Renormalization of the Majorana bound state decay length in a perpendicular magnetic field

M. P. Nowak and P. Wójcik
Phys. Rev. B 97, 045419 – Published 17 January 2018

Abstract

Orbital effects of a magnetic field in a proximitized semiconductor nanowire are studied in the context of the spatial extent of Majorana bound states. We develop an analytical model that explains the impact of concurring effects of paramagnetic coupling of the nanowire bands via the kinetic energy operator and spin-orbit interaction on the Majorana modes. We find that the perpendicular field, so far considered to be detrimental to the Majorana fermion formation, is, in fact, helpful in establishing the topological zero-energy modes in a finite system due to significant decrease in the Majorana decay length.

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  • Received 21 November 2017

DOI:https://doi.org/10.1103/PhysRevB.97.045419

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

M. P. Nowak1 and P. Wójcik2

  • 1AGH University of Science and Technology, Academic Centre for Materials and Nanotechnology, al. A. Mickiewicza 30, 30-059 Krakow, Poland
  • 2AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, al. A. Mickiewicza 30, 30-059 Krakow, Poland

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Issue

Vol. 97, Iss. 4 — 15 January 2018

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