Ferromagnetism in an itinerant electron system: Hubbard model on complete graph

D. F. Wang

Ferromagnetism in an itinerant electron system: Hubbard model on complete graph

Condensed Matter 2007-05-23 v1

Authors: D. F. Wang

Abstract

In this work, the ground states of the Hubbard model on complete graph are studied, for a finite lattice size $L$ and arbitrary on-site energy $U$ . We construct explicitly the ground states of the system when the number of the electrons $N_e \ge L+1$ . In particular, for $N_e=L+1$ , the ground state is ferromagnetic with total spin $s_g=(N_e-2)/2$ .

Keywords

hubbard model complete graph ferromagnetism itinerant electron system ground state total spin

Cite

@article{arxiv.cond-mat/9604121,
  title  = {Ferromagnetism in an itinerant electron system: Hubbard model on complete graph},
  author = {D. F. Wang},
  journal= {arXiv preprint arXiv:cond-mat/9604121},
  year   = {2007}
}