Intervalley coherence, spin orbit coupling, and superconductivity in rhombohedral graphene
Rhombohedral graphenes host magnetism and superconductivity at low carrier density. These systems have no moire superlattice; the resulting lack of disorder allows precise measurements of the interplay of different symmetry breaking orders. These include a cascade of spin- and valley-imbalanced ferromagnets, as well as both spin-singlet and spin-triplet superconducting states.
I will provide an overview of the physics of these systems, focusing on some recent results pertaining to the effects of intrinsic and synthetic spin orbit coupling on the many body phase diagram, the generic emergence of intervalley coherence in these systems, and the implications for the underlying mechanisms of ferromagnetism and superconductivity.