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.
14 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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- Electrical control of spin and valley in spin-orbit coupled graphene multilayers
- Superconductivity and spin canting in spin-orbit proximitized rhombohedral trilayer graphene
- Gate-tunable topological phases in superlattice modulated bilayer graphene
- Swapping exchange and spin-orbit induced correlated phases in proximitized Bernal bilayer graphene
- Symmetry-broken metallic orders in spin-orbit-coupled Bernal bilayer graphene
- Nonlinear optical responses and quantum geometry in rhombohedral trilayer graphene
- Incommensurate inter-valley coherent states in ABC graphene: collective modes and superconductivity
- Layer-Dependent Quantum Anomalous Hall Effect in Rhombohedral Graphene
- Quarter-Metal Phases in Multilayer Graphene: Ising-XY and Annular Lifshitz Transitions
- Valley polarization, magnetization, and superconductivity in bilayer graphene near the van Hove singularity
- Unconventional Metallic Magnetism: Non-analyticity and Sign-changing Behavior of Orbital Magnetization in ABC Trilayer Graphene
- Competition of Exchange and Correlation Energies in Two-Dimensional -component Electron Gas Ferromagnetism
- Promoting and imaging intervalley coherent order in rhombohedral tetralayer graphene on MoS2
- Topological frequency conversion in rhombohedral multilayer graphene
- Real-space study of zero-field correlation in tetralayer rhombohedral graphene
- Visualizing isospin magnetic texture and intervalley exchange interaction in rhombohedral tetralayer graphene
- Topological phases, van Hove singularities, and spin texture in magic-angle twisted bilayer graphene in the presence of proximity-induced spin-orbit couplings
- Ephemeral Superconductivity Atop the False Vacuum
- Nematic Enhancement of Superconductivity in Multilayer Graphene via Quantum Geometry
- Various electronic crystal phases in rhombohedral graphene multilayers
- Orbital Longitudinal Magneto-electric Coupling in Multilayer Graphene
- Gate and Carriers tunable Valley Imbalance in Topological Proximitized Rhombohedral Trilayer Graphene