Collective Yu-Shiba-Rusinov states in magnetic clusters at superconducting surfaces

Abstract

We study the properties of collective Yu-Shiba-Rusinov (YSR) states generated by multiple magnetic adatoms (clusters) placed on the surface of a superconductor. For magnetic clusters with equal distances between their constituents, we demonstrate the formation of effectively spin-unpolarized YSR states with subgap energies independent of the spin configuration of the magnetic impurities. We solve the problem analytically for arbitrary spin structure and analyze both spin-polarized (dispersive energy levels) and spin-unpolarized (pinned energy levels) solutions. While the energies of the spin-polarized solutions can be characterized solely by the net magnetic moment of the cluster, the wave functions of the spin-unpolarized solutions effectively decouple from it. This decoupling makes them stable against thermal fluctuation and detectable in scanning tunneling microscopy experiments.

arXiv comment7 pages 3 figures

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Cited by in corpus (11)

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• Quantum magnetism and topological superconductivity in Yu-Shiba-Rusinov chains
• Quantum Yu-Shiba-Rusinov dimers
• Coupling of Yu-Shiba-Rusinov states in 1D chains of Fe atoms on Nb(110)
• Connection between zero-energy Yu-Shiba-Rusinov states and 0-$\pi$ transitions in magnetic Josephson junctions
• Wave-function engineering on superconducting substrates: Chiral Yu-Shiba-Rusinov molecules
• Enhanced Majorana bound states in magnetic chains on superconducting topological insulator edges
• Yu-Shiba-Rusinov States and Ordering of Magnetic Impurities Near the Boundary of a Superconducting Nanowire
• In-gap states of magnetic impurity in quantum spin Hall insulator proximitized to a superconductor
• Scalable Effective Models for Superconducting Nanostructures: Applications to Double, Triple, and Quadruple Quantum Dots
• Yu-Shiba-Rusinov multiplets and clusters of multiorbital adatoms in superconducting substrates: Subgap Green's function approach