Coarse-graining renormalization by higher-order singular value decomposition

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	Coarse-graining renormalization by higher-order singular value decomposition
	Xie, ZY ; Chen, J ; Qin, MP ; Zhu, JW ; Yang, LP ; Xiang, T
刊名	PHYSICAL REVIEW B
	2012
卷号	86 期号:4
关键词	3D ISING-MODEL TEMPERATURE SERIES EXPANSIONS CLASSICAL-MODELS APPROXIMATION HEAT FORMULATION TRANSITION LATTICES SYSTEMS
ISSN号	1098-0121
通讯作者	Xie, ZY: Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
中文摘要	We propose a novel coarse-graining tensor renormalization group method based on the higher-order singular value decomposition. This method provides an accurate but low computational cost technique for studying both classical and quantum lattice models in two or three dimensions. We have demonstrated this method using the Ising model on the square and cubic lattices. By keeping up to 16 bond basis states, we obtain by far the most accurate numerical renormalization group results for the three-dimensional Ising model. We have also applied the method to study the ground state as well as finite temperature properties for the two-dimensional quantum transverse Ising model and obtain the results which are consistent with published data.
收录类别	SCI
资助信息	National Natural Science Foundation of China [10934008, 10874215]; MOST 973 Project [2011CB309703]
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/311004/34773]
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	Xie, ZY,Chen, J,Qin, MP,et al. Coarse-graining renormalization by higher-order singular value decomposition[J]. PHYSICAL REVIEW B,2012,86(4).
APA	Xie, ZY,Chen, J,Qin, MP,Zhu, JW,Yang, LP,&Xiang, T.(2012).Coarse-graining renormalization by higher-order singular value decomposition.PHYSICAL REVIEW B,86(4).
MLA	Xie, ZY,et al."Coarse-graining renormalization by higher-order singular value decomposition".PHYSICAL REVIEW B 86.4(2012).