English

Scaling properties of the ferromagnetic state in the Hubbard model

Condensed Matter 2009-10-22 v1

Abstract

A numerical scaling analysis is used to show that Nagaoka's ferromagnetic state in two-dimensional Hubbard model with one hole is supersede by an antiferromagnetic (AF) state with a discontinuous jump in the total spin due to the AF coupling as the Hubbard UU is made finite. The same applies to the two-hole system, which has a spiral spin structure. We can show, via the scaling, that the crossover to an AF state is a precursor of a pathological coalescence of states having the minimum spin and Nagaoka's state at U=U=\infty in the thermodynamic limit.

Keywords

Cite

@article{arxiv.cond-mat/9407036,
  title  = {Scaling properties of the ferromagnetic state in the Hubbard model},
  author = {K. Kusakabe and H. Aoki},
  journal= {arXiv preprint arXiv:cond-mat/9407036},
  year   = {2009}
}

Comments

10 pages, typeset in LATEX, KA-94-01, 3 figures available upon request at [email protected]