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    Impact of absorption due to zero-field splitting on loss in dielectrics: A case study in sapphire

    Mark E. Turiansky*,† and Chris G. Van de Walle‡

    • *Present address: U.S. Naval Research Laboratory, 4555 Overlook Avenue SW, Washington, DC 20375, USA.
    • †Contact author: mturiansky@physics.ucsb.edu
    • ‡Contact author: vandewalle@mrl.ucsb.edu

    Phys. Rev. B 113, 024422 – Published 20 January, 2026

    DOI: https://doi.org/10.1103/y43k-l6xr

    Abstract

    The coherence times of superconducting qubits are limited by loss mechanisms, whose microscopic origins have remained elusive. We propose a mechanism caused by transitions between zero-field-split states of paramagnetic impurities or defects. We derive the absorption cross section for a magnetic dipole transition and apply it to calculate the bulk loss tangent. For Cr, Fe, and V impurities in sapphire, we find loss tangents at 4.5 GHz in the range of 10−9–10−8, comparable to the loss measured in experiments. This value suggests that magnetic loss may be a limiting factor in the coherence times of superconducting qubits.

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