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Flat-band ferromagnetism in twisted bilayer graphene

Pons, R. ; Mielke, A. ; Stauber, T.



Abstract

We discuss twisted bilayer graphene (TBG) based on a theorem of flat-band ferromagnetism put forward by Mielke and Tasaki. According to this theorem, ferromagnetism occurs if the single-particle density matrix of the flat-band states is irreducible and we argue that this result can be applied to the quasi-flat-bands of TBG that emerge around the charge-neutrality point for twist angles around the ...

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