Screening current enabled Andreev reflection in a chiral quantum Hall edge state

The phenomenon of induced superconductivity in a spin-polarized chiral quantum Hall edge state through the superconducting proximity effect is currently under investigation due to the macroscopy and stability of the involved quantum phenomena, which has lead to predicted applications in quantum technology. Recent experiments have observed the phenomenon through signatures of the mediating process of Andreev reflection, but lack support in theoretical works. We address this by modelling the system with a many-body Hamiltonian motivated by experiments, and integrate out the superconductor to get an effective pairing Hamiltonian in the quantum Hall edge state. In addition to clarifying the qualitative appearance of nonlocal superconducting correlations in a chiral edge state, we predict the effect of quantitative experimental conditions on these correlations. In particular, it follows how the induced screening current induced by the Meissner effect at the surface of the superconductor plays an essential role for the chiral Andreev reflection.