start-ver=1.4
cd-journal=joma
no-vol=109
cd-vols=
no-issue=17
article-no=
start-page=174503
end-page=
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2024
dt-pub=20240502
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=Time-dependent Ginzburg-Landau theory of the vortex spin Hall effect
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract=We develop a time-dependent Ginzburg-Landau theory of the vortex spin Hall effect, i.e., a spin Hall effect that is driven by the motion of superconducting vortices. For the direct vortex spin Hall effect in which an input charge current drives the transverse spin current accompanying the vortex motion, we start from the well-known Schmid-Caroli-Maki solution for the time-dependent Ginzburg-Landau equation under the applied electric field, and find out the expression of the induced spin current. For the inverse vortex spin Hall effect in which an input spin current drives the longitudinal vortex motion and produces the transverse charge current, we microscopically construct the time-dependent Ginzburg-Landau equation under the applied spin accumulation gradient, and calculate the induced transverse charge current as well as the open circuit voltage. The time-dependent Ginzburg-Landau equation and its analytical solution developed here can be a basis for more quantitative numerical simulations of the vortex spin Hall effect.
en-copyright=
kn-copyright=

en-aut-name=AdachiHiroto
en-aut-sei=Adachi
en-aut-mei=Hiroto
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=1
ORCID=

en-aut-name=KatoYusuke
en-aut-sei=Kato
en-aut-mei=Yusuke
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=2
ORCID=

en-aut-name=OheJun-ichiro
en-aut-sei=Ohe
en-aut-mei=Jun-ichiro
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=3
ORCID=

en-aut-name=IchiokaMasanori
en-aut-sei=Ichioka
en-aut-mei=Masanori
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=4
ORCID=

affil-num=1
en-affil=Research Institute for Interdisciplinary Science, Okayama University
kn-affil=

affil-num=2
en-affil=Department of Basic Science, University of Tokyo
kn-affil=

affil-num=3
en-affil=Department of Physics, Toho University
kn-affil=

affil-num=4
en-affil=Research Institute for Interdisciplinary Science, Okayama University
kn-affil=
END