Instability of Majorana states in Shiba chains due to leakage into a topological substrate
arXiv:2111.02214 · doi:10.1088/1361-648X/ac413f
Abstract
We revisit the problem of Majorana states in chains of scalar impurities deposited on a superconductor with a mixed s-wave and p-wave pairing. We also study the formation of Majorana states for magnetic impurity chains. We find that the magnetic impurity chains exhibit well-localized Majorana states when the substrate is trivial, but these states hybridize and get dissolved in the bulk when the substrate is topological. Most surprisingly, and contrary to previous predictions, the scalar impurity chain does not support fully localized Majorana states except for very small and finely tuned parameter regimes, mostly for a non-topological substrate close to the topological transition. Our results indicate that a purely p-wave or a dominant p-wave substrate are not good candidates to support either magnetic or scalar impurity topological Shiba chains.
References in corpus (20)
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Topological Superconductivity induced by Ferromagnetic Metal Chains
- Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
- Strong localization of Majorana end states in chains of magnetic adatoms
- Topological Yu-Shiba-Rusinov chain from spin-orbit coupling
- Giant spin orbit interaction due to rotating magnetic fields in graphene nanoribbons
- Majorana fermions in ferromagnetic chains on the surface of bulk spin-orbit coupled -wave superconductors
- Interplay of topological phases in magnetic adatom-chains on top of a Rashba superconducting surface
- Self-organized topological state in the magnetic chain on the surface of a superconductor
- Spiral magnetic order and topological superconductivity in a chain of magnetic adatoms on a two-dimensional superconductor
- Majorana Fermions in Magnetic Chains
- Topological properties of helical Shiba chains with general impurity strength and hybridization
- Topological properties of chains of magnetic impurities on a superconducting substrate: Interplay between the Shiba band and ferromagnetic wire limits
- Odd-frequency pair in topological superconductivity of 1D magnetic chain
- How to measure the Majorana polarization of a topological planar Josephson junction
- Josephson Effect between Conventional and Rashba Superconductors
- Tunable topological states hosted by unconventional superconductors with adatoms
- Unconventional topological transitions in a self-organized magnetic ladder
- Hybridization mechanism of the dual proximity effect in superconductor-topological insulator interfaces
- Analytical and semianalytical tools to determine the topological character of Shiba chains