Composite fermion tunneling at moiré TMD/superconductor interfaces

The composite Fermi liquid (CFL) is a strongly interacting metal, where fractionalized fermions form a Fermi sea. Understanding such gapless, strongly correlated phases has proven challenging both experimentally and theoretically. Motivated by the recent discovery of the fractional quantum anomalous Hall effect in moiré materials, we investigate how the tunneling conductance across a point-contact junction between a CFL and an s-wave superconductor can reveal non-Fermi liquid characteristics of the CFL. A surprising yet crucial aspect of our analysis is the presence of a chiral edge boson (the "semion"), responsible for the Hall conductance sigma_xy = 2e^2/h. Despite coexisting alongside gapless composite fermions, this bosonic mode remains stable at low energies and, moreover, dominates the scaling of the tunneling conductance as a function of applied voltage.