Dynamical Hall responses of disordered superconductors

Alberto Hijano, Sakineh Vosoughi-nia, F. Sebastián Bergeret, Pauli Virtanen, and Tero T. Heikkilä

Phys. Rev. B 108, 104506 – Published 19 September 2023

Abstract

We extend the Mattis-Bardeen theory for the dynamical response of superconductors to include different types of Hall responses. This is possible thanks to a recent modification of the quasiclassical Usadel equation, which allows for analyzing Hall effects in disordered superconductors and including the precise frequency dependence of such effects. Our results form a basis for analyzing dynamical experiments especially on novel thin-film superconductors, where ordinary Hall and spin Hall effects can both show up.

Received 30 June 2023
Accepted 7 September 2023

DOI:https://doi.org/10.1103/PhysRevB.108.104506

Physics Subject Headings (PhySH)

Hall effect Inverse spin Hall effect Spin Hall effect

Nonequilibrium Green's function

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Alberto Hijano ^1,2,*, Sakineh Vosoughi-nia ^3,4,5,†, F. Sebastián Bergeret^1,6, Pauli Virtanen³, and Tero T. Heikkilä ^3,‡

¹Centro de Física de Materiales Centro Mixto CSIC-UPV/EHU, E-20018 Donostia–San Sebastián, Spain
²Department of Condensed Matter Physics, University of the Basque Country UPV/EHU, 48080 Bilbao, Spain
³Department of Physics and Nanoscience Center, University of Jyväskylä, P.O. Box 35 (YFL), FI-40014 Jyväskylä, Finland
⁴AGH University of Krakow, Academic Centre for Materials and Nanotechnology, al. A. Mickiewicza 30, 30-059 Krakow, Poland
⁵Institute of Physics, Marie Curie-Skłodowska University, 20-031 Lublin, Poland
⁶Donostia International Physics Center, 20018 Donostia–San Sebastián, Spain

^*alberto.hijano@ehu.eus
^†sakineh.vosooghi@gmail.com
^‡tero.t.heikkila@jyu.fi

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Issue

Vol. 108, Iss. 10 — 1 September 2023

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