Shiba chains of scalar impurities on unconventional superconductors

Abstract

We show that a chain of nonmagnetic impurities deposited on a fully gapped two- or three-dimensional superconductor can become a topological one-dimensional superconductor with protected Majorana bound states at its end. A prerequisite is that the pairing potential of the underlying superconductor breaks the spin-rotation symmetry, as it is generically the case in systems with strong spin-orbit coupling. We illustrate this mechanism for a spinless triplet-superconductor p+ip and a time-reversal symmetric Rashba superconductor with a mixture of singlet and triplet pairing. For the latter, we show that the impurity chain can be topologically nontrivial even if the underlying superconductor is topologically trivial.

5+5 pages, 3 figures

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• Topological state engineering by potential impurities on chiral superconductors
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• Controlling topological superconductivity by magnetization dynamics
• Supercurrent as a Probe for Topological Superconductivity in Magnetic Adatom Chains
• Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with $d$-wave superconductors
• Quench dynamics of entanglement spectrum and topological superconducting phases in a long-range Hamiltonian
• Tunable topological states hosted by unconventional superconductors with adatoms
• Controlling Majorana hybridization in magnetic chain-superconductor systems
• Topology from Triviality
• Engineering 1D topological phases on $p$-wave superconductors
• Dynamical Shiba states by precessing magnetic moments in an s-wave superconductor
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• Information geometric analysis of long range topological superconductors
• Instability of Majorana states in Shiba chains due to leakage into a topological substrate
• Band twisting and resilience to disorder in long-range topological superconductors
• Symmetry-protected topological wire in a topological vacuum