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

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.

4 pages, 1 figure (3 subfigures); new title and abstract; new discussion of the quantum entangled fixed point; final manuscript as published