Controlling sign problems in spin models using tensor renormalization

CORC > 物理研究所 > 物理所公开发表论文 > 期刊论文

	Controlling sign problems in spin models using tensor renormalization
	Denbleyker, A ; Liu, YZ ; Meurice, Y ; Qin, MP ; Xiang, T ; Xie, ZY ; Yu, JF ; Zou, HY
刊名	PHYSICAL REVIEW D
	2014
卷号	89 期号:1
ISSN号	1550-7998
通讯作者	Zou, HY (reprint author), Univ Iowa, Dept Phys & Astron, Iowa City, IA 52242 USA.
中文摘要	We consider the sign problem for classical spin models at complex beta = 1/g(0)(2) on L x L lattices. We show that the tensor renormalization group method allows reliable calculations for larger Im beta than the reweighting Monte Carlo method. For the Ising model with complex beta we compare our results with the exact Onsager-Kaufman solution at finite volume. The Fisher zeros can be determined precisely with the tensor renormalization group method. We check the convergence of the tensor renormalization group method for the O(2) model on L x L lattices when the number of states D-s increases. We show that the finite size scaling of the calculated Fisher zeros agrees very well with the Kosterlitz-Thouless transition assumption and predict the locations for larger volume. The location of these zeros agree with Monte Carlo reweighting calculation for small volume. The application of the method for the O(2) model with a chemical potential is briefly discussed.
资助信息	Department of Energy [DE-SC0010114, FG02-91ER40664]; Office of Science of the U.S. Department of Energy [DE-AC02-05CH11231]; University of Iowa's Helium Cluster; URA Visiting Scholars' program; United States Department of Energy [DE-AC02-07CH11359]; National Natural Science Foundation of China [10934008, 10874215]; MOST 973 Project [2011CB309703]; NSF [1066293]
语种	英语
公开日期	2015-04-14
内容类型	期刊论文
源URL	[http://ir.iphy.ac.cn/handle/311004/59571]
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	Denbleyker, A,Liu, YZ,Meurice, Y,et al. Controlling sign problems in spin models using tensor renormalization[J]. PHYSICAL REVIEW D,2014,89(1).
APA	Denbleyker, A.,Liu, YZ.,Meurice, Y.,Qin, MP.,Xiang, T.,...&Zou, HY.(2014).Controlling sign problems in spin models using tensor renormalization.PHYSICAL REVIEW D,89(1).
MLA	Denbleyker, A,et al."Controlling sign problems in spin models using tensor renormalization".PHYSICAL REVIEW D 89.1(2014).