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题名: Coarse-graining renormalization by higher-order singular value decomposition
作者: Xie, ZY ;  Chen, J ;  Qin, MP ;  Zhu, JW ;  Yang, LP ;  Xiang, T
刊名: PHYSICAL REVIEW B
出版日期: 2012
卷号: 86, 期号:4, 页码:45139
关键词: 3D ISING-MODEL ;  TEMPERATURE SERIES EXPANSIONS ;  CLASSICAL-MODELS ;  APPROXIMATION ;  HEAT ;  FORMULATION ;  TRANSITION ;  LATTICES ;  SYSTEMS
学科分类: Physics
通讯作者: Xie, ZY (reprint author), Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
部门归属: [Xie, Z. Y.; Xiang, T.] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China; [Chen, J.; Qin, M. P.; Xiang, T.] Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China; [Zhu, J. W.] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China; [Yang, L. P.] Beijing Computat Sci Res Ctr, Beijing 100084, Peoples R China
英文摘要: 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.
资助者: National Natural Science Foundation of China [10934008, 10874215]; MOST 973 Project [2011CB309703]
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000306927900011
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15058
Appears in Collections:理论物理所2012年知识产出_期刊论文

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Recommended Citation:
Xie, ZY,Chen, J,Qin, MP,et al. Coarse-graining renormalization by higher-order singular value decomposition[J]. PHYSICAL REVIEW B,2012,86(4):45139.
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