Density-matrix renormalization-group method in momentum space
Abstract
A momentum-space approach of the density-matrix renormalization-group (DMRG) method is developed. Ground state energies of the Hubbard model are evaluated using this method and compared with exact diagonalization as well as quantum Monte-Carlo results. It is shown that the momentum-space DMRG is a very useful numerical tool for studying the Hubbard model and other fundamental models of interacting electrons in two dimensions. For the Hubbard model in two dimensions, the momentum-space DMRG method reproduces accurately the exact diagonalization results of ground state energies on a lattice and yields new upper bounds of ground state energies on an 88 lattice.
Cite
@article{arxiv.cond-mat/9603020,
title = {Density-matrix renormalization-group method in momentum space},
author = {T. Xiang},
journal= {arXiv preprint arXiv:cond-mat/9603020},
year = {2009}
}
Comments
4 pages Revtex, to appear in Phys. Rev. B Rapid Communication (April 15), no figure