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Accurate determination of tensor network state of quantum lattice models in two dimensions
Jiang, H. C.; Weng, Z. Y.; Xiang, T.; Jiang, HC , Tsinghua Univ, Ctr Adv Study, Beijing 100084, Peoples R China
2008
发表期刊PHYSICAL REVIEW LETTERS
ISSN0031-9007
卷号101期号:9页码:-
摘要We have proposed a novel numerical method to calculate accurately physical quantities of the ground state using the tensor network wave function in two dimensions. The tensor network wave function is determined by an iterative projection approach which uses the Trotter-Suzuki decomposition formula of quantum operators and the singular value decomposition of matrix. The norm of the wave function and the expectation value of a physical observable are evaluated by a coarse-grain tensor renormalization group approach. Our method allows a tensor network wave function with a high bond degree of freedom (such as D = 8) to be handled accurately and efficiently in the thermodynamic limit. For the Heisenberg model on a honeycomb lattice, our results for the ground state energy and the staggered magnetization agree well with those obtained by the quantum Monte Carlo and other approaches.
部门归属[Jiang, HC; Weng, ZY] Tsinghua Univ, Ctr Adv Study, Beijing 100084, Peoples R China; [Xiang, T] Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China; [Xiang, T] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China
关键词Density-matrix Renormalization Antiferromagnet Systems
学科领域Physics
资助者the NSF-China; the National Program for Basic Research of MOST, China ; the NSF-China; the National Program for Basic Research of MOST, China ; the NSF-China; the National Program for Basic Research of MOST, China ; the NSF-China; the National Program for Basic Research of MOST, China
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收录类别SCI
资助者the NSF-China; the National Program for Basic Research of MOST, China ; the NSF-China; the National Program for Basic Research of MOST, China ; the NSF-China; the National Program for Basic Research of MOST, China ; the NSF-China; the National Program for Basic Research of MOST, China
WOS记录号WOS:000259195800009
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被引频次:172[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/311006/5477
专题理论物理所1978-2010年知识产出
通讯作者Jiang, HC , Tsinghua Univ, Ctr Adv Study, Beijing 100084, Peoples R China
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GB/T 7714
Jiang, H. C.,Weng, Z. Y.,Xiang, T.,et al. Accurate determination of tensor network state of quantum lattice models in two dimensions[J]. PHYSICAL REVIEW LETTERS,2008,101(9):-.
APA Jiang, H. C.,Weng, Z. Y.,Xiang, T.,&Jiang, HC , Tsinghua Univ, Ctr Adv Study, Beijing 100084, Peoples R China.(2008).Accurate determination of tensor network state of quantum lattice models in two dimensions.PHYSICAL REVIEW LETTERS,101(9),-.
MLA Jiang, H. C.,et al."Accurate determination of tensor network state of quantum lattice models in two dimensions".PHYSICAL REVIEW LETTERS 101.9(2008):-.
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