Coupled Yu-Shiba-Rusinov states in molecular dimers on NbSe${}_2$

Abstract

Magnetic impurities have a dramatic effect on superconductivity by breaking the time-reversal symmetry and inducing so-called Yu-Shiba-Rusinov (YSR) low energy bound states within the superconducting gap. The spatial extent of YSR states is greatly enhanced in 2D systems, which should facilitate the formation of coupled states. Here, we observe YSR states on single cobalt phthalocyanine (CoPC) molecules on a 2D superconductor NbSe${}_2$ using low-temperature scanning tunneling microscopy (STM) and spectroscopy (STS). We use STM lateral manipulation to create controlled CoPc dimers and demonstrate the formation of coupled YSR states. The experimental results are corroborated by theoretical analysis of the coupled states in lattice and continuum models. Our work forms an important step towards the realization of exotic topological states in designer magnetic lattices.

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Cited by in corpus (79)

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• Quantum spins and hybridization in artificially-constructed chains of magnetic adatoms on a superconductor
• Magnetic-Related States and Order Parameter Induced in a Conventional Superconductor by Nonmagnetic Chiral Molecules
• Competing Coulomb and electron-phonon interactions in NbS${}_2$
• 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
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• A Two-Dimensional Metal-Organic Framework on Superconducting NbSe${}_2$
• Interfering tunneling paths through magnetic molecules on superconductors: Asymmetries of Kondo and Yu-Shiba-Rusinov resonances
• Yu-Shiba-Rusinov qubit
• Long range and highly tunable interaction between local spins coupled to a superconducting condensate
• Electron and Cooper pair transport across a single magnetic molecule explored with a scanning tunneling microscope
• Long-range focusing of magnetic bound states in superconducting lanthanum
• Yu-Shiba-Rusinov states of impurities in a triangular lattice of NbSe${}_2$ with spin orbit coupling
• Interplay Between Yu-Shiba-Rusinov States and Multiple Andreev Reflections
• Topological superconductivity from magnetic impurities on monolayer NbSe${}_2$
• Atomic Manipulation of In-gap States on the $\beta$-Bi${}_2$Pd Superconductor
• Tailoring Superconductivity in Large-Area Single-Layer NbSe2 via Self-Assembled Molecular Adlayers
• Large spatial extension of the zero-energy Yu-Shiba-Rusinov state in magnetic field
• Coupling of Yu-Shiba-Rusinov states in 1D chains of Fe atoms on Nb(110)
• Quantum Yu-Shiba-Rusinov dimers
• From Cooper pair splitting to the non-local spectroscopy of a Shiba state
• Tunneling processes between Yu-Shiba-Rusinov bound states
• Resonance-enhanced vibrational spectroscopy of molecules on a superconductor
• Yu-Shiba-Rusinov bands in ferromagnetic superconducting diamond
• PTCDA molecular monolayer on Pb thin films: An unusual π-electron Kondo system and its interplay with a quantum-confined superconductor
• Rise and fall of Yu-Shiba-Rusinov bound-states in charge conserving $s$-wave one-dimensional superconductors
• Unveiling hidden charge density waves in single-layer NbSe${}_2$ by impurities
• Nanoscale Control of Quantum States in Radical Molecules on Superconducting Pb(111)
• Collective Yu-Shiba-Rusinov states in magnetic clusters at superconducting surfaces
• Yu-Shiba-Rusinov states in 2D superconductors with arbitrary Fermi contours
• Wave-function engineering on superconducting substrates: Chiral Yu-Shiba-Rusinov molecules
• Real-space multiple scattering theory for superconductors with impurities
• Temperature Induced Shifts of Yu-Shiba-Rusinov Resonances in Nanowire-Based Hybrid Quantum Dots
• Universal scaling of tunable Yu-Shiba-Rusinov states across the quantum phase transition
• Real-space imaging of dispersive triplon excitations in engineered quantum magnets
• Yu-Shiba-Rusinov bands in a self-assembled kagome lattice of magnetic molecules
• 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
• Full Counting Statistics of Yu-Shiba-Rusinov Bound States
• Yu-Shiba-Rusinov States and Ordering of Magnetic Impurities Near the Boundary of a Superconducting Nanowire
• Effective low-energy models for superconducting impurity systems
• Probing and dressing magnetic impurities in a superconductor
• Impurity-induced excitations in a topological two-dimensional ferromagnet/superconductor van der Waals moiré heterostructure
• Coherent coupling between vortex bound states and magnetic impurities in 2D layered superconductors
• Magnetism between magnetic adatoms on monolayer NbSe${}_2$
• Diamagnetic property and optical absorption in conventional superconductors with magnetic impurities
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• Emergence of Exotic Spin Texture in Supramolecular Metal Complexes on a 2D Superconductor
• Diluted Yu-Shiba-Rusinov arrays on the $\beta$-Bi${}_2$Pd anisotropic superconductor
• Gate-tunable topological superconductivity in a supramolecular electron spin lattice
• Preparation and readout of Majorana qubits in magnet-superconductor hybrid systems
• Anisotropy and spin-fluctuation effects on the spectral properties of Shiba impurities
• Emergent quantum matter in graphene nanoribbons
• Hamiltonian Learning of Triplon Excitations in an Artificial Nanoscale Molecular Quantum Magnet
• Anisotropy of Yu-Shiba-Rusinov states in NbSe${}_2$
• Effects of electron-electron interactions in the Yu-Shiba-Rusinov lattice model
• Interplay between pairing and correlations in spin-polarized bound states
• In-gap states of magnetic impurity in quantum spin Hall insulator proximitized to a superconductor
• Origin of subgap states in normal-insulator-superconductor van der Waals heterostructures
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• Andreev molecule in parallel InAs nanowires
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