obtained. The comparison between the nearest and the next-nearest neighbor site-spin interactions displays that on nearing the transition temperature K, the distinction between these two kinds of interactions is obviously increasing. It shows that the short range ordering plays an important role in the critical behavior of the Ising system. In addition, the abnormal and non-monotonic dependencies of these two near-neighbor correlative interactions upon the magnetization are revealed in the 3d situation. (C) 2002 Elsevier Science Ltd. All rights reserved.
收录类别	SCI
语种	英语
公开日期	2013-09-17
内容类型	期刊论文
源URL	[http://ir.iphy.ac.cn/handle/311004/34950]
专题	物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文
推荐引用方式 GB/T 7714	Teng, BH,Chen, YF,Fu, H,et al. Comparison between the nearest and the next-nearest neighbor site-spin interactions in the Ising model[J]. SOLID STATE COMMUNICATIONS,2002,124(9):347.
APA	Teng, BH.,Chen, YF.,Fu, H.,Tang, YB.,Tu, ML.,...&Tang, JK.(2002).Comparison between the nearest and the next-nearest neighbor site-spin interactions in the Ising model.SOLID STATE COMMUNICATIONS,124(9),347.
MLA	Teng, BH,et al."Comparison between the nearest and the next-nearest neighbor site-spin interactions in the Ising model".SOLID STATE COMMUNICATIONS 124.9(2002):347.