An extension to flat band ferromagnetism

M. Gulacsi, G. Kovacs, Z. Gulacsi

Research output: Contribution to journalArticle

2 Citations (Scopus)


From flat band ferromagnetism, we learned that the lowest energy half-filled flat band gives always ferromagnetism if the localized Wannier states on the flat band satisfy the connectivity condition. If the connectivity conditions are not satisfied, ferromagnetism does not appear. We show that this is not always the case namely, we show that ferromagnetism due to flat bands can appear even if the connectivity condition does not hold due to a peculiar behavior of the band situated just above the flat band.

Original languageEnglish
Article number1450220
JournalModern Physics Letters B
Issue number28
Publication statusPublished - Nov 10 2014


  • Exact ground states
  • Flat band ferromagnetism
  • Positive semidefinite operators

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

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