Probing magnetic interactions between Cr adatoms on the $\beta$-Bi${}_2$Pd superconductor

Abstract

We show that the magnetic ordering of coupled atomic dimers on a superconductor is revealed by their intra-gap spectral features. Chromium atoms on the superconductor $\beta$-Bi${}_2$Pd surface display Yu-Shiba-Rusinov bound states, detected as pairs of intra-gap excitations in the tunneling spectra. We formed Cr dimers by atomic manipulation and found that their intra-gap features appear either shifted or split with respect to single atoms. The spectral variations reveal that the magnetic coupling of the dimer changes between ferromagnetic and antiferromagnetic depending on its disposition on the surface, in good agreement with density functional theory simulations. These results prove that superconducting intra-gap state spectroscopy is an accurate tool to detect the magnetic ordering of atomic scale structures.

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Cited by in corpus (48)

• Colloquium: Atomic spin chains on surfaces
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• Engineering the spin couplings in atomically crafted spin chains on an elemental superconductor
• Yu-Shiba-Rusinov states in the charge-density modulated superconductor NbSe2
• Quantum spins and hybridization in artificially-constructed chains of magnetic adatoms on a superconductor
• Observation of magnetic adatom-induced Majorana vortex and its hybridization with field-induced Majorana vortex in an iron-based superconductor
• Two-dimensional Shiba lattices as possible platform for crystalline topological superconductivity
• Tuning interactions between spins in a superconductor
• Yu-Shiba-Rusinov states in real metals
• Yu-Shiba-Rusinov qubit
• Long range and highly tunable interaction between local spins coupled to a superconducting condensate
• Long-range focusing of magnetic bound states in superconducting lanthanum
• 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
• Observation of a gel of quantum vortices in a superconductor at very low magnetic fields
• Quantum Yu-Shiba-Rusinov dimers
• Coupling of Yu-Shiba-Rusinov states in 1D chains of Fe atoms on Nb(110)
• Testing the topological nature of end states in antiferromagnetic atomic chains on superconductors
• PTCDA molecular monolayer on Pb thin films: An unusual π-electron Kondo system and its interplay with a quantum-confined superconductor
• Majorana quasiparticles in atomic spin chains on superconductors
• Collective Yu-Shiba-Rusinov states in magnetic clusters at superconducting surfaces
• Yu-Shiba-Rusinov states in 2D superconductors with arbitrary Fermi contours
• Spectral Properties and Quantum Phase Transitions in Superconducting Junctions with a Ferromagnetic Link
• Yu-Shiba-Rusinov bands in a self-assembled kagome lattice of magnetic molecules
• Transient effects in double quantum dot sandwiched laterally between superconducting and metallic leads
• Solitonic in-gap modes in a superconductor-quantum antiferromagnet interface
• Quasiparticle focusing of bound states in two-dimensional $s$-wave superconductors
• 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
• First principles study of topological phase in chains of $3d$ transition metals
• Search for large topological gaps in atomic spin chains on proximitized superconducting heavy metal layers
• Coherent coupling between vortex bound states and magnetic impurities in 2D layered superconductors
• Full orbital decomposition of Yu-Shiba-Rusinov states based on first principles
• Subgap dynamics of double quantum dot coupled between superconducting and normal leads
• Probing and dressing magnetic impurities in a superconductor
• Effect of Van Hove singularities on Shiba states in two-dimensional $s$-wave superconductors
• Second Order Perturbation Theory for a Superconducting Double Quantum Dot
• Diluted Yu-Shiba-Rusinov arrays on the $\beta$-Bi${}_2$Pd anisotropic superconductor
• RKKY interaction at helical edges of topological superconductors
• Anisotropy of Yu-Shiba-Rusinov states in NbSe${}_2$
• Direct signatures of $d$-level hybridization and dimerization in magnetic adatom chains on a superconductor
• Scalable Effective Models for Superconducting Nanostructures: Applications to Double, Triple, and Quadruple Quantum Dots
• Cooper Pair Induced Frustration and Nematicity of Two-Dimensional Magnetic Adatom Lattices
• Kondo Screening and Indirect Magnetic Exchange through a Conventional Superconductor Studied by the Density-Matrix Renormalization Group
• Yu-Shiba-Rusinov multiplets and clusters of multiorbital adatoms in superconducting substrates: Subgap Green's function approach
• Andreev molecule in parallel InAs nanowires
• Transient triplet blockade in Andreev junction