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

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

1996-04-18

arxiv.org/abs/cond-mat/9604121v1

Physics

Condensed Matter

8 pages, Latex, preprint of ETH-Lausanne

Scientific paper

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 $s_g=(N_e-2)/2$.

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