Tuning topological superconductivity in helical Shiba chains by supercurrent
arXiv:1406.4288 · doi:10.1103/PhysRevB.90.180503
Abstract
Recent experimental investigations of arrays of magnetic atoms deposited on top of a superconductor have opened a new chapter in the search of topological superconductivity. We generalize the microscopic model derived by Pientka et al. [Phys. Rev. B \textbf{88}, 155420 (2013)] to accommodate the effects of finite supercurrent in the host material. Previously it was discovered that helical chains with nonplanar textures are plagued by a gapless phase. We show that by employing supercurrent it is possible to tune the chain from the gapless phase to the topological gapped phase. It is also possible to tune the chain between the trivial and the topological gapped phase, the size of which may be dramatically increased due to supercurrent. For planar textures supercurrent mainly contributes to proliferation of the gapless phase. Our predictions, which can be probed in STM experiments, are encouraging for observation and manipulation of Majorana states.
arXiv comment4.5 pages, 4 figures+2 pages appendix
References in corpus (30)
- Topological insulators and superconductors
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Anyons in an exactly solved model and beyond
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Classification of topological insulators and superconductors in three spatial dimensions
- Helical liquids and Majorana bound states in quantum wires
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Majorana fermions in chains of magnetic atoms on a superconductor
- Topological Superconductivity and Majorana Fermions in RKKY Systems
- Topological superconducting phase in helical Shiba chains
- Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
- Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
- Self-Organized Topological State with Majorana Fermions
- Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
- Majorana fermions in superconducting nanowires without spin-orbit coupling
- Information transfer by vector spin chirality in finite magnetic chains
- Transition from fractional to Majorana fermions in Rashba nanowires
- Majorana states in helical Shiba chains and ladders
- Unconventional topological phase transitions in helical Shiba chains
- Majorana fermions from Shiba states in an antiferromagnetic chain on top of a superconductor
- Manipulating Majorana fermions using supercurrents
- Helical modes in carbon nanotubes generated by strong electric fields
- Self-organized topological state in the magnetic chain on the surface of a superconductor
- Majorana states and devices in magnetic structures
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- Topological Yu-Shiba-Rusinov chain from spin-orbit coupling
- Correlation Length, Universality Classes, and Scaling Laws Associated with Topological Phase Transitions
- Interplay of topological phases in magnetic adatom-chains on top of a Rashba superconducting surface
- Majorana Edge States in Superconductor/Noncollinear Magnet Interfaces
- Topological properties of helical Shiba chains with general impurity strength and hybridization
- Scaling Theory of Topological Phase Transitions
- Chern mosaic - topology of chiral superconductivity on ferromagnetic adatom lattices
- Self-stabilizing temperature driven crossover between topological and non-topological ordered phases in one-dimensional conductors
- Controlling Majorana states in topologically inhomogeneous superconductors
- Scaling Theory of Topological Invariants
- Topological superconductivity in ferromagnetic atom chains beyond the deep-impurity regime
- Majorana Bound States in Double Nanowires with Reduced Zeeman Thresholds due to Supercurrents
- Topological superconductivity in Rashba semiconductors without a Zeeman field
- Topological state engineering by potential impurities on chiral superconductors
- Magnetoelectric coupling in superconductor-helimagnet heterostructures
- Majorana fermion fingerprints in spin-polarised scanning tunneling microscopy
- Chiral symmetries and Majorana fermions in coupled magnetic atomic chains on a superconductor
- Collective Yu-Shiba-Rusinov states in magnetic clusters at superconducting surfaces
- Supercurrent as a Probe for Topological Superconductivity in Magnetic Adatom Chains
- Non-Kondo many-body physics in a Majorana-based Kondo type system
- Topological superconductivity and anti-Shiba states in disordered chains of magnetic adatoms
- Off-diagonal long-range order in the ground state of the Kitaev chain
- Zero energy modes in a superconductor with ferromagnetic adatom chains and quantum phase transitions
- Subgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. I. Continuum description
- Platform for controllable Majorana zero modes using superconductor/ferromagnet heterostructures
- Subgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. II. Topological classification
- Boundary states in the chiral symmetric systems with a spatial symmetry
- Polarity of the fermionic condensation in the -wave Kitaev model on a square lattice
- Supercurrent effect in a charge density wave intertwined superconductor