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Li, W; von Delft, J; Xiang, T; Li, W (reprint author), Univ Munich, Arnold Sommerfeld Ctr Theoret Phys, Dept Phys, D-80333 Munich, Germany.
Efficient simulation of infinite tree tensor network states on the Bethe lattice
发表期刊PHYSICAL REVIEW B
语种英语
关键词Matrix Renormalization-group Cayley Trees Xxz Model Antiferromagnet
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.
2012
ISSN1098-0121
卷号86期号:19页码:195137
学科领域Physics
收录类别SCI
项目资助者National Natural Science Foundation of China [10934008, 10874215]; MOST [2011CB309703]; DFG [SFB-TR12] ; National Natural Science Foundation of China [10934008, 10874215]; MOST [2011CB309703]; DFG [SFB-TR12] ; National Natural Science Foundation of China [10934008, 10874215]; MOST [2011CB309703]; DFG [SFB-TR12] ; National Natural Science Foundation of China [10934008, 10874215]; MOST [2011CB309703]; DFG [SFB-TR12]
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被引频次:22[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/311006/14981
专题理论物理所科研产出_SCI论文
通讯作者Li, W (reprint author), Univ Munich, Arnold Sommerfeld Ctr Theoret Phys, Dept Phys, D-80333 Munich, Germany.
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GB/T 7714
Li, W,von Delft, J,Xiang, T,et al. Efficient simulation of infinite tree tensor network states on the Bethe lattice[J]. PHYSICAL REVIEW B,2012,86(19):195137.
APA Li, W,von Delft, J,Xiang, T,&Li, W .(2012).Efficient simulation of infinite tree tensor network states on the Bethe lattice.PHYSICAL REVIEW B,86(19),195137.
MLA Li, W,et al."Efficient simulation of infinite tree tensor network states on the Bethe lattice".PHYSICAL REVIEW B 86.19(2012):195137.
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