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Formation of Majorana fermions in finite-size graphene strips

Abstract : We investigate the formation of Majorana fermions in finite-size graphene strips with open boundary conditions in both directions, in the presence of an in-plane magnetic field and in the proximity of a superconducting substrate. We show that for long enough strips the Majorana states can form in the presence of a Rashba-like spin-orbit coupling, as well as in the presence of an inhomogeneous magnetic field. We find that, unlike infinite graphene ribbons in which Majorana states arise solely close to the bottom of the band and the Van Hove singularities, for finite-size systems this can happen also at much smaller doping values, close to the Dirac points, and depends strongly on the type of the short edges of the systems (e.g. armchair vs. zigzag).
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Preprints, Working Papers, ...
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https://hal-cea.archives-ouvertes.fr/cea-01494521
Contributor : Emmanuelle de Laborderie <>
Submitted on : Thursday, March 23, 2017 - 3:57:54 PM
Last modification on : Wednesday, September 16, 2020 - 4:33:20 PM

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  • HAL Id : cea-01494521, version 1
  • ARXIV : 1612.00015

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Vardan Kaladzhyan, Cristina Bena. Formation of Majorana fermions in finite-size graphene strips. 2017. ⟨cea-01494521⟩

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