1999•Physical Review LettersOpen access

Ferromagnetism in Single-Band Hubbard Models with a Partially Flat Band

Andreas Mielke

Abstract

A Hubbard model with a single, partially flat band has ferromagnetic ground states. It is shown that local stability of ferromagnetism implies its global stability in such a model: The model has only ferromagnetic ground states if there are no single spin-flip ground states. Since a single-band Hubbard model away from half filling describes a metal, this result may open a route to metallic ferromagnetism in single-band Hubbard models.

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Key concepts: Hubbard model, Ferromagnetism, Condensed matter physics, Physics, Spin (aerodynamics), Superconductivity, Thermodynamics