Finite temperature properties of half-metals in rhombohedral multilayer graphene

Recent experiments on rhombohedral multilayer graphene have identified a class of magnetic metals known as half-metals (Zhou et al., 2021). These half-metals spontaneously break the time-reversal symmetry, selectively occupying two of the four available spin-valley flavors. Intriguingly, when a half-metal is proximitized to WSe2, recent studies by Patterson et al (arXiv:2408.10190) reveal that an unconventional superconductivity can emerge, with properties dependent on the spin canting angle of the half-metal state. Motivated by these findings, we propose a simple model to explore the finite temperature behavior of half-metals in rhombohedral multilayer graphene, employing Monte Carlo methods to study spin excitations. We further comment on how these excitations may relate to the emergence of superconductivity.