We propose a numerical self-consistent method for 3D classical lattice models, which optimizes the variational state written as two-dimensional product of tensors. The variational partition function is calculated by the corner transfer matrix renormalization group (CTMRG), which is a variant of the density matrix renormalization group (DMRG). Numerical efficiency of the method is observed via its application to the 3D Ising model.
@article{arxiv.cond-mat/0011103,
title = {Two-Dimensional Tensor Product Variational Formulation},
author = {Tomotoshi Nishino and Yasuhiro Hieida and Kouichi Okunishi and Nobuya Maeshima and Yasuhiro Akutsu and Andrej Gendiar},
journal= {arXiv preprint arXiv:cond-mat/0011103},
year = {2010}
}
Comments
9 pages, 4 figures, submitted to Prog. Theor. Phys