Abstract
We theoretically study the long-range spin- triplet superconductivity in d wave superconductor/ ferromagnet/ferromagnet (S/F1/F2) trilayer junction, in which the magnetization of F1 layer could be rotated in the y–z plane by an external magnetic field. The four-component Eilenberger equations were constructed to calculate the superconducting order parameters and density of states (DOS). Near the clean limit, the p wave equal-spin triplet component could be induced when the magnetization directions of F1/F2 layers are non-collinear, and the DOS exhibits a split zero-bias conductance peak. The various parameters such as ferromagnetic exchange energy, thickness of ferromagnetic layers, and angles between F1/F2 magnetization directions are studied for the effect on inducing triplet superconductivity. By magnetic field controlling the emergence of equal-spin triplet pairings or not, such a tunable S/F1/F2 trilayer junction based on long-range spin-triplet superconductivity could be used as a superconducting switch device, which would open up a new view of spintronics.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10948-016-3482-6/MediaObjects/10948_2016_3482_Fig1_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10948-016-3482-6/MediaObjects/10948_2016_3482_Fig2_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10948-016-3482-6/MediaObjects/10948_2016_3482_Fig3_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10948-016-3482-6/MediaObjects/10948_2016_3482_Fig4_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10948-016-3482-6/MediaObjects/10948_2016_3482_Fig5_HTML.gif)
Similar content being viewed by others
References
Ishida, K., Mukuda, H., Kitaoka, Y., Asayama, K., Mao, Z., Mori, Y., Maeno, Y.: Nature 396, 658 (1998)
Tou, H., Kitaoka, Y., Asayama, K., Kimura, N., Ōnuki, Y., Yamamoto, E., Maezawa, K.: Phys. Rev. Lett. 77, 1374 (1996)
Clogston, A.M.: Phys. Rev. Lett 9, 266 (1962)
Geers, J., Brück, E., Golubov, A., Aarts, J.: Czech. J. Phys. 46, 733 (1996)
Jiang, J.S., Davidovic, D., Reich, D.H., Chien, C.L.: Phys. Rev. Lett. 74, 314 (1995)
Garifullin, I.A., Tikhonov, D.A., Garif’yanov, N.N., Lazar, L., Goryunov, Y.V., Khlebnikov, S.Y., Tagirov, L.R., Westerholt, K., Zabel, H.: Phys. Rev. B 66, 020505 (2002)
Ryazanov, V.V., Oboznov, V.A., Rusanov, A.Y., Veretennikov, A.V., Golubov, A.A., Aarts, J.: Phys. Rev. Lett. 86, 2427 (2001)
Kulić, M.L., Kulić, I.M.: Phys. Rev. B 63, 104503 (2001)
Giroud, M., Courtois, H., Hasselbach, K., Mailly, D., Pannetier, B.: Phys. Rev. B 58, R11872 (1998)
Petrashov, V., Sosnin, I., Cox, I., Parsons, A., Troadec, C.: Phys. Rev. Lett. 83, 3281 (1999)
Keizer, R.S., Goennenwein, S.T., Klapwijk, T.M., Miao, G., **ao, G., Gupta, A.: Nature 439, 825 (2006)
Wang, J., Singh, M., Tian, M., Kumar, N., Liu, B., Shi, C., Jain, J., Samarth, N., Mallouk, T., Chan, M.: Nat. Phys 6, 389 (2010)
Lawrence, M., Giordano, N.: J. Phys.: Condens. Matter 11, 1089 (1999)
Sefrioui, Z., Arias, D., Peña, V., Villegas, J.E., Varela, M., Prieto, P., León, C., Martinez, J.L., Santamaria, J.: Phys. Rev. B 67, 214511 (2003)
Peña, V., Sefrioui, Z., Arias, D., Leon, C., Santamaria, J., Varela, M., Pennycook, S.J., Martinez, J.L.: Phys. Rev. B 69, 224502 (2004)
Bergeret, F.S., Volkov, A.F., Efetov, K.B.: Phys. Rev. Lett. 86, 4096 (2001)
Volkov, A.F., Bergeret, F.S., Efetov, K.B.: Phys. Rev. Lett. 90, 117006 (2003)
Abrahams, E., Balatsky, A., Schrieffer, J.R., Allen, P.B.: Phys. Rev. B 47, 513 (1993)
Golubov, A.A., Tanaka, Y., Asano, Y., Tanuma, Y.: J. Phys.: Condens. Matter 21, 164208 (2009)
Asano, Y., Yokoyama, T., Tanaka, Y., Golubov, A.A.: Phys. Status Solidi A 205, 1023 (2008)
Asano, Y., Golubov, A.A., Fominov, Y.V., Tanaka, Y.: Phys. Rev. Lett. 107, 087001 (2011)
Berezinskii, V.: JETP Lett 20, 287 (1974)
Lu, W.J., Bang, Y.K., Char, K.: Phys. Rev. B 81, 144514 (2010)
Eschrig, M., Kopu, J., Cuevas, J.C., Schon, G.: Phys. Rev. Lett. 90, 137003 (2003)
Niu, Z.P., **ng, D.Y.: Phys. Rev. Lett. 98, 057005 (2007)
Demler, E., Arnold, G., Beasley, M.: Phys. Rev. B 55, 15174 (1997)
Eilenberger, G.: Z. Angew. Phys 214, 195 (1968)
Tanaka, Y., Kashiwaya, S.: Phys. Rev. Lett. 74, 3451 (1995)
Eschrig, M., Lofwander, T.: Nat. Phys. 4, 138 (2008)
Sangiorgio, P.: The Superconducting Proximity Effect in Strong Ferromagnets. Stanford University Press, California (2008)
Acknowledgments
This work was supported by the National Natural Science Foundation of China under contract nos. 11274311 and U1232139.
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Wang, W., Shao, D.F., **ao, R.C. et al. Long-Range Spin-Triplet Superconductivity Induced by Magnetic Field in d Wave Superconductor/Ferromagnet Hybrid System. J Supercond Nov Magn 29, 1741–1746 (2016). https://doi.org/10.1007/s10948-016-3482-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-016-3482-6