Superconductor-ferromagnet-superconductor Josephson junctions are known to exist in the 0 and π states with the transitions between them controlled by the temperature and ferromagnetic interlayer thickness. We demonstrate that these transitions can be controlled also by the external magnetic field directed perpendicular to the layers. By varying the ratio of diffusion coefficients in superconducting and ferromagnetic layers, these field-controlled transitions can be made detectable for arbitrary large values of the exchange energy in the ferromagnet. We also show that the transitions in the perpendicular field can be observed as the specific features of the flux-flow conductivity dependencies on the ferromagnetic thickness in accordance with recent experimental results.
References
1.
2.
3.
A. I.
Buzdin
, Rev. Mod. Phys.
77
, 935
(2005
).4.
I. F.
Lyuksyutov
and V. L.
Pokrovsky
, Adv. Phys.
54
, 67
(2005
).5.
V. V.
Ryazanov
, V. A.
Oboznov
, A. Y.
Rusanov
, A. V.
Veretennikov
, A. A.
Golubov
, and J.
Aarts
, Phys. Rev. Lett.
86
, 2427
(2001
).6.
T.
Kontos
, M.
Aprili
, J.
Lesueur
, F.
Gent
, B.
Stephanidis
, and R.
Boursier
, Phys. Rev. Lett.
89
, 137007
(2002
).7.
V.
Shelukhin
, A.
Tsukernik
, M.
Karpovski
, Y.
Blum
, K.
Efetov
, A.
Volkov
, T.
Champel
, M.
Eschrig
, T.
Löfwander
, G.
Schoen
et al, “Observation of periodic π-phase shifts in ferromagnet-superconductor multilayers
,” Phys. Rev. B
73
, 174506
(2006
).8.
V. A.
Oboznov
, V. V.
Bolginov
, A. K.
Feofanov
, V. V.
Ryazanov
, and A. I.
Buzdin
, Phys. Rev. Lett.
96
, 197003
(2006
).9.
A.
Bauer
, J.
Bentner
, M.
Aprili
, M. L. D.
Rocca
, M.
Reinwald
, W.
Wegscheider
, and C.
Strunk
, Phys. Rev. Lett.
92
, 217001
(2004
).10.
E.
Terzioglu
and M. R.
Beasley
, IEEE Trans. Appl. Supercond.
8
, 48
(1998
).11.
A. V.
Ustinov
and V. K.
Kaplunenko
, J. Appl. Phys.
94
, 5405
(2003
).12.
M. I.
Khabipov
, D. V.
Balashov
, F.
Maibaum
, A. B.
Zorin
, V. A.
Oboznov
, V. V.
Bolginov
, A. N.
Rossolenko
, and V. V.
Ryazanov
, Supercond. Sci. Technol.
23
, 045032
(2010
).13.
S.
Bakurskiy
, N.
Klenov
, I.
Soloviev
, N.
Pugach
, M. Y.
Kupriyanov
, and A.
Golubov
, “Protected 0-π states in sisfs junctions for josephson memory and logic
,” Appl. Phys. Lett.
113
, 082602
(2018
).14.
T.
Yamashita
, K.
Tanikawa
, S.
Takahashi
, and S.
Maekawa
, Phys. Rev. Lett.
95
, 097001
(2005
).15.
A. K.
Feofanov
, V. A.
Oboznov
, V. V.
Bol'ginov
, J.
Lisenfeld
, S.
Poletto
, V. V.
Ryazanov
, A. N.
Rossolenko
, M.
Khabipov
, D.
Balashov
, A. B.
Zorin
, P. N.
Dmitriev
, V. P.
Koshelets
, and A. V.
Ustinov
, Nat. Phys.
6
, 593
(2010
).16.
M. J.
Hinton
, S.
Steers
, B.
Peters
, F. Y.
Yang
, and T. R.
Lemberger
, Phys. Rev. B
94
, 014518
(2016
).17.
K.
Torokhtii
, N.
Pompeo
, C.
Meneghini
, C.
Attanasio
, C.
Cirillo
, E. A. I.
amd
, S.
Sarti
, and E.
Silva
, J. Supercond. Novel Magn.
26
, 571
(2013
).18.
A.
Schmid
and G.
Schön
, J. Low Temp. Phys.
20
, 207
(1975
).19.
F. S.
Bergeret
, M.
Silaev
, P.
Virtanen
, and T. T.
Heikkilä
, Rev. Mod. Phys.
90
, 041001
(2018
).20.
P.
Virtanen
, A.
Vargunin
, and M.
Silaev
, “Quasiclassical expressions for the free energy of superconducting systems
,” arXiv:1909.00992 (2019
).21.
A. V.
Samokhvalov
and A. I.
Buzdin
, Phys. Rev. B
92
, 054511
(2015
).22.
Y. V.
Fominov
, N. M.
Chtchelkatchev
, and A. A.
Golubov
, Phys. Rev. B
66
, 014507
(2002
).23.
B.
Krunavakarn
and S.
Yoksan
, Physica C
440
, 25
(2006
).24.
T.
Karabassov
, V. S.
Stolyarov
, A. A.
Golubov
, V. M.
Silkin
, V. M.
Bayazitov
, B. G.
Lvov
, and A. S.
Vasenko
, Phys. Rev. B
100
, 104502
(2019
).25.
J.
Jiang
, D.
Davidovic
, D. H.
Reich
, and C. L.
Chien
, Phys. Rev. Lett.
74
, 314
(1995
).26.
A. V.
Samokhvalov
, Phys. Solid State
59
, 2143
(2017
).27.
A. A.
Golubov
, M. Y.
Kupriyanov
, and M. M.
Khapaev
, “Abrikosov vortices in sf bilayers
,” JETP Lett.
104
, 847
–851
(2016
).28.
V. S.
Stolyarov
, T.
Cren
, C.
Brun
, I. A.
Golovchanskiy
, O. V.
Skryabina
, D. I.
Kasatonov
, M. M.
Khapaev
, M. Y.
Kupriyanov
, A. A.
Golubov
, and D.
Roditchev
, “Expansion of a superconducting vortex core into a diffusive metal
,” Nat. Commun.
9
, 2277
(2018
).29.
D.
Ihle
, Phys. Status Solidi B
47
, 429
(1971
).30.
R. J.
Watts-Tobin
, L.
Kramer
, and W.
Pesch
, J. Low Temp. Phys.
17
, 71
(1974
).31.
J.
Rammer
, W.
Pesch
, and L.
Kramer
, Z. Phys. B
68
, 49
(1987
).32.
J.
Rammer
, J. Low Temp. Phys.
71
, 323
(1988
).33.
A. I.
Larkin
and Y. N.
Ovchinnikov
, Modern Problems in Condensed Matter Sciences: Nonequilibrium Superconductivity
, edited by D. N.
Langenberg
and A. I.
Larkin
(Elsevier
, 1986
), p. 493
.34.
N. B.
Kopnin
, Theory of Nonequilibrium Superconductivity
(Oxford University Press
, 2001
).35.
A. S.
Mel'nikov
, “Inertial mass and viscosity of tilted vortex lines in layered superconductors
,” Phys. Rev. Lett.
77
, 2786
(1996
).36.
Z.
Radović
, M.
Ledvij
, and L.
Dobrosavljević-Grujić
, Solid State Commun.
80
, 43
(1991
).37.
A.
Vargunin
and M. A.
Silaev
, Phys. Rev. B
96
, 214507
(2017
).© 2020 Author(s).
2020
Author(s)
You do not currently have access to this content.
