ITP OpenIR  > SCI期刊论文
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
Source PublicationPHYSICAL REVIEW B
Language英语
Keyword3d Ising-model Temperature Series Expansions Classical-models Approximation Heat Formulation Transition Lattices Systems
AbstractWe 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
Volume86Issue:4Pages:45139
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational 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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Cited Times:158[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15058
CollectionSCI期刊论文
Corresponding AuthorXie, ZY (reprint author), Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
Recommended Citation
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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