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Tensor Product Variational Formulation for Quantum Systems

Statistical Mechanics 2007-05-23 v1

Abstract

We consider a variational problem for the two-dimensional (2D) Heisenberg and XY models, using a trial state which is constructed as a 2D product of local weights. Variational energy is calculated by use of the the corner transfer matrix renormalization group (CTMRG) method, and its upper bound is surveyed. The variational approach is a way of applying the density matrix renormalization group method (DMRG) to infinite size 2D quantum systems.

Keywords

Cite

@article{arxiv.cond-mat/0401115,
  title  = {Tensor Product Variational Formulation for Quantum Systems},
  author = {Y. Nishio and N. Maeshima and A. Gendiar and T. Nishino},
  journal= {arXiv preprint arXiv:cond-mat/0401115},
  year   = {2007}
}

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5 pages