Self-consistent tensor product variational approximation for 3D classical models

被引:71
作者
Nishino, T [1 ]
Okunishi, K
Hieida, Y
Maeshima, N
Akutsu, Y
机构
[1] Kobe Univ, Dept Phys, Fac Sci, Kobe, Hyogo 6578501, Japan
[2] Osaka Univ, Grad Sch Engn, Dept Appl Phys, Suita, Osaka 5750871, Japan
[3] Gakushuin Univ, Ctr Comp, Toshima Ku, Tokyo 1718588, Japan
[4] Osaka Univ, Grad Sch Sci, Dept Phys, Toyonaka, Osaka 5600043, Japan
基金
日本学术振兴会;
关键词
DMRG; CTMRG; variational formulation;
D O I
10.1016/S0550-3213(00)00133-4
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We propose a numerical variational method for three-dimensional (3D) classical lattice models. We construct the variational state as a product of local tensors, and improve it by use of the corner transfer matrix renormalization group (CTMRG), which is a variant of the density matrix renormalization group (DMRG) applied to 2D classical systems. Numerical efficiency of this approximation is investigated through trial applications to the 3D Ising model and the 3D 3-state Potts model. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:504 / 512
页数:9
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