Emerging Dirac and Majorana fermions for carbon nanotubes with proximity-induced pairing and spiral magnetic field

Abstract

We study the low-energy bandstructure of armchair and small-bandgap semiconducting carbon nanotubes with proximity-induced superconducting pairing when a spiral magnetic field creates strong effective spin-orbit interactions from the Zeeman term and a periodic potential from the orbital part. We find that gapless Dirac fermions can be generated by variation of a single parameter. For a semiconducting tube with the field in the same plane, a non-degenerate zero mode at momentum k=0 can be induced, allowing for the generation of topologically protected Majorana fermion end states.

To appear in PRB

References in corpus (16)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Coupling of Spin and Orbital Motion of Electrons in Carbon Nanotubes
• Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Majorana edge states in interacting one-dimensional systems
• Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
• Nuclear Magnetism and Electronic Order in 13C Nanotubes
• Superconductivity-enhanced bias spectroscopy in carbon nanotube quantum dots
• Electron properties of carbon nanotubes in a periodic potential
• Theory of the electronic and transport properties of graphene under a periodic electric or magnetic field
• Double-gap superconducting proximity effect in nanotubes

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• Majorana Bound States Induced by Antiferromagnetic Skyrmion Textures
• Aspects of topological superconductivity in 2D systems: noncollinear magnetism, skyrmions, and higher-order topology
• Planar Josephson junctions in germanium: Effect of cubic spin-orbit interaction
• Topology and zero energy edge states in carbon nanotubes with superconducting pairing
• Designing spin-textured flat bands in twisted graphene multilayers via helimagnet encapsulation
• Topological superconductivity in a magnetic-texture coupled Josephson junction
• Controlling magnetic frustration in 1T-TaS${}_2$ via Coulomb engineered long-range interactions
• Supercurrent and phase slips in a ballistic carbon nanotube embedded into a van der Waals heterostructure
• Single and multi-frequency driving protocols in a Rashba nanowire proximitized to an s-wave superconductor
• Staggered spin-orbit interaction in a nanoscale device
• Odd-frequency Pairing in Josephson Junctions Coupled by Magnetic Textures