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arXiv · 2112.11261

Inductive microwave response of Yu-Shiba-Rusinov states

Cecilie Hermansen·Alfredo Levy Yeyati·Jens Paaske
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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.

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Cecilie Hermansen, Alfredo Levy Yeyati, Jens Paaske. 2021-12-21. Inductive microwave response of Yu-Shiba-Rusinov states. https://doi.org/10.1103/physrevb.105.054503

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