- Access by Xinjiang University
Gilbert Damping Parameter in MgO-Based Magnetic Tunnel Junctions from First Principles
Phys. Rev. Applied 7, 034004 – Published 6 March, 2017
DOI: https://doi.org/10.1103/PhysRevApplied.7.034004
Abstract
We perform a first-principles study of the Gilbert damping parameter () in normal-metal/MgO-cap/ferromagnet/MgO-barrier/ferromagnetic magnetic tunnel junctions. The damping is enhanced by interface spin pumping, which can be parametrized by the spin-mixing conductance (). The calculated dependence of Gilbert damping on the thickness of the MgO capping layer is consistent with experiment and indicates that the decreases in with increasing thickness of the MgO capping layer is caused by suppression of spin pumping. Smaller can be achieved by using a clean interface and alloys. For a thick MgO capping layer, the imaginary part of the spin-mixing conductance nearly equals the real part, and the large imaginary mixing conductance implies that the change in the frequency of ferromagnetic resonance can be observed experimentally. The normal-metal cap significantly affects the Gilbert damping.
Physics Subject Headings (PhySH)
Article Text
References (40)
- S. S. Parkin, C. Kaiser, A. Panchula, P. M. Rice, B. Hughes, M. Samant, and S.-H. Yang, Giant tunnelling magnetoresistance at room temperature with MgO (100) tunnel barriers, Nat. Mater. 3, 862 (2004).
- S. Yuasa, T. Nagahama, A. Fukushima, Y. Suzuki, and K. Ando, Giant room-temperature magnetoresistance in single-crystal magnetic tunnel junctions, Nat. Mater. 3, 868 (2004).
- W. H. Butler, X.-G. Zhang, T. C. Schulthess, and J. M. MacLaren, Spin-dependent tunneling conductance of sandwiches, Phys. Rev. B 63, 054416 (2001).
- J. Mathon and A. Umerski, Theory of tunneling magnetoresistance of an epitaxial junction, Phys. Rev. B 63, 220403 (2001).
- S. Ikeda, J. Hayakawa, Y. Ashizawa, Y. M. Lee, K. Miura, H. Hasegawa, M. Tsunoda, F. Matsukura, and H. Ohno, Tunnel magnetoresistance of 604% at 300 K by suppression of Ta diffusion in pseudo-spin-valves annealed at high temperature, Appl. Phys. Lett. 93, 082508 (2008).
- L. Jiang, H. Naganuma, M. Oogane, and Y. Ando, Large tunnel magnetoresistance of 1056% at room temperature in MgO based double barrier magnetic tunnel junction, Appl. Phys. Express 2, 083002 (2009).
- S. Ikeda, K. Miura, H. Yamamoto, K. Mizunuma, H. Gan, M. Endo, S. Kanai, J. Hayakawa, F. Matsukura, and H. Ohno, A perpendicular-anisotropy CoFeB-MgO magnetic tunnel junction, Nat. Mater. 9, 721 (2010).
- H. Sato, M. Yamanouchi, S. Ikeda, S. Fukami, F. Matsukura, and H. Ohno, Perpendicular-anisotropy CoFeB-MgO magnetic tunnel junctions with a recording structure, Appl. Phys. Lett. 101, 022414 (2012).
- C.-W. Cheng, W. Feng, G. Chern, C. M. Lee, and T. Wu, Effect of cap layer thickness on the perpendicular magnetic anisotropy in top structures, J. Appl. Phys. 110, 033916 (2011).
- D. D. Lam, F. Bonell, S. Miwa, Y. Shiota, K. Yakushiji, H. Kubota, T. Nozaki, A. Fukushima, S. Yuasa, and Y. Suzuki, Composition dependence of perpendicular magnetic anisotropy in (, 10, 60) multilayers, J. Magn. 18, 5 (2013).
- K. Yakushiji, A. Fukushima, H. Kubota, M. Konoto, and S. Yuasa, Ultralow-voltage spin-transfer switching in perpendicularly magnetized magnetic tunnel junctions with synthetic antiferromagnetic reference layer, Appl. Phys. Express 6, 113006 (2013).
- A. Slavin and V. Tiberkevich, Nonlinear auto-oscillator theory of microwave generation by spin-polarized current, IEEE Trans. Magn. 45, 1875 (2009).
- H. Kubota, K. Yakushiji, A. Fukushima, S. Tamaru, M. Konoto, T. Nozaki, S. Ishibashi, T. Saruya, S. Yuasa, Tomohiro Taniguchi, H. Arai, and H. Imamura, Spin-torque oscillator based on magnetic tunnel junction with a perpendicularly magnetized free layer and in-plane magnetized polarizer, Appl. Phys. Express 6, 103003 (2013).
- S. Miwa, S. Ishibashi, H. Tomita, T. Nozaki, E. Tamura, K. Ando, N. Mizuochi, T. Saruya, H. Kubota, K. Yakushiji et al., Highly sensitive nanoscale spin-torque diode, Nat. Mater. 13, 50 (2014).
- J. C. Slonczewski, Current-driven excitation of magnetic multilayers, J. Magn. Magn. Mater. 159, L1 (1996).
- X. Liu, W. Zhang, M. J. Carter, and G. Xiao, Ferromagnetic resonance and damping properties of CoFeB thin films as free layers in MgO-based magnetic tunnel junctions, J. Appl. Phys. 110, 033910 (2011).
- S. Iihama, Q. Ma, T. Kubota, S. Mizukami, Y. Ando, and T. Miyazaki, Damping of magnetization precession in perpendicularly magnetized CoFeB alloy thin films, Appl. Phys. Express 5, 083001 (2012).
- T. Devolder, P.-H. Ducrot, J.-P. Adam, I. Barisic, N. Vernier, J.-V. Kim, B. Ockert, and D. Ravelosona, Damping of ultrathin films with perpendicular magnetic anisotropy, Appl. Phys. Lett. 102, 022407 (2013).
- L. Berger, Emission of spin waves by a magnetic multilayer traversed by a current, Phys. Rev. B 54, 9353 (1996).
- S. Mangin, D. Ravelosona, J. A. Katine, M. J. Carey, B. D. Terris, and E. E. Fullerton, Current-induced magnetization reversal in nanopillars with perpendicular anisotropy, Nat. Mater. 5, 210 (2006).
- M. Konoto, H. Imamura, T. Taniguchi, K. Yakushiji, H. Kubota, A. Fukushima, K. Ando, and S. Yuasa, Effect of MgO cap layer on Gilbert damping of FeB electrode layer in MgO-based magnetic tunnel junctions, Appl. Phys. Express 6, 073002 (2013).
- S. Tsunegi, H. Kubota, S. Tamaru, K. Yakushiji, M. Konoto, A. Fukushima, T. Taniguchi, H. Arai, H. Imamura, and S. Yuasa, Damping parameter and interfacial perpendicular magnetic anisotropy of FeB nanopillar sandwiched between MgO barrier and cap layers in magnetic tunnel junctions, Appl. Phys. Express 7, 033004 (2014).
- H. Kubota, S. Ishibashi, T. Saruya, T. Nozaki, A. Fukushima, K. Yakushiji, K. Ando, Y. Suzuki, and S. Yuasa, Enhancement of perpendicular magnetic anisotropy in FeB free layers using a thin MgO cap layer, J. Appl. Phys. 111, 07C723 (2012).
- H. Yamamoto, J. Hayakawa, K. Miura, K. Ito, H. Matsuoka, S. Ikeda, and H. Ohno, Dependence of magnetic anisotropy in free layers on capping layers in MgO-based magnetic tunnel junctions with in-plane easy axis, Appl. Phys. Express 5, 053002 (2012).
- T. Takenaga, Y. Tsuzaki, C. Yoshida, Y. Yamazaki, A. Hatada, M. Nakabayashi, Y. Iba, A. Takahashi, H. Noshiro, K. Tsunoda, M. Aoki, T. Furukawa, H. Fukumoto, and T. Sugii, Magnetic tunnel junctions for magnetic field sensor by using CoFeB sensing layer capped with MgO film, J. Appl. Phys. 115, 17E524 (2014).
- Y. Tserkovnyak, A. Brataas, and G. E. W. Bauer, Enhanced Gilbert Damping in Thin Ferromagnetic Films, Phys. Rev. Lett. 88, 117601 (2002).
- Y. Tserkovnyak, A. Brataas, G. E. W. Bauer, and B. I. Halperin, Nonlocal magnetization dynamics in ferromagnetic heterostructures, Rev. Mod. Phys. 77, 1375 (2005).
- T. Moriyama, R. Cao, X. Fan, G. Xuan, B. K. Nikolić, Y. Tserkovnyak, J. Kolodzey, and J. Q. Xiao, Tunnel Barrier Enhanced Voltage Signal Generated by Magnetization Precession of a Single Ferromagnetic Layer, Phys. Rev. Lett. 100, 067602 (2008).
- A. Brataas, G. E. W. Bauer, and P. J. Kelly, Non-collinear magnetoelectronics, Phys. Rep. 427, 157 (2006).
- A. Brataas, Y. Tserkovnyak, G. E. W. Bauer, and P. J. Kelly, Spin pumping and spin transfer, arXiv:1108.0385.
- J. Xiao, G. E. W. Bauer, K. C. Uchida, E. Saitoh, and S. Maekawa, Theory of magnon-driven spin Seebeck effect, Phys. Rev. B 81, 214418 (2010).
- M. Weiler, M. Althammer, M. Schreier, J. Lotze, M. Pernpeintner, S. Meyer, H. Huebl, R. Gross, A. Kamra, J. Xiao, Y.-T. Chen, H. J. Jiao, G. E. W. Bauer, and S. T. B. Goennenwein, Experimental Test of the Spin Mixing Interface Conductivity Concept, Phys. Rev. Lett. 111, 176601 (2013).
- O. Robach, G. Renaud, and A. Barbier, Structure and morphology of the interface during in situ growth at room temperature, Phys. Rev. B 60, 5858 (1999).
- I. Turek, V. Drchal, J. Kudrnovský, M. Šob, and P. Weinberger, Electronic Structure of Disordered Alloys, Surfaces and Interfaces (Springer, New York, 1997).
- S.-Z. Wang, K. Xia, and G. E. W. Bauer, Thermoelectricity and disorder of magnetic tunnel junctions, Phys. Rev. B 90, 224406 (2014).
- Y. Ke, K. Xia, and H. Guo, Disorder Scattering in Magnetic Tunnel Junctions: Theory of Nonequilibrium Vertex Correction, Phys. Rev. Lett. 100, 166805 (2008).
- M. Zwierzycki, Y. Tserkovnyak, P. J. Kelly, A. Brataas, and G. E. W. Bauer, First-principles study of magnetization relaxation enhancement and spin transfer in thin magnetic films, Phys. Rev. B 71, 064420 (2005).
- J. C. Sankey, Y.-T. Cui, J. Z. Sun, J. C. Slonczewski, R. A. Buhrman, and D. C. Ralph, Measurement of the spin-transfer-torque vector in magnetic tunnel junctions, Nat. Phys. 4, 67 (2008).
- A. Brataas, Y. V. Nazarov, and G. E. W. Bauer, Spin-transport in multi-terminal normal metal-ferromagnet systems with non-collinear magnetizations, Eur. Phys. J. B 22, 99 (2001).
- J. C. Slonczewski, Currents and torques in metallic magnetic multilayers, J. Magn. Magn. Mater. 247, 324 (2002).