Abrikosov vortices in SF bilayers
A. A. Golubova,b, M. Yu. Kupriyanova,c,d, M. M. Khapaeve
aMoscow Institute of Physics and Technology, State University, 141700 Dolgoprudny, Russia
bFaculty of Science and Technology and MESA+, Institute for Nanotechnology, University of Twente,
7500 AE The Enschede, Netherlands
cSkobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, 119991 Moscow, Russia
dNational University of Science and Technology MISIS, 119049 Moscow, Russia
eDepartment of Numerical Methods, Lomonosov Moscow State University, 119992 Moscow, Russia
We study the spatial distribution of supercurrent circulated
around an Abrikosov vortex in an SF bilayer in perpendicular magnetic
Within the dirty limit regime and circular cell approximation for the vortex
lattice, we derive the conditions when the Usadel equations the F-layer can
be solved analytically.
Using the obtained solutions, we demonstrate the possibility of reversal of
direction of proximity induced supercurrents around the vortex in the F-layer
compared to that in the S-layer.
The direction of currents can be controlled either by varying transparency of
the SF interface or by changing an exchange field in a ferromagnet.
We argue that the origin of this effect is due the phase shift between
singlet and triplet order parameter components induced in the F-layer.
Possible ways of experimental detection of the predicted effect are