Current-Driven Domain Wall Dynamics in Magnetic …
147
74. S.G. Je, D. H. Kim, S.C. Yoo, B.C. Min, K.J. Lee, S.B. Choe, Asymmetric magnetic domainwall motion by the Dzyaloshinskii-Moriya interaction. Phys. Rev. B Condens. Matter Mater.
Phys. (2013)
75. A. Fert, V. Cros, J. Sampaio, Skyrmions on the track. Nature Nanotechnology (2013)
76. L. Liu, O.J. Lee, T.J. Gudmundsen, D.C. Ralph, R.A. Buhrman, Current-induced switching of
perpendicularly magnetized magnetic layers using spin torque from the spin hall effect. Phys.
Rev. Lett. (2012)
77. L. Liu, C.F. Pai, Y. Li, H.W. Tseng, D.C. Ralph, R.A. Buhrman, Spin-torque switching with
the giant spin hall effect of tantalum. Science (80-) (2012)
78. J. Sinova, S.O. Valenzuela, J. Wunderlich, C.H. Back, T. Jungwirth, Spin Hall effects. Rev.
Mod. Phys. (2015)
79. S.H. Yang, S. Parkin, Novel domain wall dynamics in synthetic antiferromagnets. J. Phys.
Conden. Mat. (2017)
80. P.P.J. Haazen, E. Murè, J.H. Franken, R. Lavrijsen, H.J.M. Swagten, B. Koopmans, Domain
wall depinning governed by the spin Hall effect. Nat. Mater. (2013)
81. J. Kim et al., Layer thickness dependence of the current-induced effective field vector in
Ta|CoFeB|MgO. Nat. Mater. (2013)
82. P. Sethi, S. Krishnia, S.H. Li, W.S. Lew, Modulation of spin-orbit torque efficiency by thickness
control of heavy metal layers in Co/Pt multilayers. J. Magn. Magn. Mater. (2017)
83. M. Hayashi, J. Kim, M. Yamanouchi, H. Ohno, Quantitative characterization of the spin-orbit
torque using harmonic Hall voltage measurements. Phys. Rev. B Condens. Matter Mater. Phys.
(2014)
84. F. Luo et al. Simultaneous determination of effective spin-orbit torque fields in magnetic
structures with in-plane anisotropy. Phys. Rev. B (2017)
85. I. Purnama, I.S. Kerk, G.J. Lim, W.S. Lew, Coupled Néel domain wall motion in sandwiched
perpendicular magnetic anisotropy nanowires. Sci. Rep. (2015)
86. S. H. Yang, K.S. Ryu, S. Parkin, Domain-wall velocities of up to 750 m s-1driven by exchangecoupling torque in synthetic antiferromagnets. Nat. Nanotechnol. (2015)
87. S.S.P. Parkin, D. Mauri, Spin engineering: Direct determination of the Ruderman-KittelKasuya-Yosida far-field range function in ruthenium. Phys. Rev. B (1991)
88. S.S.P. Parkin, R. Bhadra, K.P. Roche, Oscillatory magnetic exchange coupling through thin
copper layers. Phys. Rev. Lett. (1991)
89. S. Krishnia et al., Role of RKKY torque on domain wall motion in synthetic antiferromagnetic
nanowires with opposite spin Hall angles. Sci. Rep. (2017)
90. Y.J. Chang, A. Canizo-Cabrera, V. Garcia-Vazquez, Y.H. Chang, T.H. Wu, Perpendicular
magnetic tunnel junctions with synthetic antiferromagnetic pinned layers based on [Co/Pd]
multilayers. J. Appl. Phys. (2013)
91. A. Vansteenkiste, J. Leliaert, M. Dvornik, M. Helsen, F. Garcia-Sanchez, B. Van Waeyenberge,
The design and verification of MuMax3. AIP Adv. (2014)
92. M.J. Donahue, D.G. Porter, Exchange energy formulations for 3D micromagnetics. Phys. B
Condens. Matt. (2004)
93. W.F. Brown, Thermal fluctuations of a single-domain particle. Phys. Rev. (1963)
94. H. Guchang, H. Jiancheng, S.C. Hin, M. Tran, L.S. Ter, Switching methods in magnetic random
access memory for low power applications. J. Phys. D. Appl. Phys. (2015)
95. L. Thomas, G. Jan, S. Le, P.K. Wang, Quantifying data retention of perpendicular spintransfer-torque magnetic random access memory chips using an effective thermal stability
factor method. Appl. Phys. Lett. (2015)
96. K. Garello et al., Symmetry and magnitude of spin-orbit torques in ferromagnetic heterostructures. Nat. Nanotechnol. (2013)
97. W. Zhang, W. Han, X. Jiang, S.H. Yang, S.S.P. Parkin, Role of transparency of platinumferromagnet interfaces in determining the intrinsic magnitude of the spin Hall effect. Nat.
Phys. (2015)
98. C. Stamm et al.,Magneto-Optical Detection of the Spin Hall Effect in Pt and W Thin Films.
Phys. Rev. Lett. (2017)
147
74. S.G. Je, D. H. Kim, S.C. Yoo, B.C. Min, K.J. Lee, S.B. Choe, Asymmetric magnetic domainwall motion by the Dzyaloshinskii-Moriya interaction. Phys. Rev. B Condens. Matter Mater.
Phys. (2013)
75. A. Fert, V. Cros, J. Sampaio, Skyrmions on the track. Nature Nanotechnology (2013)
76. L. Liu, O.J. Lee, T.J. Gudmundsen, D.C. Ralph, R.A. Buhrman, Current-induced switching of
perpendicularly magnetized magnetic layers using spin torque from the spin hall effect. Phys.
Rev. Lett. (2012)
77. L. Liu, C.F. Pai, Y. Li, H.W. Tseng, D.C. Ralph, R.A. Buhrman, Spin-torque switching with
the giant spin hall effect of tantalum. Science (80-) (2012)
78. J. Sinova, S.O. Valenzuela, J. Wunderlich, C.H. Back, T. Jungwirth, Spin Hall effects. Rev.
Mod. Phys. (2015)
79. S.H. Yang, S. Parkin, Novel domain wall dynamics in synthetic antiferromagnets. J. Phys.
Conden. Mat. (2017)
80. P.P.J. Haazen, E. Murè, J.H. Franken, R. Lavrijsen, H.J.M. Swagten, B. Koopmans, Domain
wall depinning governed by the spin Hall effect. Nat. Mater. (2013)
81. J. Kim et al., Layer thickness dependence of the current-induced effective field vector in
Ta|CoFeB|MgO. Nat. Mater. (2013)
82. P. Sethi, S. Krishnia, S.H. Li, W.S. Lew, Modulation of spin-orbit torque efficiency by thickness
control of heavy metal layers in Co/Pt multilayers. J. Magn. Magn. Mater. (2017)
83. M. Hayashi, J. Kim, M. Yamanouchi, H. Ohno, Quantitative characterization of the spin-orbit
torque using harmonic Hall voltage measurements. Phys. Rev. B Condens. Matter Mater. Phys.
(2014)
84. F. Luo et al. Simultaneous determination of effective spin-orbit torque fields in magnetic
structures with in-plane anisotropy. Phys. Rev. B (2017)
85. I. Purnama, I.S. Kerk, G.J. Lim, W.S. Lew, Coupled Néel domain wall motion in sandwiched
perpendicular magnetic anisotropy nanowires. Sci. Rep. (2015)
86. S. H. Yang, K.S. Ryu, S. Parkin, Domain-wall velocities of up to 750 m s-1driven by exchangecoupling torque in synthetic antiferromagnets. Nat. Nanotechnol. (2015)
87. S.S.P. Parkin, D. Mauri, Spin engineering: Direct determination of the Ruderman-KittelKasuya-Yosida far-field range function in ruthenium. Phys. Rev. B (1991)
88. S.S.P. Parkin, R. Bhadra, K.P. Roche, Oscillatory magnetic exchange coupling through thin
copper layers. Phys. Rev. Lett. (1991)
89. S. Krishnia et al., Role of RKKY torque on domain wall motion in synthetic antiferromagnetic
nanowires with opposite spin Hall angles. Sci. Rep. (2017)
90. Y.J. Chang, A. Canizo-Cabrera, V. Garcia-Vazquez, Y.H. Chang, T.H. Wu, Perpendicular
magnetic tunnel junctions with synthetic antiferromagnetic pinned layers based on [Co/Pd]
multilayers. J. Appl. Phys. (2013)
91. A. Vansteenkiste, J. Leliaert, M. Dvornik, M. Helsen, F. Garcia-Sanchez, B. Van Waeyenberge,
The design and verification of MuMax3. AIP Adv. (2014)
92. M.J. Donahue, D.G. Porter, Exchange energy formulations for 3D micromagnetics. Phys. B
Condens. Matt. (2004)
93. W.F. Brown, Thermal fluctuations of a single-domain particle. Phys. Rev. (1963)
94. H. Guchang, H. Jiancheng, S.C. Hin, M. Tran, L.S. Ter, Switching methods in magnetic random
access memory for low power applications. J. Phys. D. Appl. Phys. (2015)
95. L. Thomas, G. Jan, S. Le, P.K. Wang, Quantifying data retention of perpendicular spintransfer-torque magnetic random access memory chips using an effective thermal stability
factor method. Appl. Phys. Lett. (2015)
96. K. Garello et al., Symmetry and magnitude of spin-orbit torques in ferromagnetic heterostructures. Nat. Nanotechnol. (2013)
97. W. Zhang, W. Han, X. Jiang, S.H. Yang, S.S.P. Parkin, Role of transparency of platinumferromagnet interfaces in determining the intrinsic magnitude of the spin Hall effect. Nat.
Phys. (2015)
98. C. Stamm et al.,Magneto-Optical Detection of the Spin Hall Effect in Pt and W Thin Films.
Phys. Rev. Lett. (2017)