Electrically controlled crossover between 2π and 4π Josephson effects through topologically confined channels in silicene

Daniel Frombach, Sunghun Park, Alexander Schroer, and Patrik Recher
Phys. Rev. B 98, 205305 – Published 26 November 2018

Abstract

We propose a tunable topological Josephson junction in silicene where electrostatic gates could switch between a trivial and a topological junction. These aspects are a consequence of a tunable phase transition of the topologically confined valley-chiral states from a spin-degenerate to a spin-helical regime. We calculate the Andreev bound states in such a junction analytically using a low-energy approximation to the tight-binding model of silicene in proximity to s-wave superconductors as well as numerically in the short- and long-junction regime and in the presence of intervalley scattering. Combining topologically trivial and nontrivial regions, we show how intervalley scattering can be effectively switched on and off within the Josephson junction. This constitutes a topological Josephson junction with an electrically tunable quasiparticle poisoning source.

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  • Received 8 August 2018
  • Revised 25 October 2018

DOI:https://doi.org/10.1103/PhysRevB.98.205305

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Daniel Frombach1, Sunghun Park2, Alexander Schroer1, and Patrik Recher1,3

  • 1Institut für Mathematische Physik, Technische Universität Braunschweig, D-38106 Braunschweig, Germany
  • 2Departamento de Física Teórica de la Materia Condensada, Condensed Matter Physics Center (IFIMAC) and Instituto Nicolás Cabrera, Universidad Autónoma de Madrid, Spain
  • 3Laboratory for Emerging Nanometrology Braunschweig, D-38106 Braunschweig, Germany

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Issue

Vol. 98, Iss. 20 — 15 November 2018

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