Topological π Junctions from Crossed Andreev Reflection in the Quantum Hall Regime

F. Finocchiaro, F. Guinea, and P. San-Jose
Phys. Rev. Lett. 120, 116801 – Published 15 March 2018
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Abstract

We consider a two-dimensional electron gas (2DEG) in the quantum Hall regime in the presence of a Zeeman field, with the Fermi level tuned to a filling factor of ν=1. We show that, in the presence of spin-orbit coupling, contacting the 2DEG with a narrow strip of an s-wave superconductor produces a topological superconducting gap along the contact as a result of crossed Andreev reflection (CAR) processes across the strip. The sign of the topological gap, controlled by the CAR amplitude, depends periodically on the Fermi wavelength and strip width and can be externally tuned. An interface between two halves of a long strip with topological gaps of opposite sign implements a robust π junction, hosting a pair of Majorana zero modes that do not split despite their overlap. We show that such a configuration can be exploited to perform protected non-Abelian tunnel-braid operations without any fine tuning.

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  • Received 26 September 2017

DOI:https://doi.org/10.1103/PhysRevLett.120.116801

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsQuantum Information, Science & Technology

Authors & Affiliations

F. Finocchiaro1,2, F. Guinea2,3, and P. San-Jose1

  • 1Materials Science Factory, ICMM-CSIC, Sor Juana Ines de La Cruz 3, 28049 Madrid, Spain
  • 2IMDEA Nanociencia, Calle de Faraday 9, 28049 Madrid, Spain
  • 3Department of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom

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Issue

Vol. 120, Iss. 11 — 16 March 2018

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