English

Control of the finite size corrections in exact diagonalization studies

Condensed Matter 2009-10-28 v1

Abstract

We study the possibility of controlling the finite size corrections in exact diagonalization studies quantitatively. We consider the one- and two dimensional Hubbard model. We show that the finite-size corrections can be be reduced systematically by a grand-canonical integration over boundary conditions. We find, in general, an improvement of one order of magnitude with respect to studies with periodic boundary conditions only. We present results for ground-state properties of the 2D Hubbard model and an evaluation of the specific heat for the 1D and 2D Hubbard model.

Keywords

Cite

@article{arxiv.cond-mat/9511113,
  title  = {Control of the finite size corrections in exact diagonalization studies},
  author = {Claudius Gros},
  journal= {arXiv preprint arXiv:cond-mat/9511113},
  year   = {2009}
}

Comments

Phys. Rev. B (Brief Report), in press