A class of ansatz wave functions for 1D spin systems and their relation to DMRG
Condensed Matter
2009-10-28 v1
Abstract
We investigate the density matrix renormalization group (DMRG) discovered by White and show that in the case where the renormalization eventually converges to a fixed point the DMRG ground state can be simply written as a ``matrix product'' form. This ground state can also be rederived through a simple variational ansatz making no reference to the DMRG construction. We also show how to construct the ``matrix product'' states and how to calculate their properties, including the excitation spectrum. This paper provides details of many results announced in an earlier letter.
Keywords
Cite
@article{arxiv.cond-mat/9606213,
title = {A class of ansatz wave functions for 1D spin systems and their relation to DMRG},
author = {Stefan Rommer and Stellan Ostlund},
journal= {arXiv preprint arXiv:cond-mat/9606213},
year = {2009}
}
Comments
RevTeX, 49 pages including 4 figures (macro included). Uuencoded with uufiles. A complete postscript file is available at http://fy.chalmers.se/~tfksr/prb.dmrg.ps