Tunable Majorana fermion from Landau quantization in 2D topological superconductors

R. S. Akzyanov, A. L. Rakhmanov, A. V. Rozhkov, and Franco Nori
Phys. Rev. B 94, 125428 – Published 19 September 2016

Abstract

We study Majorana fermions in a two-dimensional topological superconductor placed in a transverse magnetic-field B. We consider a topological insulator/superconductor heterostructure and a two-dimensional p-wave superconductor. A single field-generated vortex creates two Majorana fermions, one of which is hosted at the vortex core. The wave function of the second Majorana state is localized in the superconductor volume along a circle with a radius of r*B1 centered at the vortex core. In the case of many vortices, the sensitivity of r* to the magnetic field B may be used to control the coupling between the Majorana fermions. The latter property could be an asset for quantum computations.

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  • Received 2 March 2016

DOI:https://doi.org/10.1103/PhysRevB.94.125428

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

R. S. Akzyanov1,2,3, A. L. Rakhmanov1,2,3,4, A. V. Rozhkov1,2,4, and Franco Nori4,5

  • 1Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region 141700, Russia
  • 2Institute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, Moscow 125412, Russia
  • 3Dukhov Research Institute of Automatics, Moscow 127055, Russia
  • 4CEMS, RIKEN, Saitama 351-0198, Japan
  • 5Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA

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Issue

Vol. 94, Iss. 12 — 15 September 2016

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