Self-Consistent Tensor Product Variational Approximation for 3D Classical Models

Details Self-Consistent Tensor Product Variational Approximation for 3D Classical Models Self-Consistent Tensor Product Variational Approximation for 3D Classical Models

2000-01-08

arxiv.org/abs/cond-mat/0001083v1

Nucl. Phys. B575 (2000) 504-512

Physics

Condensed Matter

Statistical Mechanics

12 pages, 6 figures

Scientific paper

10.1016/S0550-3213(00)00133-4

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.

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