Charge order and Mott insulating ground states in small-angle twisted bilayer graphene

摘要: In this work, we determine states of electronic order small-angle twisted bilayer graphene. Ground are determined for weak and strong couplings which representatives varying distances the twist-angle from its magic value. weak-coupling regime, charge density waves emerge break translational C 3-rotational symmetry. coupling-regime, find rotational symmetry breaking Mott insulating all commensurate moire band fillings. Depending on local occupation superlattice sites hosting up to four electrons, global spin-(ferromagnetic) valley symmetries also broken may give rise a reduced Landau level degeneracy as observed in experiments The formation those particular electron orders is traced back important role characteristic non-local interactions connect localized belonging one hexagon formed by AB- BA-stacked regions superlattice.