pith. sign in

arxiv: cond-mat/0001083 · v1 · submitted 2000-01-08 · ❄️ cond-mat.stat-mech

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

T.Nishino , K.Okunishi , Y.Hieida , N.Maeshima , Y.Akutsu This is my paper
classification ❄️ cond-mat.stat-mech
keywords classicalvariationalapproximationgroupmatrixmodelmodelsnumerical
0
0 comments X
read the original abstract

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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Mapping twist fields to local operators via tensor networks

    quant-ph 2026-05 unverdicted novelty 7.0

    Constructs explicit physical local operators whose expectation values match twist field actions in MPS, exact in the injectivity limit and at the center of orthogonality, with numerical tests in the transverse-field I...