Ruprecht Karls Universität Heidelberg

Mathematical Physics

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Flat-band Ferromagnetism

Ferromagnetism in the Hubbard model has been investigated for a long time. Unfortunately, only few exact results are available. A class of models where we were able to prove the existence and the uniqueness of ferromagnetic ground states are the so called flat-band systems. They contain a flat band together with several dispersive bands. Some of the results are valid for models with a partially flat band. This is important progress, since it opens a way to metallic ferromagnetism.

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