Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Crucial role of interfacial s−d exchange interaction in the temperature dependence of tunnel magnetoresistance

Keisuke Masuda1,*, Terumasa Tadano1, and Yoshio Miura1,2

  • 1Research Center for Magnetic and Spintronic Materials, National Institute for Materials Science (NIMS), Tsukuba 305-0047, Japan
  • 2Center for Spintronics Research Network, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan

  • *MASUDA.Keisuke@nims.go.jp

Phys. Rev. B 104, L180403 – Published 3 November, 2021

DOI: https://doi.org/10.1103/PhysRevB.104.L180403

Abstract

The tunnel magnetoresistance (TMR) is one of the most important spintronic phenomena but its reduction at finite temperature is a severe drawback for applications. Here, we reveal a crucial determinant of the drawback, that is, the s−d exchange interaction between conduction s and localized d electrons at interfacial ferromagnetic layers. By calculating the temperature dependence of the TMR ratio in Fe/MgO/Fe(001), we show that the obtained TMR ratio significantly decreases with increasing temperature owing to the spin-flip scattering in the Δ1 state induced by the s−d exchange interaction. The material dependence of the coupling constant Jsd is also discussed on the basis of a nonempirical method.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (50)

  1. S. S. P. Parkin, C. Kaiser, A. Panchula, P. M. Rice, B. Hughes, M. Samant, and S.-H. Yang, Nat. Mater. 3, 862 (2004).
  2. S. Yuasa, T. Nagahama, A. Fukushima, Y. Suzuki, and K. Ando, Nat. Mater. 3, 868 (2004).
  3. Y. Sakuraba, M. Hattori, M. Oogane, Y. Ando, H. Kato, A. Sakuma, T. Miyazaki, and H. Kubota, Appl. Phys. Lett. 88, 192508 (2006).
  4. S. Tsunegi, Y. Sakuraba, M. Oogane, K. Takanashi, and Y. Ando, Appl. Phys. Lett. 93, 112506 (2008).
  5. T. Ishikawa, N. Itabashi, T. Taira, K. i. Matsuda, T. Uemura, and M. Yamamoto, Appl. Phys. Lett. 94, 092503 (2009).
  6. N. Tezuka, N. Ikeda, F. Mitsuhashi, and S. Sugimoto, Appl. Phys. Lett. 94, 162504 (2009).
  7. G.-F. Li, Y. Honda, H.-X. Liu, K.-I. Matsuda, M. Arita, T. Uemura, M. Yamamoto, Y. Miura, M. Shirai, T. Saito, F. Shi, and P. M. Voyles, Phys. Rev. B 89, 014428 (2014).
  8. H. Liu, T. Kawami, K. Moges, T. Uemura, M. Yamamoto, F. Shi, and P. M. Voyles, J. Phys. D: Appl. Phys. 48, 164001 (2015).
  9. B. Hu, K. Moges, Y. Honda, H. X. Liu, T. Uemura, M. Yamamoto, J. I. Inoue, and M. Shirai, Phys. Rev. B 94, 094428 (2016).
  10. K. Moges, Y. Honda, H. X. Liu, T. Uemura, M. Yamamoto, Y. Miura, and M. Shirai, Phys. Rev. B 93, 134403 (2016).
  11. T. Scheike, Q. Xiang, Z. Wen, H. Sukegawa, T. Ohkubo, K. Hono, and S. Mitani, Appl. Phys. Lett. 118, 042411 (2021).
  12. A. I. Liechtenstein, M. I. Katsnelson, V. P. Antropov, and V. A. Gubanov, J. Magn. Magn. Mater. 67, 65 (1987).
  13. M. I. Katsnelson and A. I. Lichtenstein, Phys. Rev. B 61, 8906 (2000).
  14. M. Pajda, J. Kudrnovský, I. Turek, V. Drchal, and P. Bruno, Phys. Rev. B 64, 174402 (2001).
  15. Y. O. Kvashnin, O. Grånäs, I. Di Marco, M. I. Katsnelson, A. I. Lichtenstein, and O. Eriksson, Phys. Rev. B 91, 125133 (2015).
  16. M. Ležaić, P. Mavropoulos, J. Enkovaara, G. Bihlmayer, and S. Blügel, Phys. Rev. Lett. 97, 026404 (2006).
  17. L. Chioncel, Y. Sakuraba, E. Arrigoni, M. I. Katsnelson, M. Oogane, Y. Ando, T. Miyazaki, E. Burzo, and A. I. Lichtenstein, Phys. Rev. Lett. 100, 086402 (2008).
  18. H. Shinya, S. Kou, T. Fukushima, A. Masago, K. Sato, H. Katayama-Yoshida, and H. Akai, Appl. Phys. Lett. 117, 042402 (2020).
  19. K. Nawa, I. Kurniawan, K. Masuda, Y. Miura, C. E. Patrick, and J. B. Staunton, Phys. Rev. B 102, 054424 (2020).
  20. A. C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, UK, 1993).
  21. A different theoretical study [22] also suggested the significance of spin-flip scattering for the reduction of the TMR ratio.
  22. Y. Miura, K. Abe, and M. Shirai, Phys. Rev. B 83, 214411 (2011).
  23. In the case of Fe, we considered nine (s, p, and d) orbitals and adopted the hopping integrals and on-site potentials in Ref. [24]. For MgO, four (s and p) orbitals were taken into account and the parameters in Ref. [25] were used.
  24. D. A. Papaconstantopoulos, Handbook of the Band Structure of Elemental Solids (Springer, New York, 2015).
  25. L. Tjeng, A. Vos, and G. Sawatzky, Surf. Sci. 235, 269 (1990).
  26. M. Takahashi and K. Mitsui, Phys. Rev. B 54, 11298 (1996).
  27. H. Itoh, T. Ohsawa, and J. Inoue, Phys. Rev. Lett. 84, 2501 (2000).
  28. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevB.104.L180403 for the technical details of the CPA calculation and the effect of the p−d exchange interaction.
  29. P. A. Lee and D. S. Fisher, Phys. Rev. Lett. 47, 882 (1981).
  30. A. Umerski, Phys. Rev. B 55, 5266 (1997).
  31. W. A. Harrison, Electronic Structure and the Properties of Solids (Dover, New York, 1989).
  32. J. Mathon, Phys. Rev. B 56, 11810 (1997).
  33. J. Mathon, A. Umerski, and M. Villeret, Phys. Rev. B 55, 14378 (1997).
  34. We focused on the central region of the first Brillouin zone, since each conductance does not have significant values outside of this region.
  35. Note that ΓP,↑ is more than one order larger than ΓP,↓ and thus ΓP≈ΓP,↑.
  36. M. Belmoubarik, H. Sukegawa, T. Ohkubo, S. Mitani, and K. Hono, Appl. Phys. Lett. 108, 132404 (2016).
  37. W. H. Butler, X.-G. Zhang, T. C. Schulthess, and J. M. MacLaren, Phys. Rev. B 63, 054416 (2001).
  38. J. Mathon and A. Umerski, Phys. Rev. B 63, 220403(R) (2001).
  39. J. R. Schrieffer and P. A. Wolff, Phys. Rev. 149, 491 (1966).
  40. K. Yosida, Theory of Magnetism (Springer, Heidelberg, 1996).
  41. S. Yuasa, A. Fukushima, H. Kubota, Y. Suzuki, and K. Ando, Appl. Phys. Lett. 89, 042505 (2006).
  42. K. Nakamura, Y. Yoshimoto, Y. Nomura, T. Tadano, M. Kawamura, T. Kosugi, K. Yoshimi, T. Misawa, and Y. Motoyama, Comput. Phys. Commun. 261, 107781 (2021).
  43. P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, G. L. Chiarotti, M. Cococcioni, I. Dabo, A. Dal Corso, S. de Gironcoli, S. Fabris, G. Fratesi, R. Gebauer, U. Gerstmann, C. Gougoussis, A. Kokalj, M. Lazzeri, L. Martin-Samos et al., J. Phys.: Condens. Matter 21, 395502 (2009).
  44. J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996).
  45. M. van Setten, M. Giantomassi, E. Bousquet, M. Verstraete, D. Hamann, X. Gonze, and G.-M. Rignanese, Comput. Phys. Commun. 226, 39 (2018).
  46. N. Marzari and D. Vanderbilt, Phys. Rev. B 56, 12847 (1997).
  47. I. Souza, N. Marzari, and D. Vanderbilt, Phys. Rev. B 65, 035109 (2001).
  48. We used the same tight-binding parameters of bcc Fe in Ref. [24] for all the values of x for simplicity.
  49. A. M. Oleś, Phys. Rev. B 28, 327 (1983).
  50. K. Momma and F. Izumi, J. Appl. Crystallogr. 44, 1272 (2011).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation