4.4 Article

Ferromagnetism in the Hubbard model with topological/non-topological flat bands

Journal

EPL
Volume 91, Issue 5, Pages -

Publisher

EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
DOI: 10.1209/0295-5075/91/57007

Keywords

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Funding

  1. Ministry of Education, Culture, Sports, Science and Technology of Japan [20740214]
  2. JSPS
  3. NSF [PHY05-51164]
  4. Grants-in-Aid for Scientific Research [20740214] Funding Source: KAKEN

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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 non-zero gap. We study the Chern number of the flat bands, and find that it is zero for the first class but can be non-trivial in the second. We also prove that the introduction of on-site Coulomb repulsion leads to ferromagnetism in both the classes. Copyright (C) EPLA, 2010

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