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.

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

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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