7 Current-Induced Dynamics of Chiral Magnetic Structures
179
50. M. Stier, W. Häusler, T. Posske, G. Gurski, M. Thorwart, Skyrmion-Anti-Skyrmion Pair
Creation by in-Plane Currents. Phys. Rev. Lett. 118, 267203 (2017)
51. A.O. Leonov, M. Mostovoy, Edge states and skyrmion dynamics in nanostripes of frustrated
magnets. Nat. Commun. 8, 14394 (2017)
52. A. Hrabec, J. Sampaio, M. Belmeguenai, I. Gross, R. Weil, S.M. Chérif, A. Stashkevich,
V. Jacques, A. Thiaville, S. Rohart, Current-induced skyrmion generation and dynamics in
symmetric bilayers. Nat. Commun. 8, 15765 (2017)
53. W. Legrand, D. Maccariello, N. Reyren, K. Garcia, C. Moutafis, C. Moreau-Luchaire, S.
Collin, K. Bouzehouane, V. Cros, A. Fert, Room-Temperature Current-Induced Generation
and Motion of sub-100 nm Skyrmions. Nano Lett. 17, 2703–2712 (2017)
54. F. Büttner, I. Lemesh, M. Schneider, B. Pfau, C.M. Günther, P. Hessing, J. Geilhufe, L. Caretta,
D. Engel, B. Krüger, J. Viefhaus, S. Eisebitt, G.S.D. Beach, Field-free deterministic ultrafast
creation of magnetic skyrmions by spin-orbit torques. Nat. Nanotechnol. 12, 1040–1044
(2017)
55. Y. Zhou, M. Ezawa, A reversible conversion between a skyrmion and a domain-wall pair in
a junction geometry. Nat. Commun. 5, 4652 (2014)
56. W. Jiang, P. Upadhyaya, W. Zhang, G. Yu, M.B. Jungfleisch, F.Y. Fradin, J.E. Pearson, Y.
Tserkovnyak, K.L. Wang, O. Heinonen, S.G.E. te Velthuis, A. Hoffmann, Blowing magnetic
skyrmion bubbles. Science 349, 283–286 (2015)
57. J. Iwasaki, M. Mochizuki, N. Nagaosa, Current-induced skyrmion dynamics in constricted
geometries. Nat. Nanotech. 8, 742–747 (2013)
58. J. Müller, A. Rosch, M. Garst, Edge instabilities and skyrmion creation in magnetic layers.
New J. Phys. 18, 065006 (2016)
59. S. Woo, K. Litzius, B. Krüger, M.-Y. Im, L. Caretta, K. Richter, M. Mann, A. Krone, R.M.
Reeve, M. Weigand, P. Agrawal, I. Lemesh, M.-A. Mawass, P. Fischer, M. Kläui, G.S.D.
Beach, Observation of room-temperature magnetic skyrmions and their current-driven dynamics in ultrathin metallic ferromagnets. Nat. Mater. 15, 501–506 (2016)
60. A.A. Thiele, Steady-State Motion of Magnetic Domains. Phys. Rev. Lett. 30, 230 (1973)
61. A.A. Thiele, Applications of the gyrocoupling vector and dissipation dyadic in the dynamics
of magnetic domains. J. Appl. Phys. 45, 377 (1974)
62. J. Müller, A. Rosch, Capturing of a magnetic skyrmion with a hole. Phys. Rev. B 91, 054410
(2015)
63. N.L. Schryer, L.R. Walker, The motion of 180 ◦ domain walls in uniform dc magnetic fields.
J. Appl. Phys. 45, 5406 (1974)
64. O. Boulle, S. Rohart, L.D. Buda-Prejbeanu, E. Jué, I.M. Miron, S. Pizzini, J. Vogel, G. Gaudin,
A. Thiaville, Domain Wall Tilting in the Presence of the Dzyaloshinskii-Moriya Interaction
in Out-of-Plane Magnetized Magnetic Nanotracks. Phys. Rev. Lett. 111, 217203 (2013)
65. C.B. Muratov, V.V. Slastikov, A.G. Kolesnikov, O.A. Tretiakov, Theory of the Dzyaloshinskii
domain-wall tilt in ferromagnetic nanostrips. Phys. Rev. B 96, 134417 (2017)
66. V.V. Slastikov, C.B. Muratov, J.M. Robbins, O.A. Tretiakov, Walker solution for Dzyaloshinskii domain wall in ultrathin ferromagnetic films. Phys. Rev. B 99, 100403(R) (2019)
67. A. Hubert, Statics and dynamics of domain walls in bubble materials. J. Appl. Phys. 46, 2276
(1975)
68. A. Manchon, J. Železný, I.M. Miron, T. Jungwirth, J. Sinova, A. Thiaville, K. Garello, P. Gambardella, Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems.
Rev. Mod. Phys. 91, 035004 (2019)
69. F. Jonietz, S. Mühlbauer, C. Pfleiderer, A. Neubauer, W. Münzer, A. Bauer, T. Adams, R.
Georgii, P. Böni, R.A. Duine, K. Everschor, M. Garst, A. Rosch, Spin Transfer Torques in
MnSi at Ultralow Current Densities. Science 330, 1648–1651 (2010)
70. T. Schulz, R. Ritz, A. Bauer, M. Halder, M. Wagner, C. Franz, C. Pfleiderer, K. Everschor,
M. Garst, A. Rosch, Emergent electrodynamics of skyrmions in a chiral magnet. Nat. Phys.
8, 301–304 (2012)
71. J. Iwasaki, M. Mochizuki, N. Nagaosa, Universal current-velocity relation of skyrmion motion
in chiral magnets. Nat. Commun. 4, 1463 (2013)
179
50. M. Stier, W. Häusler, T. Posske, G. Gurski, M. Thorwart, Skyrmion-Anti-Skyrmion Pair
Creation by in-Plane Currents. Phys. Rev. Lett. 118, 267203 (2017)
51. A.O. Leonov, M. Mostovoy, Edge states and skyrmion dynamics in nanostripes of frustrated
magnets. Nat. Commun. 8, 14394 (2017)
52. A. Hrabec, J. Sampaio, M. Belmeguenai, I. Gross, R. Weil, S.M. Chérif, A. Stashkevich,
V. Jacques, A. Thiaville, S. Rohart, Current-induced skyrmion generation and dynamics in
symmetric bilayers. Nat. Commun. 8, 15765 (2017)
53. W. Legrand, D. Maccariello, N. Reyren, K. Garcia, C. Moutafis, C. Moreau-Luchaire, S.
Collin, K. Bouzehouane, V. Cros, A. Fert, Room-Temperature Current-Induced Generation
and Motion of sub-100 nm Skyrmions. Nano Lett. 17, 2703–2712 (2017)
54. F. Büttner, I. Lemesh, M. Schneider, B. Pfau, C.M. Günther, P. Hessing, J. Geilhufe, L. Caretta,
D. Engel, B. Krüger, J. Viefhaus, S. Eisebitt, G.S.D. Beach, Field-free deterministic ultrafast
creation of magnetic skyrmions by spin-orbit torques. Nat. Nanotechnol. 12, 1040–1044
(2017)
55. Y. Zhou, M. Ezawa, A reversible conversion between a skyrmion and a domain-wall pair in
a junction geometry. Nat. Commun. 5, 4652 (2014)
56. W. Jiang, P. Upadhyaya, W. Zhang, G. Yu, M.B. Jungfleisch, F.Y. Fradin, J.E. Pearson, Y.
Tserkovnyak, K.L. Wang, O. Heinonen, S.G.E. te Velthuis, A. Hoffmann, Blowing magnetic
skyrmion bubbles. Science 349, 283–286 (2015)
57. J. Iwasaki, M. Mochizuki, N. Nagaosa, Current-induced skyrmion dynamics in constricted
geometries. Nat. Nanotech. 8, 742–747 (2013)
58. J. Müller, A. Rosch, M. Garst, Edge instabilities and skyrmion creation in magnetic layers.
New J. Phys. 18, 065006 (2016)
59. S. Woo, K. Litzius, B. Krüger, M.-Y. Im, L. Caretta, K. Richter, M. Mann, A. Krone, R.M.
Reeve, M. Weigand, P. Agrawal, I. Lemesh, M.-A. Mawass, P. Fischer, M. Kläui, G.S.D.
Beach, Observation of room-temperature magnetic skyrmions and their current-driven dynamics in ultrathin metallic ferromagnets. Nat. Mater. 15, 501–506 (2016)
60. A.A. Thiele, Steady-State Motion of Magnetic Domains. Phys. Rev. Lett. 30, 230 (1973)
61. A.A. Thiele, Applications of the gyrocoupling vector and dissipation dyadic in the dynamics
of magnetic domains. J. Appl. Phys. 45, 377 (1974)
62. J. Müller, A. Rosch, Capturing of a magnetic skyrmion with a hole. Phys. Rev. B 91, 054410
(2015)
63. N.L. Schryer, L.R. Walker, The motion of 180 ◦ domain walls in uniform dc magnetic fields.
J. Appl. Phys. 45, 5406 (1974)
64. O. Boulle, S. Rohart, L.D. Buda-Prejbeanu, E. Jué, I.M. Miron, S. Pizzini, J. Vogel, G. Gaudin,
A. Thiaville, Domain Wall Tilting in the Presence of the Dzyaloshinskii-Moriya Interaction
in Out-of-Plane Magnetized Magnetic Nanotracks. Phys. Rev. Lett. 111, 217203 (2013)
65. C.B. Muratov, V.V. Slastikov, A.G. Kolesnikov, O.A. Tretiakov, Theory of the Dzyaloshinskii
domain-wall tilt in ferromagnetic nanostrips. Phys. Rev. B 96, 134417 (2017)
66. V.V. Slastikov, C.B. Muratov, J.M. Robbins, O.A. Tretiakov, Walker solution for Dzyaloshinskii domain wall in ultrathin ferromagnetic films. Phys. Rev. B 99, 100403(R) (2019)
67. A. Hubert, Statics and dynamics of domain walls in bubble materials. J. Appl. Phys. 46, 2276
(1975)
68. A. Manchon, J. Železný, I.M. Miron, T. Jungwirth, J. Sinova, A. Thiaville, K. Garello, P. Gambardella, Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems.
Rev. Mod. Phys. 91, 035004 (2019)
69. F. Jonietz, S. Mühlbauer, C. Pfleiderer, A. Neubauer, W. Münzer, A. Bauer, T. Adams, R.
Georgii, P. Böni, R.A. Duine, K. Everschor, M. Garst, A. Rosch, Spin Transfer Torques in
MnSi at Ultralow Current Densities. Science 330, 1648–1651 (2010)
70. T. Schulz, R. Ritz, A. Bauer, M. Halder, M. Wagner, C. Franz, C. Pfleiderer, K. Everschor,
M. Garst, A. Rosch, Emergent electrodynamics of skyrmions in a chiral magnet. Nat. Phys.
8, 301–304 (2012)
71. J. Iwasaki, M. Mochizuki, N. Nagaosa, Universal current-velocity relation of skyrmion motion
in chiral magnets. Nat. Commun. 4, 1463 (2013)