Ferromagnetism in an itinerant electron system: Hubbard model on complete graph
Abstract
Description
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 $s_g=(N_e-2)/2$.
8 pages, Latex, preprint of ETH-Lausanne
8 pages, Latex, preprint of ETH-Lausanne