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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.
Coarse-graining renormalization by higher-order singular value decomposition
发表期刊PHYSICAL REVIEW B
语种英语
关键词3d Ising-model Temperature Series Expansions Classical-models Approximation Heat Formulation Transition Lattices Systems
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.
2012
ISSN1098-0121
卷号86期号:4页码:45139
学科领域Physics
收录类别SCI
项目资助者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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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/15058
专题理论物理所科研产出_SCI论文
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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