Equivalence of the Variational Matrix Product Method and the Density Matrix Renormalization Group applied to Spin Chains

Details Equivalence of the Variational Matrix Product Method and the Density Matrix Renormalization Group applied to Spin Chains Equivalence of the Variational Matrix Product Method and the Density Matrix Renormalization Group applied to Spin Chains

1997-10-29

arxiv.org/abs/cond-mat/9710310v1

Physics

Condensed Matter

Strongly Correlated Electrons

REVTEX file, 4 pages, NO figures inserted in text. 2 Tables

Scientific paper

10.1209/epl/i1998-00381-x

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.

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