SNS junctions in nanowires with spin-orbit coupling: Role of confinement and helicity on the subgap spectrum

Jorge Cayao, Elsa Prada, Pablo San-Jose, and Ramón Aguado
Phys. Rev. B 91, 024514 – Published 29 January 2015

Abstract

We study normal transport and the subgap spectrum of superconductor-normal-superconductor (SNS) junctions made of semiconducting nanowires with strong Rashba spin-orbit coupling. We focus, in particular, on the role of confinement effects in long ballistic junctions. In the normal regime, scattering at the two contacts gives rise to two distinct features in conductance: Fabry-Perot resonances and Fano dips. The latter arise in the presence of a strong Zeeman field B that removes a spin sector in the leads (helical leads), but not in the central region. Conversely, a helical central region between nonhelical leads exhibits helical gaps of half-quantum conductance, with superimposed helical Fabry-Perot oscillations. These normal features translate into distinct subgap states when the leads become superconducting. In particular, Fabry-Perot resonances within the helical gap become parity-protected zero-energy states (parity crossings), well below the critical field Bc at which the superconducting leads become topological. As a function of Zeeman field or Fermi energy, these zero modes oscillate around zero energy, forming characteristic loops, which evolve continuously into Majorana bound states as B exceeds Bc. The relation with the physics of parity crossings of Yu-Shiba-Rusinov bound states is discussed.

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  • Received 27 October 2014
  • Revised 13 January 2015

DOI:https://doi.org/10.1103/PhysRevB.91.024514

©2015 American Physical Society

Authors & Affiliations

Jorge Cayao1, Elsa Prada2, Pablo San-Jose1, and Ramón Aguado1

  • 1Instituto de Ciencia de Materiales de Madrid (ICMM-CSIC), Cantoblanco, 28049 Madrid, Spain
  • 2Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain

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Issue

Vol. 91, Iss. 2 — 1 January 2015

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