Equivalence of the Variational Matrix Product Method and the Density Matrix Renormalization Group applied to Spin Chains
Strongly Correlated Electrons
2009-10-30 v1 Superconductivity
Abstract
We present a rotationally invariant matrix product method (MPM) of isotropic spin chains. This allows us to deal with a larger number of variational MPM parameters than those considered earlier by other authors. We also show the relation between the MPM and the DMRG method of White. In our approach the eigenstates of the density matrix associated with the MPM are used as variational parameters together with the standard MPM parameters. We compute the ground state energy density and the spin correlation length of the spin 1 Heisenberg chain.
Keywords
Cite
@article{arxiv.cond-mat/9710310,
title = {Equivalence of the Variational Matrix Product Method and the Density Matrix Renormalization Group applied to Spin Chains},
author = {J. Dukelsky and M. A. Martin-Delgado and T. Nishino and G. Sierra},
journal= {arXiv preprint arXiv:cond-mat/9710310},
year = {2009}
}
Comments
REVTEX file, 4 pages, NO figures inserted in text. 2 Tables