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

1996/04/18 by D. F. Wang, Wang, D. F.
Materials Science · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Magnetism in coordination complexes #Organic and Molecular Conductors Research #Physics of Superconductivity and Magnetism #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9604121

8 pages, Latex, preprint of ETH-Lausanne

arxiv created 1996/04/18 · openalex publication_date 1996/04/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 ≥ 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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