Three-quarter-metal phase and spin-canted phases in spin-orbit proximitized rhombohedral graphene

We investigate Stoner-type correlated states in rhombohedral trilayer graphene (RTG) proximitized by transition metal dichalcogenide (TMD) layers. The Ising-type spin-orbit coupling (SOC) introduced by TMD qualitatively modifies the competing phases and phase diagram of the system. Using the Hartree-Fock approximation, we find that SOC can stabilize a three-quarter-metal phase. Additionally, a spin-canted half-metal phase emerges across a wide range of SOC strengths. Spin canting can also appear in the quarter- and three-quarter-metal regimes when the SOC strength and the valley interchange interaction are comparable. Matching well with the experimental observations, our calculated phase diagram reveals a cascade of Stoner phases induced or enriched by the TMD proximity effect.