- Letter
- Open Access
Crucial role of interfacial exchange interaction in the temperature dependence of tunnel magnetoresistance
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 exchange interaction between conduction and localized 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 state induced by the exchange interaction. The material dependence of the coupling constant is also discussed on the basis of a nonempirical method.
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References (50)
- S. S. P. Parkin, C. Kaiser, A. Panchula, P. M. Rice, B. Hughes, M. Samant, and S.-H. Yang, Nat. Mater. 3, 862 (2004).
- S. Yuasa, T. Nagahama, A. Fukushima, Y. Suzuki, and K. Ando, Nat. Mater. 3, 868 (2004).
- Y. Sakuraba, M. Hattori, M. Oogane, Y. Ando, H. Kato, A. Sakuma, T. Miyazaki, and H. Kubota, Appl. Phys. Lett. 88, 192508 (2006).
- S. Tsunegi, Y. Sakuraba, M. Oogane, K. Takanashi, and Y. Ando, Appl. Phys. Lett. 93, 112506 (2008).
- T. Ishikawa, N. Itabashi, T. Taira, K. i. Matsuda, T. Uemura, and M. Yamamoto, Appl. Phys. Lett. 94, 092503 (2009).
- N. Tezuka, N. Ikeda, F. Mitsuhashi, and S. Sugimoto, Appl. Phys. Lett. 94, 162504 (2009).
- 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).
- H. Liu, T. Kawami, K. Moges, T. Uemura, M. Yamamoto, F. Shi, and P. M. Voyles, J. Phys. D: Appl. Phys. 48, 164001 (2015).
- 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).
- K. Moges, Y. Honda, H. X. Liu, T. Uemura, M. Yamamoto, Y. Miura, and M. Shirai, Phys. Rev. B 93, 134403 (2016).
- T. Scheike, Q. Xiang, Z. Wen, H. Sukegawa, T. Ohkubo, K. Hono, and S. Mitani, Appl. Phys. Lett. 118, 042411 (2021).
- A. I. Liechtenstein, M. I. Katsnelson, V. P. Antropov, and V. A. Gubanov, J. Magn. Magn. Mater. 67, 65 (1987).
- M. I. Katsnelson and A. I. Lichtenstein, Phys. Rev. B 61, 8906 (2000).
- M. Pajda, J. Kudrnovský, I. Turek, V. Drchal, and P. Bruno, Phys. Rev. B 64, 174402 (2001).
- Y. O. Kvashnin, O. Grånäs, I. Di Marco, M. I. Katsnelson, A. I. Lichtenstein, and O. Eriksson, Phys. Rev. B 91, 125133 (2015).
- M. Ležaić, P. Mavropoulos, J. Enkovaara, G. Bihlmayer, and S. Blügel, Phys. Rev. Lett. 97, 026404 (2006).
- 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).
- H. Shinya, S. Kou, T. Fukushima, A. Masago, K. Sato, H. Katayama-Yoshida, and H. Akai, Appl. Phys. Lett. 117, 042402 (2020).
- K. Nawa, I. Kurniawan, K. Masuda, Y. Miura, C. E. Patrick, and J. B. Staunton, Phys. Rev. B 102, 054424 (2020).
- A. C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, UK, 1993).
- A different theoretical study [22] also suggested the significance of spin-flip scattering for the reduction of the TMR ratio.
- Y. Miura, K. Abe, and M. Shirai, Phys. Rev. B 83, 214411 (2011).
- In the case of Fe, we considered nine (, , and ) orbitals and adopted the hopping integrals and on-site potentials in Ref. [24]. For MgO, four ( and ) orbitals were taken into account and the parameters in Ref. [25] were used.
- D. A. Papaconstantopoulos, Handbook of the Band Structure of Elemental Solids (Springer, New York, 2015).
- L. Tjeng, A. Vos, and G. Sawatzky, Surf. Sci. 235, 269 (1990).
- M. Takahashi and K. Mitsui, Phys. Rev. B 54, 11298 (1996).
- H. Itoh, T. Ohsawa, and J. Inoue, Phys. Rev. Lett. 84, 2501 (2000).
- 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 exchange interaction.
- P. A. Lee and D. S. Fisher, Phys. Rev. Lett. 47, 882 (1981).
- A. Umerski, Phys. Rev. B 55, 5266 (1997).
- W. A. Harrison, Electronic Structure and the Properties of Solids (Dover, New York, 1989).
- J. Mathon, Phys. Rev. B 56, 11810 (1997).
- J. Mathon, A. Umerski, and M. Villeret, Phys. Rev. B 55, 14378 (1997).
- We focused on the central region of the first Brillouin zone, since each conductance does not have significant values outside of this region.
- Note that is more than one order larger than and thus .
- M. Belmoubarik, H. Sukegawa, T. Ohkubo, S. Mitani, and K. Hono, Appl. Phys. Lett. 108, 132404 (2016).
- W. H. Butler, X.-G. Zhang, T. C. Schulthess, and J. M. MacLaren, Phys. Rev. B 63, 054416 (2001).
- J. Mathon and A. Umerski, Phys. Rev. B 63, 220403(R) (2001).
- J. R. Schrieffer and P. A. Wolff, Phys. Rev. 149, 491 (1966).
- K. Yosida, Theory of Magnetism (Springer, Heidelberg, 1996).
- S. Yuasa, A. Fukushima, H. Kubota, Y. Suzuki, and K. Ando, Appl. Phys. Lett. 89, 042505 (2006).
- 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).
- 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).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996).
- M. van Setten, M. Giantomassi, E. Bousquet, M. Verstraete, D. Hamann, X. Gonze, and G.-M. Rignanese, Comput. Phys. Commun. 226, 39 (2018).
- N. Marzari and D. Vanderbilt, Phys. Rev. B 56, 12847 (1997).
- I. Souza, N. Marzari, and D. Vanderbilt, Phys. Rev. B 65, 035109 (2001).
- We used the same tight-binding parameters of bcc Fe in Ref. [24] for all the values of for simplicity.
- A. M. Oleś, Phys. Rev. B 28, 327 (1983).
- K. Momma and F. Izumi, J. Appl. Crystallogr. 44, 1272 (2011).