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Two-Dimensional Tensor Product Variational Formulation

Tomotoshi Nishino·Yasuhiro Hieida·Kouichi Okunishi·Nobuya Maeshima·Yasuhiro Akutsu·Andrej Gendiar
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Abstract

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.

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Tomotoshi Nishino, Yasuhiro Hieida, Kouichi Okunishi, Nobuya Maeshima, Yasuhiro Akutsu, Andrej Gendiar. 2000-11-07. Two-Dimensional Tensor Product Variational Formulation. https://doi.org/10.1143/ptp.105.409

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