Superconductivity and spin canting in spin-orbit proximitized rhombohedral trilayer graphene

Abstract

Graphene and transition metal dichalcogenide flat-band systems show similar phase diagrams, replete with magnetic and superconducting phases. An abiding question has been whether magnetic ordering competes with superconductivity or facilitates pairing. The advent of crystalline graphene superconductors enables a new generation of controlled experiments to probe the microscopic origin of superconductivity. For example, recent studies of Bernal bilayer graphene show a dramatic increase in the observed domain and critical temperature $T_c$ of superconducting states in the presence of enhanced spin-orbit coupling; the mechanism for this enhancement, however, remains unclear. Here, we show that introducing spin-orbit coupling in rhombohedral trilayer graphene (RTG) via substrate proximity effect generates new superconducting pockets for both electron and hole doping, with maximal $T_c\approx$ 300mK three times larger than in RTG encapsulated by hexagonal boron nitride alone. Using local magnetometry and thermodynamic compressibility measurements, we show that superconductivity straddles an apparently continuous transition between a spin-canted state with a finite in-plane magnetic moment and a state with complete spin-valley locking. This transition is reproduced in our Hartree-Fock calculations, where it is driven by the competition between spin-orbit coupling and the carrier-density-tuned Hund's interaction. Our experiment suggests that the enhancement of superconductivity by spin-orbit coupling is driven not by a change in the ground state symmetry or degeneracy but rather by a quantitative change in the canting angle. These results align with a recently proposed mechanism for the enhancement of superconductivity in spin-orbit coupled rhombohedral multilayers, in which fluctuations in the spin-canting order contribute to the pairing interaction.

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Cited by in corpus (13)

• Signatures of Chiral Superconductivity in Rhombohedral Graphene
• Intravalley spin-polarized superconductivity in rhombohedral tetralayer graphene
• Band Renormalization, Quarter Metals, and Chiral Superconductivity in Rhombohedral Tetralayer Graphene
• Angle evolution of the superconducting phase diagram in twisted bilayer WSe2
• Promoting and imaging intervalley coherent order in rhombohedral tetralayer graphene on MoS2
• Visualizing isospin magnetic texture and intervalley exchange interaction in rhombohedral tetralayer graphene
• Nematic Enhancement of Superconductivity in Multilayer Graphene via Quantum Geometry
• Full, three-quarter, half and quarter Wigner crystals in Bernal bilayer graphene
• Variational Monte Carlo Optimization of Topological Chiral Superconductors
• Plasmonic detection of Rashba spin-orbit coupling in monolayer transition-metal dichalcogenides
• Pair density wave in quarter metals from a repulsive fermionic interaction in graphene heterostructures: A renormalization group study
• Spin-orbital magnetism in moiré Wigner molecules
• Charge density waves and stripes in quarter metals of graphene heterostructures