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.
Majorana fermions in superconducting nanowires without spin-orbit coupling
