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

08:00 EDT 14th June 2019 | BioPortfolio

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

We consider a fractional quantum Hall bilayer system with an interface between quantum Hall states of filling fractions (ν_{top},ν_{bottom})=(1,1) and (1/3,2), motivated by a recent approach to engineering artificial edges [Y. Ronen et al., Nat. Phys. 14, 411 (2018)NPAHAX1745-247310.1038/s41567-017-0035-2]. 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.

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This article was published in the following journal.

Name: Physical review letters
ISSN: 1079-7114
Pages: 236802

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