# Two-terminal transport along a proximity induced superconducting quantum Hall edge

## TL;DR

This paper investigates how proximity-induced superconductivity affects transport along quantum Hall edges, revealing interference effects in conductance and noise due to Majorana-Weyl fermions with different velocities.

## Contribution

It provides an analytical theory describing interference fringes in conductance and shot noise for quantum Hall edges coupled to superconductors, considering arbitrary pairing profiles.

## Key findings

- Interference fringes observed in conductance and shot noise.
- Spectrum features two Majorana-Weyl fermions with distinct velocities.
- Analytical model applicable to arbitrary smooth pairing profiles.

## Abstract

We study electric transport along an integer quantum Hall edge where the proximity effect is induced due to a coupling to a superconductor. Such an edge exhibits two Majorana-Weyl fermions with different group velocities set by the induced superconducting pairing. We show that this structure of the spectrum results in interference fringes that can be observed in both the two-terminal conductance and shot noise. We develop a complete analytical theory of such fringes for an arbitrary smooth profile of the induced pairing.