Valley Spirals in Magnetically Encapsulated Twisted Bilayer Graphene

Van der Waals heterostructures provide a rich platform for emergent physics due to their tunable hybridization of layers, orbitals, and spin. In this presentation, we show that twisted bilayer graphene stacked between ferromagnetic insulators features flat electronic bands due to the interplay between twist, exchange proximity, and spin-orbit coupling. Crucially, these flat bands are nearly degenerate in valley and are effectively described by a triangular superlattice model. At half-filling, we find that interactions induce spontaneous valley-correlations that favor spiral order and derive a low-energy valley-Heisenberg model with symmetric and antisymmetric exchange couplings. We also show how electric interlayer bias lifts the valley degeneracy and tunes these couplings. Our results put forward magnetic van der Waals heterostructures as platform to explore valley-correlated states in graphene.