Experimental clarification of VHS in the quarter-metal regime of rhombohedral pentalayer graphene

Ascertain whether van Hove singularities occur within the quarter-metal regime of rhombohedral pentalayer graphene to determine if intravalley spin-polarized superconductivity can emerge in that system, given the current lack of experimental characterization.

Background

The authors identify van Hove singularities within a quarter-metal regime as a key condition enabling intravalley spin-polarized superconductivity in rhombohedral multilayer graphene. They note that Bernal bilayer and rhombohedral trilayer do not exhibit suitable VHS in quarter-metal phases.

For rhombohedral pentalayer graphene, they state that the situation is unclear due to limited experimental data and add that the existence of intravalley superconductivity depends on whether VHS is present in the quarter-metal regime. (A later note added mentions new experimental observation of intravalley SC in pentalayer graphene, but the VHS condition remains the determining factor in their framework.)

References

The situation of rhombohedral pentalayer graphene is unclear due to lack of experimental characterization. The existence of intravalley SC in the rhombohedral pentalayer graphene depends on whether the VHS can be found in the quarter-metal regime.

Intravalley spin-polarized superconductivity in rhombohedral tetralayer graphene  (2409.06701 - Chou et al., 2024) in Section 7 (Discussion)