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Renormalization of tensor-network states
Zhao, H. H.; Xie, Z. Y.; Chen, Q. N.; Wei, Z. C.; Cai, J. W.; Xiang, T.; Zhao, HH , Chinese Acad Sci, Inst Phys, POB 603, Beijing 100190, Peoples R China
2010
发表期刊PHYSICAL REVIEW B
ISSN1098-0121
卷号81期号:17页码:-
摘要We have discussed the tensor-network representation of classical statistical or interacting quantum lattice models, and given a comprehensive introduction to the numerical methods we recently proposed for studying the tensor-network states/models in two dimensions. A second renormalization scheme is introduced to take into account the environment contribution in the calculation of the partition function of classical tensornetwork models or the expectation values of quantum tensor-network states. It improves significantly the accuracy of the coarse-grained tensor renormalization-group method. In the study of the quantum tensornetwork states, we point out that the renormalization effect of the environment can be efficiently and accurately described by the bond vector. This, combined with the imaginary-time evolution of the wave function, provides an accurate projection method to determine the tensor-network wave function. It reduces significantly the truncation error and enables a tensor-network state with a large bond dimension, which is difficult to be accessed by other methods, to be accurately determined.
部门归属[Zhao, HH; Wei, ZC; Cai, JW; Xiang, T] Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China; [Xie, ZY; Chen, QN; Xiang, T] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China
关键词Density-matrix Renormalization Bond Ground-states Systems Antiferromagnets Formulation Honeycomb Lattice Chains Models
学科领域Physics
资助者NSF-China; MOST, China ; NSF-China; MOST, China ; NSF-China; MOST, China ; NSF-China; MOST, China
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收录类别SCI
资助者NSF-China; MOST, China ; NSF-China; MOST, China ; NSF-China; MOST, China ; NSF-China; MOST, China
WOS记录号WOS:000278141600069
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被引频次:92[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/311006/5112
专题理论物理所1978-2010年知识产出
通讯作者Zhao, HH , Chinese Acad Sci, Inst Phys, POB 603, Beijing 100190, Peoples R China
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GB/T 7714
Zhao, H. H.,Xie, Z. Y.,Chen, Q. N.,et al. Renormalization of tensor-network states[J]. PHYSICAL REVIEW B,2010,81(17):-.
APA Zhao, H. H..,Xie, Z. Y..,Chen, Q. N..,Wei, Z. C..,Cai, J. W..,...&Zhao, HH , Chinese Acad Sci, Inst Phys, POB 603, Beijing 100190, Peoples R China.(2010).Renormalization of tensor-network states.PHYSICAL REVIEW B,81(17),-.
MLA Zhao, H. H.,et al."Renormalization of tensor-network states".PHYSICAL REVIEW B 81.17(2010):-.
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