Band Renormalization, Quarter Metals, and Chiral Superconductivity in Rhombohedral Tetralayer Graphene

Abstract

Recently, exotic superconductivity emerging from a spin-and-valley-polarized metallic phase has been discovered in rhombohedral tetralayer graphene. To explain this observation, we study the role of electron-electron interactions in driving flavor symmetry breaking, using the Hartree-Fock (HF) approximation, and in stabilizing superconductivity mediated by repulsive interactions. Though mean-field HF correctly predicts the isospin flavors and reproduces the experimental phase diagram, it overestimates the band renormalization near the Fermi energy and suppresses superconducting instabilities. To address this, we introduce a physically motivated scheme that includes internal screening in the HF calculation. Using this formalism, we find superconductivity arising from the spin-valley polarized phase for a range of electric fields and electron dopings. Our findings reproduce the experimental observations and reveal a p-wave, finite-momentum, time-reversal-symmetry-broken superconducting state, encouraging further investigation into exotic phases in graphene multilayers.

arXiv comment5 pages, 4 figures and supplementary material. Updated version. Comments are very welcome

References in corpus (60)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Tuning superconductivity in twisted bilayer graphene
• Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
• Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene
• Graphene Bilayers with a Twist
• Electronic states and Landau levels in graphene stacks
• Untying the insulating and superconducting orders in magic-angle graphene
• Electric field tunable unconventional superconductivity in alternating twist magic-angle trilayer graphene
• Superconductivity in rhombohedral trilayer graphene
• Band Structure of ABC-Stacked Graphene Trilayers
• Isospin magnetism and spin-triplet superconductivity in Bernal bilayer graphene
• Supercurrent diode effect and finite momentum superconductivity
• Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
• Quantum metric-induced nonlinear transport in a topological antiferromagnet
• Trigonal warping and Berry's phase N pi in ABC-stacked multilayer graphene
• Kohn-Luttinger Superconductivity in Twisted Bilayer Graphene
• Chiral Decomposition in the Electronic Structure of Graphene Multilayers
• Spin-Orbit Enhanced Superconductivity in Bernal Bilayer Graphene
• Electron-Phonon Coupling and Raman Spectroscopy in Graphene
• Electron-phonon coupling and electron self-energy in electron-doped graphene: calculation of angular resolved photoemission spectra
• Theory of resonant multiphonon Raman scattering in graphene
• Unconventional superconductivity in nearly flat bands in twisted bilayer graphene
• Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface
• Superconductivity and strong interactions in a tunable moiré quasiperiodic crystal
• Signatures of Chiral Superconductivity in Rhombohedral Graphene
• Inter-valley coherent order and isospin fluctuation mediated superconductivity in rhombohedral trilayer graphene
• Coulomb interaction, phonons, and superconductivity in twisted bilayer graphene
• Unconventional superconductivity in systems with annular Fermi surfaces: Application to rhombohedral trilayer graphene
• Superconductivity and correlated phases in non-twisted bilayer and trilayer graphene
• Coulomb screening and thermodynamic measurements in magic-angle twisted trilayer graphene
• Superconductivity from Repulsive Interactions in Rhombohedral Trilayer Graphene: a Kohn-Luttinger-Like Mechanism
• Superconductivity and quantized anomalous Hall in rhombohedral graphene
• Superconductivity in Twisted Double Bilayer Graphene Stabilized by WSe${}_2$
• Pairing in magic-angle twisted bilayer graphene: role of phonon and plasmon umklapp
• Superconductivity from electronic interactions and spin-orbit enhancement in bilayer and trilayer graphene
• Band Structure and Superconductivity in Twisted Trilayer Graphene
• Spin-triplet superconductivity at the onset of isospin order in biased bilayer graphene
• Multilayer graphenes as a platform for interaction-driven physics and topological superconductivity
• Twist-angle dependence of electron correlations in moiré graphene bilayers
• Functional Renormalization Group Study of Superconductivity in Rhombohedral Trilayer Graphene
• Superconductivity from collective excitations in magic angle twisted bilayer graphene
• Nematicity and Orbital Depairing in Superconducting Bernal Bilayer Graphene with Strong Spin Orbit Coupling
• Microscopic pairing mechanism, order parameter, and disorder sensitivity in moiré superlattices: Applications to twisted double-bilayer graphene
• Unconventional superconductivity due to interband polarization
• Intravalley spin-polarized superconductivity in rhombohedral tetralayer graphene
• Evolution and dimensional crossover from the bulk subbands in ABC-stacked graphene to a three-dimensional Dirac cone structure in rhombohedral graphite
• Superconductivity induced by the inter-valley Coulomb scattering in a few layers of graphene
• Superconductivity and spin canting in spin-orbit proximitized rhombohedral trilayer graphene
• Charge fluctuations, phonons and superconductivity in multilayer graphene
• Evolution of Superconductivity in Twisted Graphene Multilayers
• Quantum Geometric Kohn-Luttinger Superconductivity
• Inducing superconductivity in bilayer graphene by alleviation of the Stoner blockade
• Spin and Charge Fluctuation Induced Pairing in ABCB Tetralayer Graphene
• Nonreciprocal superconductivity
• Chiral $p$-wave superconductivity in twisted bilayer graphene from dynamical mean field theory
• Electronic Structure and Kohn-Luttinger Superconductivity of Heavily-Doped Single-Layer Graphene
• Ising superconductivity induced from spin-selective valley symmetry breaking in twisted trilayer graphene
• Incommensurate inter-valley coherent states in ABC graphene: collective modes and superconductivity
• Competing magnetic states on the surface of multilayer ABC-stacked graphene

Cited by in corpus (15)

• Quarter Metal Superconductivity
• Chiral superconductivity from spin polarized Chern band in twisted MoTe${}_2$
• Probing superconductivity with tunneling spectroscopy in rhombohedral graphene
• Apparent inconsistency between Streda formula and Hall conductivity in reentrant integer quantum anomalous Hall effect in twisted MoTe${}_2$
• Momentum-resolved spectroscopy of superconductivity with the quantum twisting microscope
• Finite-momentum pairing and superlattice superconductivity in valley-imbalanced rhombohedral graphene
• Variational Monte Carlo Optimization of Topological Chiral Superconductors
• Pair density wave in quarter metals from a repulsive fermionic interaction in graphene heterostructures: A renormalization group study
• Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/${\mathbb{Z}}_2^2$ symmetry
• Emblems of pair density waves: dual identity of topological defects and their transport signatures
• Family of multilayer graphene superconductors with tunable chirality: Momentum-space vortices nucleated by a ring of Berry curvature
• Interaction-driven charge textures and unconventional superconductivity in strained monolayer graphene
• Charge density waves and stripes in quarter metals of graphene heterostructures
• Chiral topological superconductivity in twisted bilayer and double bilayer graphene
• Spin-triplet paired Wigner crystal stabilized by quantum geometry