中文

Density-matrix renormalization-group method in momentum space

凝聚态物理 2009-10-28 v1

摘要

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 4×44\times 4 lattice and yields new upper bounds of ground state energies on an 8×\times8 lattice.

关键词

引用

@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}
}

备注

4 pages Revtex, to appear in Phys. Rev. B Rapid Communication (April 15), no figure