English

Helicity Modulus and Effective Hopping in the Two-Dimensional Hubbard Model Using Slave-Boson Methods

Condensed Matter 2009-10-22 v1

Abstract

The slave-boson mean-field method is used to study the two-dimensional Hubbard model. A magnetic phase diagram allowing for paramagnetism, weak- and strong ferromagnetism and antiferromagnetism, including all continuous and first-order transitions, is constructed and compared to the corresponding phase diagram using the Hartree-Fock approximation (HFA). Magnetically ordered regions are reduced by a factor of about 3 along both the t/Ut/U and density axes compared to the HFA. Using the spin-rotation invariant formulation of the slave-boson method the helicity modulus is computed and for half-filling is found to practically coincide with that found using variational Monte Carlo calculations using the Gutzwiller wave function. Off half-filling the results can be used to compare with Quantum Monte Carlo calculations of the effective hopping parameter. Contrary to the case of half-filling, the slave-boson approach is seen to greatly improve the results of the HFA when off half-filling. (Submitted to: Journal of Physics: Condensed Matter)

Keywords

Cite

@article{arxiv.cond-mat/9406093,
  title  = {Helicity Modulus and Effective Hopping in the Two-Dimensional Hubbard Model Using Slave-Boson Methods},
  author = {P. J. H. Denteneer and M. Blaauboer},
  journal= {arXiv preprint arXiv:cond-mat/9406093},
  year   = {2009}
}

Comments

27 pages, LaTeX2e, 7 figures available upon request, INLO-PUB-10/94

R2 v1 2026-07-22T11:47:41.869Z