RKKY Interaction On Surfaces of Topological Insulators With Superconducting Proximity Effect

Abstract

We consider the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities on the surface of a three-dimensional topological insulator with proximity induced superconductivity. A superconductor placed on the top of the topological insulator induces a gap in the surface electron states and gives rise to a long-ranged in-plane antiferromagnetic RKKY interaction. This interaction is frustrated due to strong spin-orbit coupling, decays as $1/r$ for $r<\xi$, where $r$ is the distance between two magnetic impurities and $\xi$ the superconducting coherence length, and dominates over the ferromagnetic and Dzyaloshinskii-Moriya type interactions for $r>\xi$. We find the condition for the Yu-Shiba-Rusinov intragap states that are bound to the magnetic impurities.

arXiv comment5 pages, 3 figures

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• Yu-Shiba-Rusinov States and Ordering of Magnetic Impurities Near the Boundary of a Superconducting Nanowire
• Yu-Shiba-Rusinov states in a superconductor with topological Z2 bands
• Suppression of transport spin-polarization of surface states with emergence of ferromagnetism in Mn-doped Bi2Se3
• On the Sign of Fermion-Mediated Interactions
• Selective generation and amplification of RKKY interactions by P-N interface
• Non-exponential long-range interaction of magnetic impurities in spin-orbit coupled superconductors
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• Spin Stiffness and Domain Walls in Dirac-Electron Mediated Magnets
• RKKY interaction at helical edges of topological superconductors
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• In-gap states of magnetic impurity in quantum spin Hall insulator proximitized to a superconductor
• Anomalous Shiba spectrum and superconductivity induced magnetic interactions in materials with topological band inversion
• Tuning topological surface magnetism by bulk alloying
• Enhancement of Curie Temperature in Ferromagnetic Insulator-Topological Insulator Heterostructures
• Surface chiral superconductivity in odd-parity nematic superconductors with magnetic impurities
• Exchange tensors, generalized RKKY interactions, and magnetization dynamics in heterostructures of ferromagnets and topological insulators
• Current response of a topological insulator to a static Zeeman field
• Persistent ferromagnetism and topological phase transition at the interface of a superconductor and a topological insulator