Ferromagnetism in the Hubbard model with Topological/Non-Topological Flat Bands

Details Ferromagnetism in the Hubbard model with Topological/Non-Topological Flat Bands Ferromagnetism in the Hubbard model with Topological/Non-Topological Flat Bands

2009-07-27

arxiv.org/abs/0907.4564v3

Europhys Lett. 91, 57007 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 5 figures

Scientific paper

10.1209/0295-5075/91/57007

We introduce and study two classes of Hubbard models with magnetic flux or with spin-orbit coupling, which have a flat lowest band separated from other bands by a nonzero gap. We study the Chern number of the flat bands, and find that it is zero for the first class but can be nontrivial in the second. We also prove that the introduction of on-site Coulomb repulsion leads to ferromagnetism in both the classes.

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