Magnetic exchange interaction induced by a Josephson current

Physical Review B - Condensed Matter and Materials Physics

Volumn 65, Issue 5, 2002, Pages 1-11

  Waintal, Xavier ^a   Brouwer, Piet W ^a  

^a Laboratory of Atomic and Solid State Physics and Sibley School of Mechanical and Aerospace Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85038293371     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.65.054407     Document Type: Article

References (41)

1. P. Bruno, Phys. Rev. B 52, 411 (1995).
2. M.D. Stiles, Phys. Rev. B 48, 7238 (1993).
3. J.C. Slonczewski, J. Magn. Magn. Mater. 150, 13 (1995).
4. S.O. Demokritov, J. Phys. D 31, 925 (1998).
5. J. Slonczewski, J. Magn. Magn. Mater. 159, L1 (1996).
6. E.B. Myers, D.C. Ralph, J.A. Katine, R.N. Louie, and R.A. Buhrman, Science 285, 867 (1999).
7. J.A. Katine, F.J. Albert, R.A. Buhrman, E.B. Myers, and D.C. Ralph, Phys. Rev. Lett. 84, 3129 (2000).
8. X. Waintal, E.B. Myers, P.W. Brouwer, and D.C. Ralph, Phys. Rev. B 62, 12 317 (2000).
9. For a review, see the collection of articles in IBM J. Res. Dev., 42, (1998);
10. F.J. Himpsel, J.E. Ortega, G.J. Mankey, and R.F. Willis, Adv. Phys. 47, 511 (1998).
11. J.C. Slonczewski, Phys. Rev. B 39, 6995 (1989).
12. M. Büttiker, Y. Imry, and R. Landauer, Phys. Lett. 96A, 365 (1983).
13. X. Waintal and P.W. Brouwer, Phys. Rev. B 63, R220407 (2001).
14. X. Waintal and P.W. Brouwer, (unpublished).
15. V.V. Ryazanov, V.A. Oboznov, A.Yu. Rusanov, A.V. Veretennikov, A.A. Golubov, and J. Aarts, Phys. Rev. Lett. 86, 2427 (2001).
16. I.O. Kulik, Sov. Phys. JETP 22, 841 (1966).
17. H. Shiba and T. Soda, Prog. Theor. Phys. 41, 25 (1969).
18. A.A. Clerk and V. Ambegaokar, Phys. Rev. B 61, 9109 (2000).
19. Y. Tanaka and S. Kashiwaya, Physica C 274, 357 (1997).
20. T. Kontos, M. Aprili, J. Lesueur, and X. Grison, Phys. Rev. Lett. 86, 304 (2001).
21. F.S. Bergeret, A.F. Volkov, and K.B. Efetov, Phys. Rev. Lett. 86, 3140 (2001).
22. E.A. Koshina and V.N. Krivoruchko, Phys. Rev. B 63, 224515 (2001).
23. M.L. Kulic and I.M. Kulic, Phys. Rev. B 63, 104503 (2001).
24. P.G. de Gennes, Superconductivity of Metals and Alloys (Benjamin, New York, 1966).
25. K.K. Likharev, Rev. Mod. Phys. 51, 101 (1979).
26. C.W.J. Beenakker and H. van Houten, in Nanostructures and Mesoscopic Systems, edited by W.P. Kirk (Academic, New York, 1992).
27. C.W.J. Beenakker, Rev. Mod. Phys. 69, 731 (1997).
28. M.D. Stiles, J. Appl. Phys. 79, 5805 (1996);
29. Phys. Rev. B 54, 14 679 (1996).
30. P.W. Brouwer and C.W.J. Beenakker, Chaos, Solitons Fractals 8, 1249 (1997);
31. Note that an overall factor (formula presented) is missing in Eq. (8). See for the correct equation.
32. C.W.J. Beenakker, in Transport Phenomena in Mesoscopic Systems, edited by H. Fukuyama and T. Ando (Springer, Berlin, 1992).
33. P.W. Brouwer and C.W.J. Beenakker, J. Math. Phys. 37, 4904 (1996).
34. A. Brataas, Y.V. Nazarov, and G.E.W. Bauer, Phys. Rev. Lett. 84, 2481 (2000).
35. F. Taddei, S. Sanvito, J.H. Jefferson, and C.J. Lambert, Phys. Rev. Lett. 82, 4938 (1999);
36. V.I. Fal’ko, C.J. Lambert, and A.F. Volkov, Phys. Rev. B 60, 15 394 (1999).
37. A Co-Cu-Co trilayer might not be the best choice of materials for this effect because the Curie temperature of Co is rather large. However, to our knowledge, no ab initio data for weakly ferromagnetic trilayers are available in the literature.
38. A.D. Stone, P.A. Mello, K.A. Muttalib, and J.-L. Pichard, in Mesoscopic Phenomena in Solids, edited by B.L. Altshuler, P.A. Lee, and R.A. Webb (North Holland, Amsterdam, 1991).
39. Ya.B. Bazaliy, B.A. Jones, and Shou-Cheng Zhang, Phys. Rev. B 57, R3213 (1998).
40. D. Jiles, Introduction to Magnetism and Magnetic Materials (Chapman and Hall, London, 1991).
41. The generating function can be easily obtained by calculating the average of (formula presented).