Correlated Phases in Spin-Orbit-Coupled Rhombohedral Trilayer Graphene
arXiv:2306.12486 · doi:10.1103/PhysRevB.109.035113
Abstract
Recent experiments indicate that crystalline graphene multilayers exhibit much of the richness of their twisted counterparts, including cascades of symmetry-broken states and unconventional superconductivity. Interfacing Bernal bilayer graphene with a WSe monolayer was shown to dramatically enhance superconductivity -- suggesting that proximity-induced spin-orbit coupling plays a key role in promoting Cooper pairing. Motivated by this observation, we study the phase diagram of spin-orbit-coupled rhombohedral trilayer graphene via self-consistent Hartree-Fock simulations, elucidating the interplay between displacement field effects, long-range Coulomb repulsion, short-range (Hund's) interactions, and substrate-induced Ising spin-orbit coupling. In addition to generalized Stoner ferromagnets, we find various flavors of intervalley coherent ground states distinguished by their transformation properties under electronic time reversal, rotations, and an effective anti-unitary symmetry. We pay particular attention to broken-symmetry phases that yield Fermi surfaces compatible with zero-momentum Cooper pairing, identifying promising candidate orders that may support spin-orbit-enhanced superconductivity.
arXiv comment14 pages, 8 figures, 1 table in main text; 8 pages, 2 figures, 1 table in appendices; current version similar to published version
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