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

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arxiv 0907.4564 v3 pith:DEQFENNB submitted 2009-07-27 cond-mat.str-el cond-mat.stat-mech

Hosho Katsura , Isao Maruyama , Akinori Tanaka , Hal Tasaki This is my paper · ORCID
classification cond-mat.str-elcond-mat.stat-mech
keywords bandsflatclassesferromagnetismhubbardbandchernclass
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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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  1. Exact Quantum Many-Body Scars in 2D Quantum Gauge Models

    cond-mat.str-el 2025-05 conditional novelty 7.0 of 10

    Exact many-body scar eigenstates of a 2D XY model are mapped via Kramers-Wannier duality to exact scars of a Z2 lattice gauge theory.

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