Superconducting correlations in a fractional quantum Hall bilayer interface

We consider a fractional quantum Hall bilayer system with an interface between quantum Hall states of filling fractions (0,1) and (1,1/3), motivated by recently fabricated systems by the Heiblum group (Weizmann). We show that disordered tunneling within one of the layers will drive the system to a stable fixed point with two counterpropagating charge modes which have attractive interactions. As a result, superconducting correlations on the edge become slowly-decaying. We discuss the observable effects of the phenomenon and derive general requirements for electron attraction in Abelian quantum Hall states.