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…
Figures from this paper
9 Citations
Suppression of the overlap between Majorana fermions by orbital magnetic effects in semiconducting-superconducting nanowires
- Physics
- 2018
We study both analytically and numerically the role of orbital effects caused by a magnetic field applied along the axis of a semiconducting Rashba nanowire in the topological regime hosting Majorana…
Majorana bound states in a superconducting Rashba nanowire in the presence of antiferromagnetic order
- Physics
- 2021
Theoretical studies have shown that Majorana bound states can be induced at the ends of a one-dimensional wire, a phenomenon possible due to the interplay between $s$-wave superconductivity,…
Bending effect on the Majorana bound states in planar Josephson junctions
- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2021
We consider the bending effect on the formation of Majorana bound states (MBSs) in planar Josephson junctions where the normal stripe is tilted in a V shape. Our results show that the MBSs remain…
Efficient identification of Majorana modes in large tight-binding systems
- Physics
- 2020
Low dimensional structures in the non-trivial topological phase can host the in-gap Majorana bound states identified experimentally as zero-bias peaks in differential conductance. Theoretical methods…
Topology from triviality
- Physics
- 2018
We show that bringing into proximity two topologically trivial systems can give rise to a topological phase. More specifically, we study a 1D metallic nanowire proximitized by a 2D superconducting ...
Spin polarisation and topological properties of Yu-Shiba-Rusinov states
- Physics
- 2017
Dans ce manuscrit de these, nous revisitons d'abord la physique des etats de Yu-Shiba-Rusinov, en nous concentrant sur leur polarisation en spin. Nous commencons par montrer theoriquement que nous…
Identification of the Majorana edge modes in tight-binding systems based on the Krylov method.
- Physics
- 2020
One-dimensional topological superconductivity at the edges of twisted bilayer graphene nanoribbons
- PhysicsPhysical Review B
- 2019
References
SHOWING 1-10 OF 64 REFERENCES
Majorana fermions in honeycomb lattices
- Physics
- 2013
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
- Physics
- 2015
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
- Physics
- 2013
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.
- PhysicsPhysical review letters
- 2010
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.
- PhysicsPhysical review letters
- 2005
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.
- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2011
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
- Physics
- 2012
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
- Physics
- 2006
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
- Physics
- 2012
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
- Physics
- 2013
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…