Topological state engineering by potential impurities on chiral superconductors

Abstract

In this work we consider the influence of potential impurities deposited on top of two-dimensional chiral superconductors. As discovered recently, magnetic impurity lattices on an $s$-wave superconductor may give rise to a rich topological phase diagram. We show that similar mechanism takes place in chiral superconductors decorated by non-magnetic impurities, thus avoiding the delicate issue of magnetic ordering of adatoms. We illustrate the method by presenting the theory of potential impurity lattices embedded on chiral $p$-wave superconductors. While a prerequisite for the topological state engineering is a chiral superconductor, the proposed procedure results in vistas of nontrivial descendant phases with different Chern numbers.

4.5+5 pages

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Cited by in corpus (20)

• RKKY interaction on the surface of three-dimensional Dirac semimetals
• Chiral Topological Superconductors Enhanced by Long-Range Interactions
• Topological properties of chains of magnetic impurities on a superconducting substrate: Interplay between the Shiba band and ferromagnetic wire limits
• On the bulk boundary correspondence and the existence of Majorana bound states on the edges of 2D topological superconductors
• Asymptotic behavior of impurity-induced bound states in low-dimensional topological superconductors
• Skyrmion-induced subgap states in p-wave superconductors
• Formation of Majorana fermions in finite-size graphene strips
• Controlling topological superconductivity by magnetization dynamics
• Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with $d$-wave superconductors
• Engineering of Chern insulators and circuits of topological edge states
• Electron correlation effects in superconducting nanowires in and out of equilibrium
• Tunable topological states hosted by unconventional superconductors with adatoms
• Anomalous Hall effect in single-band chiral superconductors from impurity superlattices
• Engineering 1D topological phases on $p$-wave superconductors
• Topology from Triviality
• Magnetic impurities along the edge of a quantum spin Hall insulator: Realizing a one-dimensional AIII insulator
• Instability of Majorana states in Shiba chains due to leakage into a topological substrate
• Disorder-induced currents as signatures of chiral superconductivity
• Band twisting and resilience to disorder in long-range topological superconductors
• Chiral $p-$wave superconductivity in Pb${}_{1-x}$Sn${}_x$Te: signatures from bound-state spectra and wavefunctions