Functional Renormalization Group Study of Superconductivity in Rhombohedral Trilayer Graphene
arXiv:2203.09083 · doi:10.1103/PhysRevLett.130.146001
Abstract
We employ a functional renormalization group approach to ascertain the pairing mechanism and symmetry of the superconducting phase observed in rhombohedral trilayer graphene. Superconductivity in this system occurs in a regime of carrier density and displacement field with a weakly distorted annular Fermi sea. We find that repulsive Coulomb interactions can induce electron pairing on the Fermi surface by taking advantage of momentum-space structure associated with the finite width of the Fermi sea annulus. The degeneracy between spin-singlet and spin-triplet pairing is lifted by valley-exchange interactions that strengthen under the RG flow and develop nontrivial momentum-space structure. We find that the leading pairing instability is -wave-like and spin-singlet, and that the theoretical phase diagram versus carrier density and displacement field agrees qualitatively with experiment.
arXiv comment7+24 pages, 5+14 figures, 1+3 tables
References in corpus (48)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Moire bands in twisted double-layer graphene
- Tuning superconductivity in twisted bilayer graphene
- Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
- Renormalization Group Approach to Interacting Fermions
- Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene
- Functional renormalization group approach to correlated fermion systems
- Magnetism, superconductivity, and pairing symmetry in Fe-based superconductors
- Untying the insulating and superconducting orders in magic-angle graphene
- Theory of phonon-mediated superconductivity in twisted bilayer graphene
- Electric field tunable unconventional superconductivity in alternating twist magic-angle trilayer graphene
- Funtional Renormalization Group Study of the Pairing Symmetry and Pairing Mechanism of the FeAs Based High Temperature Superconductors
- A Numerical Renormalization Group Study of the Superconducting and Spin Density Wave Instabilities in MFeAsOF Compounds
- Cascade of electronic transitions in magic-angle twisted bilayer graphene
- Cascade of Phase Transitions and Dirac Revivals in Magic Angle Graphene
- Decoupling superconductivity and correlated insulators in twisted bilayer graphene
- Superconductivity in rhombohedral trilayer graphene
- Mapping the twist angle and unconventional Landau levels in magic angle graphene
- Band Structure of ABC-Stacked Graphene Trilayers
- Half and quarter metals in rhombohedral trilayer graphene
- Renormalization group analysis of the 2D Hubbard model
- Unconventional Superconductivity and Density Waves in Twisted Bilayer Graphene
- Magic Angle Hierarchy in Twisted Graphene Multilayers
- Kohn-Luttinger Superconductivity in Twisted Bilayer Graphene
- Tuning electron correlation in magic-angle twisted bilayer graphene using Coulomb screening
- Functional Renormalization Group for multi-orbital Fermi Surface Instabilities
- Quantum critical behavior in magic-angle twisted bilayer graphene
- The temperature-flow renormalization group and the competition between superconductivity and ferromagnetism
- Kohn-Luttinger superconductivity in graphene
- Competing zero-field Chern insulators in Superconducting Twisted Bilayer Graphene
- Twisted Trilayer Graphene: a Precisely Tunable Platform for Correlated Electrons
- Flat bands and perfect metal in trilayer moiré graphene
- Inter-valley coherent order and isospin fluctuation mediated superconductivity in rhombohedral trilayer graphene
- Unconventional superconductivity in systems with annular Fermi surfaces: Application to rhombohedral trilayer graphene
- Acoustic-phonon-mediated superconductivity in rhombohedral trilayer graphene
- Superconductivity from Repulsive Interactions in Rhombohedral Trilayer Graphene: a Kohn-Luttinger-Like Mechanism
- Spin and Orbital Metallic Magnetism in Rhombohedral Trilayer Graphene
- Metals, fractional metals, and superconductivity in rhombohedral trilayer graphene
- Mirror Symmetry Breaking and Lateral Stacking Shifts in Twisted Trilayer Graphene
- Attractive electron-electron interactions from internal screening in magic angle twisted bilayer graphene
- Band Structure and Superconductivity in Twisted Trilayer Graphene
- Superconductivity from repulsive interactions in the two dimensional electron gas
- Magnetic and Kohn-Luttinger instabilities near a Van Hove singularity: monolayer versus twisted bilayer graphene
- Deep Learning the Functional Renormalization Group
- The Kohn-Luttinger effect and anomalous pairing in new superconducting systems and graphene
- The Kohn-Luttinger superconductivity in idealized doped graphene
- Phase diagram of the Kohn-Luttinger superconducting state for bilayer graphene
Cited by in corpus (34)
- Spin-Orbit Enhanced Superconductivity in Bernal Bilayer Graphene
- Superconductivity and correlated phases in non-twisted bilayer and trilayer graphene
- Superconductivity from electronic interactions and spin-orbit enhancement in bilayer and trilayer graphene
- Spin-triplet superconductivity at the onset of isospin order in biased bilayer graphene
- Correlated Phases in Spin-Orbit-Coupled Rhombohedral Trilayer Graphene
- Stabilizing fluctuating spin-triplet superconductivity in graphene via induced spin-orbit coupling
- Band Renormalization, Quarter Metals, and Chiral Superconductivity in Rhombohedral Tetralayer Graphene
- Gate-Defined Topological Josephson Junctions in Bernal Bilayer Graphene
- Ferroelectricity-tuned band topology and superconductivity in two-dimensional materials and related heterostructures
- Charge fluctuations, phonons and superconductivity in multilayer graphene
- Emergent correlated phases in rhombohedral trilayer graphene induced by proximity spin-orbit and exchange coupling
- Quantum Monte Carlo study of superconductivity in rhombohedral trilayer graphene under an electric field
- Chiral and topological superconductivity in isospin polarized multilayer graphene
- Superconductivity from repulsive interactions in Bernal-stacked bilayer graphene
- Swapping exchange and spin-orbit induced correlated phases in proximitized Bernal bilayer graphene
- Spin and Charge Fluctuation Induced Pairing in ABCB Tetralayer Graphene
- Topological Chiral Superconductivity Mediated by Intervalley Antiferromagnetic Fluctuations in Twisted Bilayer WSe
- Incommensurate inter-valley coherent states in ABC graphene: collective modes and superconductivity
- The Crossover from Ordinary to Higher-Order van Hove Singularity in a Honeycomb System: A Parquet Renormalization Group Analysis
- Intrinsic superconducting diode effect and nonreciprocal superconductivity in rhombohedral graphene multilayers
- Nodal pair density waves from a quarter-metal in crystalline graphene multilayers
- Chirality and correlations in the spontaneous spin-valley polarization of rhombohedral multilayer graphene
- Linear spectroscopy of collective modes and the gap structure in two-dimensional superconductors
- Magnetic and Lattice Ordered Fractional Quantum Hall Phases in Graphene
- Supercell Wannier functions and a faithful low-energy model for Bernal bilayer graphene
- Fractional quantum Hall coexistence phases in higher Landau levels of graphene
- Probing superconductivity with tunneling spectroscopy in rhombohedral graphene
- Fermion-fermion interaction driven phase transitions in rhombohedral trilayer graphene
- Correlated phases in rhombohedral multilayer graphene
- Brillouin zone folding method for quasiperiodic superconductivity in multilayer systems: application to electronic structure and optical responses
- Finite-momentum pairing and superlattice superconductivity in valley-imbalanced rhombohedral graphene
- Pair density wave in quarter metals from a repulsive fermionic interaction in graphene heterostructures: A renormalization group study
- Charge density waves and stripes in quarter metals of graphene heterostructures
- Surface Functional Renormalization Group for Layered Quantum Materials