English

The ground state of the two-leg Hubbard ladder: a density--matrix renormalization group study

Condensed Matter 2009-10-28 v1

Abstract

We present density-matrix renormalization group results for the ground state properties of two-leg Hubbard ladders. The half-filled Hubbard ladder is an insulating spin-gapped system, exhibiting a crossover from a spin-liquid to a band-insulator as a function of the interchain hopping matrix element. When the system is doped, there is a parameter range in which the spin gap remains. In this phase, the doped holes form singlet pairs and the pair-field and the "4kF4 k_F" density correlations associated with pair density fluctuations decay as power laws, while the "2kF2 k_F" charge density wave correlations decay exponentially. We discuss the behavior of the exponents of the pairing and density correlations within this spin gapped phase. Additional one-band Luttinger liquid phases which occur in the large interband hopping regime are also discussed.

Keywords

Cite

@article{arxiv.cond-mat/9601047,
  title  = {The ground state of the two-leg Hubbard ladder: a density--matrix renormalization group study},
  author = {R. M. Noack and S. R. White and D. J. Scalapino},
  journal= {arXiv preprint arXiv:cond-mat/9601047},
  year   = {2009}
}

Comments

14 pages, 18 figures, uses Revtex with epsfig to include the figures