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.

5 pages, 3 figures

References in corpus (4)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Ordering of magnetic impurities and tunable electronic properties of topological insulators
• RKKY interaction in carbon nanotubes and graphene nanoribbons
• Theory of multiple magnetic scattering for quasiparticles on a gapless topological insulator surface

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• Two-impurity helical Majorana problem
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• Yu-Shiba-Rusinov states in a superconductor with topological Z2 bands
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• RKKY interaction in a spin-split superconductor
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• RKKY interaction in graphene at finite temperature
• Subgap modes in two-dimensional magnetic Josephson junctions
• Anomalous Shiba spectrum and superconductivity induced magnetic interactions in materials with topological band inversion
• Exchange tensors, generalized RKKY interactions, and magnetization dynamics in heterostructures of ferromagnets and topological insulators
• Enhancement of Curie Temperature in Ferromagnetic Insulator-Topological Insulator Heterostructures
• Persistent ferromagnetism and topological phase transition at the interface of a superconductor and a topological insulator