Yu-Shiba-Rusinov screening of spins in double quantum dots

Abstract

A magnetic impurity coupled to a superconductor gives rise to a Yu-Shiba-Rusinov (YSR) state inside the superconducting energy gap. With increasing exchange coupling the excitation energy of this state eventually crosses zero and the system switches to a YSR groundstate with bound quasiparticles screening the impurity spin by $\hslash /2$. Here we explore InAs nanowire double quantum dots tunnel coupled to a superconductor and demonstrate YSR screening of spin-1/2 and spin-1 states. Gating the double dot through 9 different charge states, we show that the honeycomb pattern of zero-bias conductance peaks, archetypal of double dots coupled to normal leads, is replaced by lines of zero-energy YSR states. These enclose regions of YSR-screened dot spins displaying distinctive spectral features, and their characteristic shape and topology change markedly with tunnel coupling strengths. We find excellent agreement with a simple zero-bandwidth approximation, and with numerical renormalization group calculations for the two-orbital Anderson model.

arXiv comment6 pages, 4 figures. For Supplementary Information, see http://www.kaspergr.dk/YSRDQD/SupplementaryInformation.pdf

References in corpus (20)

• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Electron transport through double quantum dots
• Spin-resolved Andreev levels and parity crossings in hybrid superconductor-semiconductor nanostructures
• Topological superconducting phase in helical Shiba chains
• Revealing the electronic structure of a carbon nanotube carrying a supercurrent
• Single magnetic adsorbates on s-wave superconductors
• Tunneling Spectroscopy of Quasiparticle Bound States in a Spinful Josephson Junction
• Tunneling processes into localized subgap states in superconductors
• Magnetic anisotropy in Shiba bound states across a quantum phase transition
• Orbital Picture of Yu-Shiba-Rusinov Multiplets
• Coupled Yu-Shiba-Rusinov states in molecular dimers on NbSe${}_2$
• Adaptive tuning of Majorana fermions in a quantum dot chain
• Tuning Yu-Shiba-Rusinov States in a Quantum Dot
• Andreev Molecules in Semiconductor Nanowire Double Quantum Dots
• Self-Organized Topological Superconductivity in a Yu-Shiba-Rusinov Chain
• Magnetic anisotropy effects on quantum impurities in superconducting host
• Superconductivity-enhanced bias spectroscopy in carbon nanotube quantum dots
• Hybrid Double Quantum Dots: Normal, Superconducting, and Topological Regimes
• Phase diagram and excitations of a Shiba molecule
• Tunable Kondo physics in a carbon nanotube double quantum dot

Cited by in corpus (60)

• From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
• Nontopological zero-bias peaks in full-shell nanowires induced by flux tunable Andreev states
• A two-site Kitaev chain in a two-dimensional electron gas
• The Anderson-Josephson quantum dot -- A theory perspective
• A perspective on semiconductor-based superconducting qubits
• Robust poor man's Majorana zero modes using Yu-Shiba-Rusinov states
• Supercurrent in a double quantum dot
• Yu-Shiba-Rusinov states in real metals
• Magnetic field independent sub-gap states in hybrid Rashba nanowires
• Two-Impurity Yu-Shiba-Rusinov States in Coupled Quantum Dots
• Spatially dispersing Yu-Shiba-Rusinov states in the unconventional superconductor ${\mathrm{FeTe}}_{0.55}{\mathrm{Se}}_{0.45}$
• Enhancing the excitation gap of a quantum-dot-based Kitaev chain
• Mirage Andreev spectra generated by mesoscopic leads in nanowire quantum dots
• Evidence for spin-polarized bound states in semiconductor-superconductor-ferromagnetic insulator islands
• Quantum magnetism and topological superconductivity in Yu-Shiba-Rusinov chains
• Generalized atomic limit of a double quantum dot coupled to superconducting leads
• Surrogate model solver for impurity-induced superconducting subgap states
• From Cooper pair splitting to the non-local spectroscopy of a Shiba state
• Quantum Yu-Shiba-Rusinov dimers
• Kitaev chain in an alternating quantum dot-Andreev bound state array
• Fermion-parity qubit in a proximitized double quantum dot
• Josephson junctions in double nanowires bridged by in-situ deposited superconductors
• Inductive microwave response of Yu-Shiba-Rusinov states
• Josephson current via spin and orbital states of a tunable double quantum dot
• Charge sensing the parity of an Andreev molecule
• Magnetically-Confined Bound States in Rashba Systems
• Rigorous Wilsonian Renormalization Group for impurity models with a spectral gap
• Temperature Induced Shifts of Yu-Shiba-Rusinov Resonances in Nanowire-Based Hybrid Quantum Dots
• Interplay of the Kondo effect with the induced pairing in electronic and caloric properties of T-shaped double quantum dots
• Transient effects in double quantum dot sandwiched laterally between superconducting and metallic leads
• Nonlocal Andreev Reflections as a Source of Spin Exchange and Kondo Screening
• Majorana modes in quantum dots coupled via a floating superconducting island
• Transient dynamics of a magnetic impurity coupled to superconducting electrodes: exact numerics versus perturbation theory
• Intermediate states in Andreev bound state fusion
• Supercurrent through an Andreev trimer
• Double-quantum-dot Andreev molecules: Phase diagrams and critical evaluation of effective models
• Yu-Shiba-Rusinov States and Ordering of Magnetic Impurities Near the Boundary of a Superconducting Nanowire
• Full Counting Statistics of Yu-Shiba-Rusinov Bound States
• Supercurrent transport through 1$e$-periodic full-shell Coulomb islands
• Hidden symmetry in interacting-quantum-dot-based multi-terminal Josephson junctions
• Effective low-energy models for superconducting impurity systems
• Impurity Knight shift in quantum dot Josephson junctions
• Josephson junction π-0 transition induced by orbital hybridization in a double quantum dot
• Subgap dynamics of double quantum dot coupled between superconducting and normal leads
• Second Order Perturbation Theory for a Superconducting Double Quantum Dot
• The topological Kondo model out of equilibrium
• Generalized transmon Hamiltonian for Andreev spin qubits
• Yu-Shiba-Rusinov states, the BCS-BEC crossover, and the exact solution in the flat-band limit
• YSR Bond Qubit in a Double Quantum Dot with cQED Operation
• Superconducting quantum dot and the sub-gap states
• Magnetization curves of deposited finite spin chains
• Andreev bound state spectroscopy of a quantum-dot-based Aharonov-Bohm interferometer with superconducting terminals
• Probing proximity induced superconductivity in InAs nanowire using built-in barriers
• Scalable Effective Models for Superconducting Nanostructures: Applications to Double, Triple, and Quadruple Quantum Dots
• Theory of Andreev Blockade in a Double Quantum Dot with a Superconducting Lead
• DC Josephson effect between two Yu-Shiba-Rusinov bound states
• Giant superconducting proximity effect on spintronic anisotropy
• Nonreciprocal Equilibrium Josephson Effect of Arbitrary Periodicity from Poor Man's Majorana Zero Modes
• Creating and detecting poor man's Majorana bound states in interacting quantum dots
• Transient triplet blockade in Andreev junction