Spin-orbit coupling induced splitting of Yu-Shiba-Rusinov states in antiferromagnetic dimers

Abstract

Magnetic atoms coupled to the Cooper pairs of a superconductor induce Yu-Shiba-Rusinov states (in short Shiba states). In the presence of sufficiently strong spin-orbit coupling, the bands formed by hybridization of the Shiba states in ensembles of such atoms can support low-dimensional topological superconductivity with Majorana bound states localized on the ensembles' edges. Yet, the role of spin-orbit coupling for the hybridization of Shiba states in dimers of magnetic atoms, the building blocks for such systems, is largely unexplored. Here, we reveal the evolution of hybridized multi-orbital Shiba states from a single Mn adatom to artificially constructed ferromagnetically and antiferromagnetically coupled Mn dimers placed on a Nb(110) surface. Upon dimer formation, the atomic Shiba orbitals split for both types of magnetic alignment. Our theoretical calculations attribute the unexpected splitting in antiferromagnetic dimers to spin-orbit coupling and broken inversion symmetry at the surface. Our observations point out the relevance of previously unconsidered factors on the formation of Shiba bands and their topological classification.

22 pages Main Text with 4 Figures and 2 Tables, 29 pages Supplementary Information

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Cited by in corpus (43)

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• Two-dimensional Shiba lattices as possible platform for crystalline topological superconductivity
• Yu-Shiba-Rusinov states in real metals
• Yu-Shiba-Rusinov qubit
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• Atomic Manipulation of In-gap States on the $\beta$-Bi${}_2$Pd Superconductor
• Generalized atomic limit of a double quantum dot coupled to superconducting leads
• From Cooper pair splitting to the non-local spectroscopy of a Shiba state
• Coupling of Yu-Shiba-Rusinov states in 1D chains of Fe atoms on Nb(110)
• Quantum Yu-Shiba-Rusinov dimers
• Density functional Bogoliubov-de Gennes analysis of superconducting Nb and Nb(110) surfaces
• Testing the topological nature of end states in antiferromagnetic atomic chains on superconductors
• Relativistic first principles theory of Yu--Shiba--Rusinov states applied to an Mn adatom and Mn dimers on Nb(110)
• Majorana quasiparticles in atomic spin chains on superconductors
• Engineering anomalous Floquet Majorana modes and their time evolution in helical Shiba chain
• Yu-Shiba-Rusinov states in 2D superconductors with arbitrary Fermi contours
• Wave-function engineering on superconducting substrates: Chiral Yu-Shiba-Rusinov molecules
• Tailoring phase transition from topological superconductor to trivial superconductor induced by magnetic textures of a spin-chain on a $p$-wave superconductor
• Boosting the STM's spatial and energy resolution with double-functionalized probe tips
• Systematic study of Mn atoms, artificial dimers and chains on superconducting Ta(110)
• Calculations of in-gap states of ferromagnetic spin chains on \textit{s}-wave wide-band superconductors
• Search for large topological gaps in atomic spin chains on proximitized superconducting heavy metal layers
• Increased localization of Majorana modes in antiferromagnetic chains on superconductors
• Magnetism between magnetic adatoms on monolayer NbSe${}_2$
• Diamagnetic property and optical absorption in conventional superconductors with magnetic impurities
• Yu-Shiba-Rusinov states in a superconductor with topological Z2 bands
• Unravelling the atomic and electronic structure of nanocrystals on superconducting Nb(110): Impact of the oxygen monolayer
• Shiba states in systems with density of states singularities
• Control of Yu-Shiba-Rusinov States through a Bosonic Mode
• Topological Quantum Phase Transitions in Metallic Shiba Lattices
• Magnetic impurities on superconducting Pb surfaces
• Subgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. II. Topological classification
• Diluted Yu-Shiba-Rusinov arrays on the $\beta$-Bi${}_2$Pd anisotropic superconductor
• Magnetic flux induced topological superconductivity in magnetic atomic rings
• Magnetic flux induced higher-order topological superconductivity
• Odd-parity ground state in dilute Yu-Shiba-Rusinov dimers and chains
• Kondo Screening and Indirect Magnetic Exchange through a Conventional Superconductor Studied by the Density-Matrix Renormalization Group
• Scalable Effective Models for Superconducting Nanostructures: Applications to Double, Triple, and Quadruple Quantum Dots
• Magnetic ground state of supported monatomic Fe chains from first principles
• Electronic and Magnetic Properties of Building Blocks of Mn and Fe Atomic Chains on Nb(110)
• Andreev molecule in parallel InAs nanowires