Collisionless dynamics in disordered superconductors

Abstract

I consider relaxation of the pairing amplitude in a disordered Bardeen-Cooper-Schrieffer (BCS) superconductor in the absence of the two-particle collisions. My main assumption is that nonmagnetic and magnetic disorder scattering rates are much smaller than the value of the superconducting pairing gap ${\Delta }_0$. I derive a system of nonlinear equations which describe the collisionless relaxation of the pairing amplitude following a quench of the pairing strength. I find that in a superconductor in which scattering on paramagnetic impurities is dominant, the pairing amplitude in a steady state varies periodically with time even for small deviations from equilibrium. It is shown that such a steady state emerges due to scattering on paramagnetic impurities which leads to a decrease in the value of the resonant frequency of the amplitude mode below $2{\Delta }_0$.

arXiv comment6 pages (main text) + 6 pages (supplementary materials), 5 figures

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Cited by in corpus (4)

• Collective modes in superconductors including Coulomb repulsion
• Signatures of superconducting Higgs mode in irradiated Josephson junctions
• Measuring intrinsic relaxation rates in superconductors using nonlinear response
• AC Josephson Signatures of the Superconducting Higgs Mode