Abstract
We find proximity-induced spontaneous spin and electric surface currents at all temperatures below the super-conducting T c in an isotropic s-wave superconductor deposited with a thin ferromagnetic metal layer with spin-orbit interaction. The currents are carried by Andreev surface states and generated as a joint effect of the spin-orbit interaction and the exchange field. The background spin current arises in the thin layer due to different local spin polarizations of electrons and holes, which have almost opposite velocities in each of the surface states. The spontaneous surface electric current in the superconductor originates in the asymmetry of Andreev states with respect to sign reversal of the momentum component parallel to the surface. The conditions for electric and spin currents to show up in the system significantly differ from each other.
Similar content being viewed by others
References
M. Fogelström, Phys. Rev. B 62, 11812 (2000).
J. C. Cuevas and M. Fogelström, Phys. Rev. B 64, 104502 (2001).
N. M. Chtchelkatchev, W. Belzig, Yu. V. Nazarov, and C. Bruder, Pis’ma Zh. Éksp. Teor. Fiz. 74, 357 (2001) [JETP Lett. 74, 323 (2001)].
Yu. S. Barash and I. V. Bobkova, Phys. Rev. B 65, 144502 (2002).
Yu. S. Barash, I. V. Bobkova, and T. Kopp, Phys. Rev. B 66, 140503(R) (2002).
A. F. Volkov, F. S. Bergeret, and K. B. Efetov, Phys. Rev. Lett. 90, 117006 (2003).
A. I. Buzdin, L. N. Bulaevsky, and S. V. Panyukov, Pis’ma Zh. Éksp. Teor. Fiz. 35, 147 (1982) [JETP Lett. 35, 178 (1982)].
F. S. Bergeret, A. F. Volkov, and K. B. Efetov, Phys. Rev. Lett. 86, 4096 (2001).
A. Millis, D. Rainer, and J. A. Sauls, Phys. Rev. B 38, 4504 (1988).
A. I. Buzdin, B. Bujicic, and M. Yu. Kupriyanov, Zh. Éksp. Teor. Fiz. 101, 231 (1992) [Sov. Phys. JETP 74, 124 (1992)].
E. A. Demler, G. B. Arnold, and M. R. Beasley, Phys. Rev. B 55, 15174 (1997).
F. S. Bergeret, A. F. Volkov, and K. B. Efetov, Phys. Rev. Lett. 86, 3140 (2001); Phys. Rev. B 64, 134506 (2001).
V. V. Ryazanov, V. A. Oboznov, A. Yu. Rusanov, et al., Phys. Rev. Lett. 86, 2427 (2001).
T. Kontos, M. Aprili, J. Lesueur, et al., Phys. Rev. Lett. 89, 137007 (2002).
Ya. V. Fominov, N. M. Chtchelkatchev, and A. A. Golubov, Pis’ma Zh. Éksp. Teor. Fiz. 74, 101 (2001) [JETP Lett. 74, 96 (2001)]; Phys. Rev. B 66, 014507 (2002).
F. S. Bergeret, A. F. Volkov, and K. B. Efetov, Phys. Rev. B 65, 134505 (2002).
A. Yu. Rusanov, M. Hesselberth, J. Aarts, and A. I. Buzdin, Phys. Rev. Lett. 93, 057002 (2004).
C.-Y. You, Ya. B. Bazaliy, J. Y. Gu, et al., Phys. Rev. B 70, 014505 (2004).
G. E. Volovik and L. P. Gor’kov, Zh. Éksp. Teor. Fiz. 88, 1412 (1985) [Sov. Phys. JETP 61, 843 (1985)].
M. Sigrist and K. Ueda, Rev. Mod. Phys. 63, 239 (1991).
G. E. Volovik, Pis’ma Zh. Éksp. Teor. Fiz. 66, 492 (1997) [JETP Lett. 66, 522 (1997)].
M. Fogelström, D. Rainer, and J. A. Sauls, Phys. Rev. Lett. 79, 281 (1997).
Yu. S. Barash, M. S. Kalenkov, and J. Kurkijärvi, Phys. Rev. B 62, 6665 (2000).
T. Löfwander, V. S. Shumeiko, and G. Wendin, Supercond. Sci. Technol. 14, R53 (2001).
M. Krawiec, B. L. Györffy, and J. F. Annett, Phys. Rev. B 66, 172505 (2002); Physica C (Amsterdam) 387, 7 (2003).
J. König, M. C. Bonsager, and A. H. MacDonald, Phys. Rev. Lett. 87, 187202 (2001).
E. I. Rashba, Phys. Rev. B 68, 241315 (2003); condmat/0404723; cond-mat/0408119.
T. P. Pareek, Phys. Rev. Lett. 92, 076601 (2004).
F. Meier and D. Loss, Phys. Rev. Lett. 90, 167204 (2003).
O. V. Dimitrova and M. V. Feigel’man, Pis’ma Zh. Éksp. Teor. Fiz. 78, 1132 (2003) [JETP Lett. 78, 637 (2003)].
M. Eschrig, Phys. Rev. B 61, 9061 (2000).
Author information
Authors and Affiliations
Additional information
From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 80, No. 7, 2004, pp. 563–568.
Original English Text Copyright © 2004 by Bobkova, Barash.
This article was submitted by the author in English.
Rights and permissions
About this article
Cite this article
Bobkova, I.V., Barash, Y.S. Effects of spin-orbit interaction on superconductor-ferromagnet heterostructures: Spontaneous electric and spin surface currents. Jetp Lett. 80, 494–499 (2004). https://doi.org/10.1134/1.1839298
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1134/1.1839298