Inductive microwave response of Yu-Shiba-Rusinov states

Abstract

We calculate the frequency-dependent admittance of a phase-biased Josephson junction spanning a magnetic impurity or a spinful Coulomb-blockaded quantum dot. The local magnetic moment gives rise to Yu-Shiba-Rusinov bound states, which govern the sub-gap absorption as well as the inductive response. We model the system by a superconducting spin-polarized exchange-cotunnel junction and calculate the linear current response to an AC bias voltage, including its dependence on phase bias as well as particle-hole, and source-drain coupling asymmetry. The corresponding inductive admittance is analyzed and compared to results of a zero-bandwidth, as well as an infinite-gap approximation to the superconducting Anderson model. All three approaches capture the interaction-induced $0-\pi$ transition, which is reflected as a discontinuity in the adiabatic inductive response.

21 pages, 14 figures

References in corpus (15)

• Hard gap in epitaxial semiconductor-superconductor nanowires
• Coherent manipulation of an Andreev spin qubit
• Spectral properties of locally correlated electrons in a BCS superconductor
• Critical Current 0-$\pi$ Transition in Designed Josephson Quantum Dot Junctions
• Even-odd effect in Andreev Transport through a Carbon Nanotube Quantum Dot
• Kondo Universal Scaling for a Quantum Dot Coupled to Superconducting Leads
• Tuning Yu-Shiba-Rusinov States in a Quantum Dot
• Kondo effect in asymmetric Josephson couplings through a quantum dot
• Magnetic anisotropy effects on quantum impurities in superconducting host
• Andreev spin qubits in multichannel Rashba nanowires
• Superconductivity-enhanced bias spectroscopy in carbon nanotube quantum dots
• Manipulating the magnetic state of a carbon nanotube Josephson junction using the superconducting phase
• Yu-Shiba-Rusinov states in real metals
• From adiabatic to dispersive readout of quantum circuits
• The fate of the Kondo cloud in a superconductor

Cited by in corpus (12)

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• Anomalous Josephson current through a driven double quantum dot
• Quantum circuits with multiterminal Josephson-Andreev junctions
• Dynamical parity selection in superconducting weak links
• Strong nonlocal tuning of the current-phase relation of a quantum dot based Andreev molecule
• Ground state phase diagram and "parity flipping'' microwave transitions in a gate-tunable Josephson Junction
• Generalized transmon Hamiltonian for Andreev spin qubits
• YSR Bond Qubit in a Double Quantum Dot with cQED Operation
• Exotic bottomonium hadronic transitions
• Slave-spin approach to the Anderson-Josephson quantum dot
• Detection of persistent current correlation in cavity-QED