Cooper pair tunneling in junctions of singlet quantum Hall states and superconductors

TL;DR

This paper proposes a new type of tunnel junction between a Hall bar and a superconductor to observe Cooper-pair tunneling into singlet fractional quantum Hall edge states, revealing information about spin polarization and filling factors.

Contribution

It introduces a novel experimental setup for probing singlet fractional quantum Hall states via Cooper-pair tunneling, highlighting a unique quantum entangled fixed point.

Findings

Potential to measure spin polarization and filling factors accurately

Identification of a novel quantum entangled fixed point in the low energy regime

Provides a new method for studying quantum Hall-superconductor interfaces

Abstract

We propose tunnel junctions of a Hall bar and a superconducting lead, for observing Cooper-pair tunneling into singlet fractional quantum Hall edge states. These tunnel junctions provide a natural means of extracting precise information of the spin polarization and the filling factor of the state. The low energy regime of one of the set-ups is governed by a novel quantum entangled fixed point.