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Incommensurate inter-valley coherent states in ABC graphene: collective modes and superconductivity

Incommensurate inter-valley coherent states in ABC graphene: collective modes and superconductivity

Recent experiments in ABC trilayer graphene detected superconductivity on the border of a phase transition to a symmetry-broken phase. In this work, we use unrestricted Hartree-Fock to study the nature of this phase. We find a close competition between two incommensurate inter-valley coherent (IVC) phases: an IVC crystal where the …