Superconducting correlations out of repulsive interactions on a fractional quantum Hall edge

Abstract

We consider a fractional quantum Hall bilayer system with an interface between quantum Hall states of filling fractions $({\nu }_{\text{top}},{\nu }_{\text{bottom}})=(1,1)$ and $(1/3,2)$, motivated by a recent approach to engineering artificial edges~\cite{2018NatPh..14..411R}. We show that random tunneling and strong repulsive interactions 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, slowly decaying correlations on the edge become predominantly superconducting. We discuss the resulting observable effects, and derive general requirements for electron attraction in Abelian quantum Hall states. The broader interest in fractional quantum Hall edge with quasi-long range superconducting order lies in the prospects of hosting exotic anyonic boundary excitations, that may serve as a platform for topological quantum computation.

Improved presentation, version published in Phys. Rev. Lett

References in corpus (9)

• Non-Abelian Anyons and Topological Quantum Computation
• Exotic non-Abelian anyons from conventional fractional quantum Hall states
• Fractionalizing Majorana fermions: non-abelian statistics on the edges of abelian quantum Hall states
• Superconducting Proximity Effect on the Edge of Fractional Topological Insulators
• Fractional topological superconductors with fractionalized Majorana fermions
• Electron Attraction Mediated by Coulomb Repulsion
• Experimental probe of topological orders and edge excitations in the second Landau level
• Coulomb blockade with neutral modes
• Superconducting correlations out of repulsive interactions on a fractional quantum Hall edge

Cited by in corpus (2)

• Superconducting correlations out of repulsive interactions on a fractional quantum Hall edge
• Operator correlations in a quenched non-Hermitian Luttinger liquid