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题名: Efficient simulation of infinite tree tensor network states on the Bethe lattice
作者: Li, W ;  von Delft, J ;  Xiang, T
刊名: PHYSICAL REVIEW B
出版日期: 2012
卷号: 86, 期号:19, 页码:195137
关键词: MATRIX RENORMALIZATION-GROUP ;  CAYLEY TREES ;  XXZ MODEL ;  ANTIFERROMAGNET
学科分类: Physics
通讯作者: Li, W (reprint author), Univ Munich, Arnold Sommerfeld Ctr Theoret Phys, Dept Phys, D-80333 Munich, Germany.
部门归属: [Li, Wei; von Delft, Jan] Univ Munich, Arnold Sommerfeld Ctr Theoret Phys, Dept Phys, D-80333 Munich, Germany; [Li, Wei; von Delft, Jan] Univ Munich, Ctr NanoSci, D-80333 Munich, Germany; [Xiang, Tao] Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China; [Xiang, Tao] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China
英文摘要: We show that the simple update approach proposed by Jiang et al. [H. C. Jiang, Z. Y. Weng, and T. Xiang, Phys. Rev. Lett. 101, 090603 (2008)] is an efficient and accurate method for determining the infinite tree tensor network states on the Bethe lattice. Ground-state properties of the quantum transverse Ising model and the Heisenberg XXZ model on the Bethe lattice are studied. The transverse Ising model is found to undergo a second-order quantum phase transition with a diverging magnetic susceptibility but a finite correlation length which is upper bounded by 1/ln(q - 1) even at the transition point (q is the coordinate number of the Bethe lattice). An intuitive explanation on this peculiar "critical" phenomenon is given. The XXZ model on the Bethe lattice undergoes a first-order quantum phase transition at the isotropic point. Furthermore, the simple update scheme is found to be related with the Bethe approximation. Finally, by applying the simple update to various tree tensor clusters, we can obtain rather nice and scalable approximations for two-dimensional lattices.
资助者: National Natural Science Foundation of China [10934008, 10874215]; MOST [2011CB309703]; DFG [SFB-TR12]
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000311544500005
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/14981
Appears in Collections:理论物理所2012年知识产出_期刊论文

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Recommended Citation:
Li, W,von Delft, J,Xiang, T. Efficient simulation of infinite tree tensor network states on the Bethe lattice[J]. PHYSICAL REVIEW B,2012,86(19):195137.
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