Erratum: Majorana fermions in superconducting nanowires without spin-orbit coupling [Phys. Rev. B85, 020503(R) (2012)]

2014 ◽  
Vol 90 (5) ◽  
Author(s):  
Morten Kjaergaard ◽  
Konrad Wölms ◽  
Karsten Flensberg
Keyword(s):  
Orbit Coupling ◽  
Majorana Fermions ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Superconducting Nanowires

scholarly journals Formation of Majorana fermions in finite-size graphene strips

2017 ◽  
Vol 3 (1) ◽  
Author(s):  
Vardan Kaladzhyan ◽  
Cristina Bena
Keyword(s):  
Magnetic Field ◽  
Boundary Conditions ◽  
Finite Size ◽  
Inhomogeneous Magnetic Field ◽  
Orbit Coupling ◽  
Open Boundary ◽  
Majorana Fermions ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Open Boundary Conditions

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), as well as on the width of the ribbons.

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