English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

By solving the renormalization of the $s$-$d$ interaction from magneticimpurities embeded in conventional superconductors at low concentration, wederive the macroscopic superconducting phase fluctuation and electromagneticproperties within the path-integral approach. It is found that there exist twosuperconducting phase modes, both exhibiting similar behaviors of theNambu-Goldstone mode. The existence of two phase modes suggests that inaddition to the conventional free Cooper pairs as in the BCS case, thereemerges a small part of the localized Cooper pairs around magnetic impuritiesdue to the quantum correlation by the $s$-$d$ interaction, acting as Josephsonislands. The emerging impurity Shiba bands inside the superconducting gap thencorrespond to the excitations of the ground state of the localized Cooperpairs, associated with the breaking of these Cooper pairs. In the diamagneticresponse, the state of the free Cooper pairs gives rise to the conventionalreal contribution in the generated supercurrent, whereas the one of thelocalized Cooper pairs results in an imaginary contribution, leading to thesuperconducting Friedel oscillation, i.e., oscillation in the decay of thevector potential in the Meissner effect. As for the optical absorption of aconventional superconductor lying in the anomalous-skin-effect region, it isfound that besides the conventional interband transition of Bogoliubovquasiparticles as revealed by Mattis-Bardeen theory, there also exist theinterband transition between the impurity Shiba bands as well as all interbandtransitions between Bogoliubov quasiparticle and impurity Shiba bands. Thesetransitions exhibit clear and separate resonance characters, providing afeasible scheme for the experimental detection.

Diamagnetic property and optical absorption in conventional superconductors with magnetic impurities