Non-local induced pairing in chiral edge states*

A superconductor in contact with a quantum Hall material will induce fundamentally non-local superconducting correlations in the quantum Hall edge state through the proximity effect. Such correlations are often put into models by hand in local approximations, but by building a model without assumed locality we are able predict the strength and non-local spatio-temporal behaviour of the correlation. Accurately modelling this correlation allows us to treat geometries of experimental interest and predict the behavior of interesting effects such as crossed Andreev reflection. This is relevant for several recent experiments, and the treated hybridized state has been proposed as part of a system hosting non-Abelian anyonic zero modes.