Nodal pair density waves from a quarter-metal in crystalline graphene multilayers
arXiv:2210.15660 · doi:10.1103/wy3f-hgr9
Abstract
Crystalline graphene heterostructures, namely, Bernal bilayer graphene (BBLG) and rhombohedral trilayer graphene (RTLG), for example, subject to perpendicular electric displacement fields, display a rich confluence of competing orders, resulting in a valley-degenerate, spin-polarized half-metal at moderate doping, and a spin- and valley-polarized (non-degenerate) quarter-metal at lower doping. Here we show that such a quarter-metal can be susceptible toward the nucleation of a unique spin- and valley-polarized superconducting ground state, accommodating \emph{odd-parity} (dominantly wave in BBLG and wave in RTLG) inter-layer Cooper pairs that break the translational symmetry, giving rise to a Kekulé (in BBLG) or columnar (in RTLG) pair density wave. Due to the trigonal warping in the normal state, the superconducting ground state produces three-fold rotationally symmetric isolated Fermi rings of normal fermions, which can manifest via linear in temperature scaling of the specific heat. We present scaling of the zero-temperature pairing amplitude and the transition temperature of such pair density wave in the presence of trigonally warped disconnected, annular, and simply connected Fermi rings in the normal state, subject to an effective attractive interaction within a mean-field approximation.
Published version in PRB (Change in authorship): 17 Pages and 7 Figures
References in corpus (40)
- The electronic properties of graphene
- Roton pair density wave and unconventional strong-coupling superconductivity in a topological kagome metal
- Superconductivity in rhombohedral trilayer graphene
- Band Structure of ABC-Stacked Graphene Trilayers
- Isospin magnetism and spin-triplet superconductivity in Bernal bilayer graphene
- Half and quarter metals in rhombohedral trilayer graphene
- Theory of interacting electrons on the honeycomb lattice
- Determination of the electronic structure of bilayer graphene from infrared spectroscopy results
- Bogoliubov Fermi surfaces in superconductors with broken time-reversal symmetry
- Quantum cascade of new correlated phases in trigonally warped bilayer graphene
- Cascade of isospin phase transitions in Bernal bilayer graphene at zero magnetic field
- Unconventional superconductivity on honeycomb lattice: the theory of Kekule order parameter
- Signatures of Chiral Superconductivity in Rhombohedral 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
- Discovery of a pair density wave state in a monolayer high-Tc iron-based superconductor
- Acoustic-phonon-mediated superconductivity in rhombohedral trilayer graphene
- Superconductivity and quantized anomalous Hall in rhombohedral graphene
- Superconductivity from Repulsive Interactions in Rhombohedral Trilayer Graphene: a Kohn-Luttinger-Like Mechanism
- Acoustic-phonon-mediated superconductivity in Bernal bilayer graphene
- Spin and Orbital Metallic Magnetism in Rhombohedral Trilayer Graphene
- Superconductivity from electronic interactions and spin-orbit enhancement in bilayer and trilayer graphene
- Metals, fractional metals, and superconductivity in rhombohedral trilayer graphene
- Spin-triplet superconductivity at the onset of isospin order in biased bilayer graphene
- Functional Renormalization Group Study of Superconductivity in Rhombohedral Trilayer Graphene
- Competing orders and cascade of degeneracy lifting in doped Bernal bilayer graphene
- Correlated metals and unconventional superconductivity in rhombohedral trilayer graphene: A renormalization group analysis
- Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders
- Pair-Density-Wave in the Strong Coupling Limit of the Holstein-Hubbard model
- Pair density wave order from electron repulsion
- Stabilizing fluctuating spin-triplet superconductivity in graphene via induced spin-orbit coupling
- Breached Superfluidity via P-Wave Coupling
- Observation of competing, correlated ground states in the flat band of rhombohedral graphite
- Weak-Coupling Theory of Pair Density-Wave Instabilities in Transition Metal Dichalcogenides
- Emergence of Chern Supermetal and Pair-Density Wave through Higher-Order Van Hove Singularities in the Haldane-Hubbard Model
- Pair density wave and reentrant superconducting tendencies originating from valley polarization
- Strong correlations in ABC-stacked trilayer graphene: Moiré is important
- Projected Topological Branes
- Intra-valley Spin-triplet Superconducting Pairing in Lightly Doped Graphene
- Optical conductivity as a probe of the interaction-driven metal in rhombohedral trilayer graphene
Cited by in corpus (6)
- Chiral and topological superconductivity in isospin polarized multilayer graphene
- Quarter Metal Superconductivity
- Correlated phases in rhombohedral multilayer 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
- Family of multilayer graphene superconductors with tunable chirality: Momentum-space vortices nucleated by a ring of Berry curvature