Abstract
We report the superconducting transition temperature T c versus thickness d F of Ferromagnet/Superconductor (F/S) bilayers, where F is a strong 3d ferromagnet (Ni, Ni 0.81 Fe 0.19 (Permalloy), Co 0.5Fe 0.5) and S = Nb, taken from superfluid density measurements rather than resistivity. By regrouping the many physical parameters that appear in theory, we show that the effective exchange energy is determined from the F film thickness d F where T c versus d F begins to flatten out. Using this rearranged theory, we conclude 1) the effective exchange energy, E e x , is about 15 times smaller than measured by ARPES and five times smaller than deduced in previous studies similar to ours; 2) the dirty-limit coherence length, ξ F , for Cooper pairs in F is larger than the electron mean free path, ℓ F ; and 3) the 3d-F/Nb interface is enough of a barrier that Cooper pairs typically must hit it several times before getting through. The Py/Nb and CoFe/Nb interfaces are more transparent than the Ni/Nb interface.
Similar content being viewed by others
References
Buzdin, A.: Rev. Mod. Phys. 77 (3), 935 (2005)
Sidorenko, A., Zdravkov, V., Prepelitsa, A., Helbig, C., Luo, Y., Gsell, S., Schreck, M., Klimm, S., Horn, S., Tagirov, L., Tidecks, R.: Ann. Phys. 12 (12), 37 (2003)
Aarts, J., Geers, J.M.E., Brück, E., Golubov, A.A., Coehoorn, R.: Phys. Rev. B 56 (5), 2779 (1997)
Kim, J., Kwon, J.H., Char, K., Doh, H., Choi, H.Y.: Phys. Rev. B 72 (1), 014518 (2005)
Tagirov, L.: Phys. C Supercond. 307 (1-2), 145 (1998)
Petrovykh, D.Y., Altmann, K.N., Hochst, H., Laubscher, M., Maat, S., Mankey, G.J., Himpsel, F.J.: Appl. Phys. Lett. 73 (23), 3459 (1998)
Houzet, M., Meyer, J.S.: Phys. Rev. B 80 (1), 012505 (2009)
Fominov, Y.V., Chtchelkatchev, N.M., Golubov, A.A.: Phys. Rev. B 66 (1), 014507 (2002)
McMillan, W.: Phys. Rev. 175 (2), 537 (1968)
Lemberger, T.R.: Phys. Rev. Lett. 52 (12), 1029 (1984)
Lemberger, T.R., Yen, Y.: Phys. Rev. B 29 (11), 6384 (1984)
Mancusi, D., Ilyina, E.a., Kushnir, V.N., Prischepa, S.L., Cirillo, C., Attanasio, C.: J. Appl. Phys. 110 (11), 113904 (2011)
Lazar, L., Westerholt, K., Zabel, H., Tagirov, L., Goryunov, Y., Garifyanov, N., Garifullin, I.: Phys. Rev. B 61 (5), 3711 (2000)
Moraru, I.C., Pratt, W.P., Birge, N.O.: Phys. Rev. Lett. 96 (3), 037004 (2006)
Fierz, C., Lee, S.F., Bass, J., Pratt, W.P., Schroeder, P.A.: J. Phys. Condens. Matter 2 (48), 9701 (1990)
Mattheiss, L.: Phys. Rev. B 1 (2), 373 (1970)
De Vries, J.: Thin Solid Films 167 (1-2), 25 (1988)
Jani, A.R., Brener, N.E., Callaway, J.: Phys. Rev. B 38 (14), 9425 (1988)
Lemberger, T.R., Hetel, I., Hauser, A.J., Yang, F.Y.: J. Appl. Phys. 103 (7) (2008)
Turneaure, S.J., Ulm, E.R., Lemberger, T.R.: J. Appl. Phys. 79 (8), 4221 (1996)
Turneaure, S.J., Pesetski, A.A., Lemberger, T.R.: J. Appl. Phys. 83 (8), 4334 (1998)
Lemberger, T., Hetel, I., Knepper, J., Yang, F.: Phys. Rev. B 76 (9), 094515 (2007)
Coey, J.M.D: Magnetism and magnetic materials. Cambridge University Press (2010)
Meservey, R., Tedrow, P.: Phys. Rep. 238 (4), 173 (1994)
Soulen Jr, R.J.: Sci. 282 (5386), 85 (1998)
Upadhyay, S., Palanisami, A., Louie, R., Buhrman, R.: Phys. Rev. Lett. 81 (15), 3247 (1998)
Ashcroft, N.W., Mermin, D.N.: Solid state physics holt, Rinehart, and Winston, New York (1976)
Wakelin, R.J., Yates, E.L.: Proceedings of the physical society. Sect. B 66 (3), 221 (1953)
Lezaic, M., Mavropoulos, P., Blugel, S.: Appl. Phys. Lett. 90 (8), 082504 (2007)
Geers, J.M.E., Hesselberth, M.B.S., Aarts, J., Golubov, A.A.: Phys. Rev. B 64 (9), 094506 (2001)
Gurney, B., Speriosu, V., Nozieres, J.P., Lefakis, H., Wilhoit, D., Need, O.: Phys. Rev. Lett. 71 (24), 4023 (1993)
Dieny, B.: J.Magn. Magn. Mater. 136 (3), 335 (1994)
Demler, E.A., Arnold, G.B., Beasley, M.R.: Phys. Rev. B 55 (22), 15174 (1997)
Tinkham, M.: Introduction to superconductivity. McGraw-Hill, New York (1975)
Acknowledgments
This work was supported in part by NSF grant DMR-0805227. We acknowledge useful discussions with Jan Aarts, Norman Birge, Julia Meyer, and Christoph Strunk.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lemberger, T.R., Hinton, M.J., Yong, J. et al. Anomalously Weak Cooper Pair-breaking by Exchange Energy in Ferromagnet/Superconductor Bilayers. J Supercond Nov Magn 27, 2249–2255 (2014). https://doi.org/10.1007/s10948-014-2591-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-014-2591-3