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Condensed Matter

arXiv:cond-mat/9603020 (cond-mat)
[Submitted on 4 Mar 1996]

Title:Density-matrix renormalization-group method in momentum space

Authors:T. Xiang
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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 $4\times 4$ lattice and yields new upper bounds of ground state energies on an 8$\times$8 lattice.
Comments: 4 pages Revtex, to appear in Phys. Rev. B Rapid Communication (April 15), no figure
Subjects: Condensed Matter (cond-mat)
Report number: IRC 96 210
Cite as: arXiv:cond-mat/9603020
  (or arXiv:cond-mat/9603020v1 for this version)
  https://doi.org/10.48550/arXiv.cond-mat/9603020
Related DOI: https://doi.org/10.1103/PhysRevB.53.R10445

Submission history

From: T. Xiang [view email]
[v1] Mon, 4 Mar 1996 14:06:22 UTC (9 KB)
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