Z3 Parafermionic Zero Modes without Andreev Backscattering from the 2/3 Fractional Quantum Hall State

Yahya Alavirad, David Clarke, Amit Nag, and Jay D. Sau
Phys. Rev. Lett. 119, 217701 – Published 20 November 2017
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Abstract

Parafermionic zero modes are a novel set of excitations displaying non-Abelian statistics somewhat richer than that of Majorana modes. These modes are predicted to occur when nearby fractional quantum Hall edge states are gapped by an interposed superconductor. Despite substantial experimental progress, we argue that the necessary crossed Andreev reflection in this arrangement is a challenging milestone to reach. We propose a superconducting quantum dot array structure on a fractional quantum Hall edge that can lead to parafermionic zero modes from coherent superconducting forward scattering on a quantum Hall edge. Such coherent forward scattering has already been demonstrated in recent experiments. We show that for a spin-singlet superconductor interacting with loops of spin unpolarized 2/3 fractional quantum edge, even an array size of order 10 should allow one to systematically tune into a parafermionic degeneracy.

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  • Received 3 February 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.217701

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Yahya Alavirad, David Clarke, Amit Nag, and Jay D. Sau

  • Department of Physics, Condensed Matter Theory Center and the Joint Quantum Institute, University of Maryland, College Park, Maryland 20742, USA

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Issue

Vol. 119, Iss. 21 — 24 November 2017

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