Superconducting Correlations Out of Repulsive Interactions on a Fractional Quantum Hall Edge

Jukka I. Väyrynen; Moshe Goldstein; Yuval Gefen

doi:10.1103/PhysRevLett.122.236802

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Superconducting Correlations Out of Repulsive Interactions on a Fractional Quantum Hall Edge

Jukka I. Väyrynen, Moshe Goldstein, Yuval Gefen

DOI 10.1103/PhysRevLett.122.236802 · Physical Review Letters

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Abstract

We consider a fractional quantum Hall bilayer system with an interface between quantum Hall states of filling fractions (νtop,νbottom)=(1,1) and (1/3,2), motivated by a recent approach to engineering artificial edges [Y. Ronen et al., Nat. Phys. 14, 411 (2018)]. 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, which may serve as a platform for topological quantum computation.