Phases of a phenomenological model of twisted bilayer graphene

J. Dodaro,S. Kivelson,Y. Schattner,Xiao-Qi Sun,Chao Wang

Published 2018 in Physical review B

ABSTRACT

We propose a lattice scale two-band generalized Hubbard model as a caricature of the electronic structure of twisted bilayer graphene. Various possible broken symmetry phases can arise, including a nematic phase (which is a form of orbital ferromagnet) and an orbital-triplet spin-singlet superconducting phase. Concerning the mechanism of superconductivity -- we propose an analogy with superconductivity in alkali-doped C$_{60}$ in which a violation of Hund's first rule plays a central role.

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