Topological superconducting phase in helical Shiba chains

Abstract

Recently, it has been suggested that topological superconductivity and Majorana end states can be realized in a chain of magnetic impurities on the surface of an s-wave superconductor when the magnetic moments form a spin helix as a result of the RKKY interaction mediated by the superconducting substrate. Here, we investigate this scenario theoretically by developing a tight-binding Bogoliubov-de Gennes description starting from the Shiba bound states induced by the individual magnetic impurities. While the resulting model Hamiltonian has similarities with the Kitaev model for one-dimensional spinless p-wave superconductors, there are also important differences, most notably the long-range nature of hopping and pairing as well as the complex hopping amplitudes. We use both analytical and numerical approaches to explore the consequences of these differences for the phase diagram and the localization properties of the Majorana end states when the Shiba chain is in a topological superconducting phase.

arXiv comment14 pages, 9 figures, minor changes, references added; published version

References in corpus (29)

• Fault-tolerant quantum computation by anyons
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• 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
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Helical liquids and Majorana bound states in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Search for Majorana fermions in superconductors
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• Majorana fermions in chains of magnetic atoms on a superconductor
• 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
• 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
• Impurity-Induced Bound Excitations on the Surface of Bi2Sr2CaCu2O8
• Majorana fermions in superconducting helical magnets
• Manipulating Majorana fermions using supercurrents
• Spin glass versus superconductivity
• Magneto-Josephson effects in junctions with Majorana bound states
• Absence of spontaneous magnetic order of lattice spins coupled to itinerant interacting electrons in one and two dimensions

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