We consider a variational problem for three-dimensional (3D) classical lattice models. We construct the trial state as a two-dimensional product of local variational weights that contain auxiliary variables. We propose a stable numerical algorithm for the maximization of the variational partition function per layer. The numerical stability and efficiency of the new method are examined through its application to the 3D Ising model.
@article{arxiv.cond-mat/0303376,
title = {Stable Optimization of a Tensor Product Variational State},
author = {Andrej Gendiar and Nobuya Maeshima and Tomotoshi Nishino},
journal= {arXiv preprint arXiv:cond-mat/0303376},
year = {2009}
}
Comments
9 pages, 5 figures, in LaTex2e style. accepted for publication in Prog. Theor. Phys. 110