146
S. Krishnia and W. S. Lew
47. S. Zhang, Z. Li, Roles of nonequilibrium conduction electrons on the magnetization dynamics
of ferromagnets. Phys. Rev. Lett. (2004)
48. G.S.D. Beach, C. Nistor, C. Knutson, M. Tsoi, J.L. Erskine, Dynamics of field-driven domainwall propagation in ferromagnetic nanowires. Nat. Mater. (2005)
49. A. Vanhaverbeke, A. Bischof, R. Allenspach, Control of domain wall polarity by current pulses.
Phys. Rev. Lett. (2008)
50. J.C. Slonczewski, Theory of Bloch-line and Bloch-wall motion. J. Appl. Phys. (1974)
51. G. Meier, M. Bolte, R. Eiselt, B. Krüger, D.H. Kim, P. Fischer, Direct imaging of stochastic
domain-wall motion driven by nanosecond current pulses. Phys. Rev. Lett. (2007)
52. R. Moriya, L. Thomas, M. Hayashi, Y.B. Bazaliy, C. Rettner, S.S.P. Parkin, Probing vortexcore dynamics using current-induced resonant excitation of a trapped domain wall. Nat. Phys.
(2008)
53. M. Eltschka et al., Nonadiabatic spin torque investigated using thermally activated magnetic
domain wall dynamics. Phys. Rev. Lett. (2010)
54. L. Heyne et al., Direct determination of large spin-torque nonadiabaticity in vortex core
dynamics. Phys. Rev. Lett. (2010)
55. I.M. Miron et al., Current-driven spin torque induced by the Rashba effect in a ferromagnetic
metal layer. Nat. Mater. (2010)
56. I.M. Miron et al., Fast current-induced domain-wall motion controlled by the Rashba effect.
Nat. Mater. (2011)
57. C. Ast et al. Giant spin splitting through surface alloying. Phys. Rev. Lett. (2007)
58. A. Manchon, H.C. Koo, J. Nitta, S.M. Frolov, R.A. Duine, New perspectives for Rashba spinorbit coupling. Nat. Mater. (2015)
59. V.M. Edelstein, Spin polarization of conduction electrons induced by electric current in twodimensional asymmetric electron systems. Solid State Commun. (1990)
60. T.A. Moore et al., High domain wall velocities induced by current in ultrathin Pt/Co/AlOx
wires with perpendicular magnetic anisotropy. Appl. Phys. Lett. (2008)
61. I. M. Miron, P.J. Zermatten, G. Gaudin, S. Auffret, B. Rodmacq, A. Schuhl, Domain wall spin
torquemeter. Phys. Rev. Lett. (2009)
62. K.S. Ryu, L. Thomas, S.H. Yang, S.S.P. Parkin Current induced tilting of domain walls in high
velocity motion along perpendicularly magnetized micron-sized Co/Ni/Co racetracks. Express
Appl. Phys. (2012)
63. A. Manchon, S. Zhang, Theory of nonequilibrium intrinsic spin torque in a single nanomagnet.
Phys. Rev. B Condens. Matter Mater. Phys. (2008)
64. A. Thiaville, S. Rohart, É. Jué, V. Cros, A. Fert, Dynamics of Dzyaloshinskii domain walls in
ultrathin magnetic films. EPL (2012)
65. I. Dzyaloshinskii, Thermodynamic theory of ‘weak’ ferromagnetism in antiferromagnetic
substances Sov. Phys JETP (1957)
66. T. Moria, Anisotropic superexchange iteraction and weak ferromagnetism. Phys. Rev. (1960)
67. M. Bode et al., Chiral magnetic order at surfaces driven by inversion asymmetry. Nature (2007)
68. A.V. Khvalkovskiy et al. Matching domain-wall configuration and spin-orbit torques for
efficient domain-wall motion. Phys. Rev. B Condens. Matter Mater. Phys. 87, 020402 (2013)
69. E. Martinez, S. Emori, N. Perez, L. Torres, G.S.D. Beach, Current-driven dynamics of
Dzyaloshinskii domain walls in the presence of in-plane fields: Full micromagnetic and
one-dimensional analysis. J. Appl. Phys. (2014)
70. S. Rohart, A. Thiaville, Skyrmion confinement in ultrathin film nanostructures in the presence
of Dzyaloshinskii-Moriya interaction. Phys. Rev. B Condens. Matter Mater. Phys. (2013)
71. R. Lavrijsen et al., Asymmetric magnetic bubble expansion under in-plane field in Pt/Co/Pt:
Effect of interface engineering. Phys. Rev. B Condens. Matter Mater. Phys. (2015)
72. R. Soucaille et al., Probing the Dzyaloshinskii-Moriya interaction in CoFeB ultrathin films
using domain wall creep and Brillouin light spectroscopy. Phys. Rev. B (2016)
73. S.V. Tarasenko, A. Stankiewicz, V.V. Tarasenko, J. Ferré, Bloch wall dynamics in ultrathin
ferromagnetic films. J. Magn. Magn. Mater. (1998)
S. Krishnia and W. S. Lew
47. S. Zhang, Z. Li, Roles of nonequilibrium conduction electrons on the magnetization dynamics
of ferromagnets. Phys. Rev. Lett. (2004)
48. G.S.D. Beach, C. Nistor, C. Knutson, M. Tsoi, J.L. Erskine, Dynamics of field-driven domainwall propagation in ferromagnetic nanowires. Nat. Mater. (2005)
49. A. Vanhaverbeke, A. Bischof, R. Allenspach, Control of domain wall polarity by current pulses.
Phys. Rev. Lett. (2008)
50. J.C. Slonczewski, Theory of Bloch-line and Bloch-wall motion. J. Appl. Phys. (1974)
51. G. Meier, M. Bolte, R. Eiselt, B. Krüger, D.H. Kim, P. Fischer, Direct imaging of stochastic
domain-wall motion driven by nanosecond current pulses. Phys. Rev. Lett. (2007)
52. R. Moriya, L. Thomas, M. Hayashi, Y.B. Bazaliy, C. Rettner, S.S.P. Parkin, Probing vortexcore dynamics using current-induced resonant excitation of a trapped domain wall. Nat. Phys.
(2008)
53. M. Eltschka et al., Nonadiabatic spin torque investigated using thermally activated magnetic
domain wall dynamics. Phys. Rev. Lett. (2010)
54. L. Heyne et al., Direct determination of large spin-torque nonadiabaticity in vortex core
dynamics. Phys. Rev. Lett. (2010)
55. I.M. Miron et al., Current-driven spin torque induced by the Rashba effect in a ferromagnetic
metal layer. Nat. Mater. (2010)
56. I.M. Miron et al., Fast current-induced domain-wall motion controlled by the Rashba effect.
Nat. Mater. (2011)
57. C. Ast et al. Giant spin splitting through surface alloying. Phys. Rev. Lett. (2007)
58. A. Manchon, H.C. Koo, J. Nitta, S.M. Frolov, R.A. Duine, New perspectives for Rashba spinorbit coupling. Nat. Mater. (2015)
59. V.M. Edelstein, Spin polarization of conduction electrons induced by electric current in twodimensional asymmetric electron systems. Solid State Commun. (1990)
60. T.A. Moore et al., High domain wall velocities induced by current in ultrathin Pt/Co/AlOx
wires with perpendicular magnetic anisotropy. Appl. Phys. Lett. (2008)
61. I. M. Miron, P.J. Zermatten, G. Gaudin, S. Auffret, B. Rodmacq, A. Schuhl, Domain wall spin
torquemeter. Phys. Rev. Lett. (2009)
62. K.S. Ryu, L. Thomas, S.H. Yang, S.S.P. Parkin Current induced tilting of domain walls in high
velocity motion along perpendicularly magnetized micron-sized Co/Ni/Co racetracks. Express
Appl. Phys. (2012)
63. A. Manchon, S. Zhang, Theory of nonequilibrium intrinsic spin torque in a single nanomagnet.
Phys. Rev. B Condens. Matter Mater. Phys. (2008)
64. A. Thiaville, S. Rohart, É. Jué, V. Cros, A. Fert, Dynamics of Dzyaloshinskii domain walls in
ultrathin magnetic films. EPL (2012)
65. I. Dzyaloshinskii, Thermodynamic theory of ‘weak’ ferromagnetism in antiferromagnetic
substances Sov. Phys JETP (1957)
66. T. Moria, Anisotropic superexchange iteraction and weak ferromagnetism. Phys. Rev. (1960)
67. M. Bode et al., Chiral magnetic order at surfaces driven by inversion asymmetry. Nature (2007)
68. A.V. Khvalkovskiy et al. Matching domain-wall configuration and spin-orbit torques for
efficient domain-wall motion. Phys. Rev. B Condens. Matter Mater. Phys. 87, 020402 (2013)
69. E. Martinez, S. Emori, N. Perez, L. Torres, G.S.D. Beach, Current-driven dynamics of
Dzyaloshinskii domain walls in the presence of in-plane fields: Full micromagnetic and
one-dimensional analysis. J. Appl. Phys. (2014)
70. S. Rohart, A. Thiaville, Skyrmion confinement in ultrathin film nanostructures in the presence
of Dzyaloshinskii-Moriya interaction. Phys. Rev. B Condens. Matter Mater. Phys. (2013)
71. R. Lavrijsen et al., Asymmetric magnetic bubble expansion under in-plane field in Pt/Co/Pt:
Effect of interface engineering. Phys. Rev. B Condens. Matter Mater. Phys. (2015)
72. R. Soucaille et al., Probing the Dzyaloshinskii-Moriya interaction in CoFeB ultrathin films
using domain wall creep and Brillouin light spectroscopy. Phys. Rev. B (2016)
73. S.V. Tarasenko, A. Stankiewicz, V.V. Tarasenko, J. Ferré, Bloch wall dynamics in ultrathin
ferromagnetic films. J. Magn. Magn. Mater. (1998)