Formation of Majorana fermions in finite-size graphene strips

@article{Kaladzhyan2016FormationOM,
  title={Formation of Majorana fermions in finite-size graphene strips},
  author={Vardan Kaladzhyan and Cristina Bena},
  journal={arXiv: Superconductivity},
  year={2016}
}
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… 
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References

SHOWING 1-10 OF 64 REFERENCES
Majorana fermions in honeycomb lattices
We study the formation of Majorana fermions in honeycomb-lattice structures in the presence of a Zeeman field, Rashba spin-orbit coupling, and in the proximity of an s-wave superconductor. We show
Majorana Zero Modes in Graphene
A clear demonstration of topological superconductivity (TS) and Majorana zero modes remains one of the major pending goal in the field of topological materials. One common strategy to generate TS is
Giant Spin-Orbit Interaction Due to Rotating Magnetic Fields in Graphene Nanoribbons
We study graphene nanoribbons theoretically in the presence of spatially varying magnetic fields produced, e.g., by nanomagnets. We show, both analytically and numerically, that an exceptionally
Majorana fermions and a topological phase transition in semiconductor-superconductor heterostructures.
TLDR
The measurement of the supercurrent through the junction allows one to discern topologically distinct phases and observe a topological phase transition by simply changing the in-plane magnetic field or the gate voltage, which will be a direct demonstration of the existence of Majorana particles.
Quantum spin Hall effect in graphene.
TLDR
Graphene is converted from an ideal two-dimensional semimetallic state to a quantum spin Hall insulator and the spin and charge conductances in these edge states are calculated and the effects of temperature, chemical potential, Rashba coupling, disorder, and symmetry breaking fields are discussed.
Spin-orbit splitting in graphene on metallic substrates.
TLDR
The small spin-orbit splitting induced by the Ag substrates indicates that heavy metals do not always produce large SO splitting, and provides important insights that are useful for understanding the metal-induced Rashba effect in graphene.
Composite Majorana fermion wave functions in nanowires
We consider Majorana fermions (MFs) in quasi-one-dimensional nanowire systems containing normal and superconducting sections where the topological phase based on Rashba spin-orbit interaction can be
Intrinsic and Rashba spin-orbit interactions in graphene sheets
Starting from a microscopic tight-binding model and using second-order perturbation theory, we derive explicit expressions for the intrinsic and Rashba spin-orbit interaction induced gaps in the
Majorana fermions in superconducting helical magnets
In a variety of rare-earth-based compounds, singlet superconductivity coexists with helical magnetism. Here we demonstrate that surfaces of these systems should generically host a finite density of
Topological phases of quasi-one-dimensional fermionic atoms with a synthetic gauge field
We theoretically investigate the effect of intertube tunneling in topological superfluid phases of a quasi-one-dimensional Fermi gas with a Rashba-type spin–orbit interaction. It is shown that the
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