ITP OpenIR  > 2012年知识产出
Coarse-graining renormalization by higher-order singular value decomposition
Xie, ZY; Chen, J; Qin, MP; Zhu, JW; Yang, LP; Xiang, T; Xie, ZY (reprint author), Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
2012
发表期刊PHYSICAL REVIEW B
ISSN1098-0121
卷号86期号:4页码:45139
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.
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
关键词3d Ising-model Temperature Series Expansions Classical-models Approximation Heat Formulation Transition Lattices Systems
学科领域Physics
资助者National Natural Science Foundation of China [10934008, 10874215]; MOST 973 Project [2011CB309703] ; National Natural Science Foundation of China [10934008, 10874215]; MOST 973 Project [2011CB309703] ; National Natural Science Foundation of China [10934008, 10874215]; MOST 973 Project [2011CB309703] ; National Natural Science Foundation of China [10934008, 10874215]; MOST 973 Project [2011CB309703]
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收录类别SCI
语种英语
资助者National Natural Science Foundation of China [10934008, 10874215]; MOST 973 Project [2011CB309703] ; National Natural Science Foundation of China [10934008, 10874215]; MOST 973 Project [2011CB309703] ; National Natural Science Foundation of China [10934008, 10874215]; MOST 973 Project [2011CB309703] ; National Natural Science Foundation of China [10934008, 10874215]; MOST 973 Project [2011CB309703]
WOS记录号WOS:000306927900011
引用统计
被引频次:99[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/15058
专题2012年知识产出
通讯作者Xie, ZY (reprint author), Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
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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):45139.
APA Xie, ZY.,Chen, J.,Qin, MP.,Zhu, JW.,Yang, LP.,...&Xie, ZY .(2012).Coarse-graining renormalization by higher-order singular value decomposition.PHYSICAL REVIEW B,86(4),45139.
MLA Xie, ZY,et al."Coarse-graining renormalization by higher-order singular value decomposition".PHYSICAL REVIEW B 86.4(2012):45139.
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