Efficient simulation of infinite tree tensor network states on the Bethe lattice

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	Efficient simulation of infinite tree tensor network states on the Bethe lattice
	Li, W ; von Delft, J ; Xiang, T
刊名	PHYSICAL REVIEW B
	2012
卷号	86 期号:19
关键词	MATRIX RENORMALIZATION-GROUP CAYLEY TREES XXZ MODEL ANTIFERROMAGNET
ISSN号	1098-0121
通讯作者	Li, W: Univ Munich, Arnold Sommerfeld Ctr Theoret Phys, Dept Phys, D-80333 Munich, Germany.
中文摘要	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.
收录类别	SCI
资助信息	National Natural Science Foundation of China [10934008, 10874215]; MOST [2011CB309703]; DFG [SFB-TR12]
语种	英语
公开日期	2013-09-17
内容类型	期刊论文
源URL	[http://ir.iphy.ac.cn/handle/311004/36866]
专题	物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文
推荐引用方式 GB/T 7714	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).
APA	Li, W,von Delft, J,&Xiang, T.(2012).Efficient simulation of infinite tree tensor network states on the Bethe lattice.PHYSICAL REVIEW B,86(19).
MLA	Li, W,et al."Efficient simulation of infinite tree tensor network states on the Bethe lattice".PHYSICAL REVIEW B 86.19(2012).