14 Topology in Magnetism
397
8. E. Chen, D. Apalkov, Z. Diao, A. Driskill-Smith, D. Druist, D. Lottis, V. Nikitin, X. Tang, S.
Watts, S. Wang, S.A. Wolf, A.W. Ghosh, J.W. Lu, S.J. Poon, M. Stan, W.H. Butler, S. Gupta,
C.K.A. Mewes, T. Mewes, P.B. Visscher, Advances and future prospects of spin-transfer
torque random access memory. IEEE Trans. Magn. 46(6), 1873–1878 (2010)
9. G. Moore, Progress in Digital Integrated Electronics (IEEE, IEDM Tech Digest, 1975), pp.
11–13
10. Fundamentals and applications, Igor Žuti´ c, Jaroslav Fabian, and S. Das Sarma. Spintronics.
Rev. Mod. Phys. 76, 323–410 (2004)
11. K. Fossheim, A. Sudbø, Superconductivity: Physics and Applications (John Wiley & Sons,
Ltd, 2005)
12. V.V. Kruglyak, S.O. Demokritov, D. Grundler, Magnonics. J. Phys. D Appl. Phys. 43(26),
264001 (2010)
13. A.A. Serga, A.V. Chumak, B. Hillebrands, YIG magnonics. J. Phys. D Appl. Phys. 43(26),
264002 (2010)
14. D.S. Richeson, Euler’s Gem: The Polyhedron Formula and the Birth of Topology (Princeton
University Press, 2008)
15. C.N. Yang, Mo-Lin Ge, and Yang-Hui He (Topology and Physics, WORLD SCIENTIFIC,
2019)
16. A. Blanco-Redondo, B. Bell, D. Oren, B.J. Eggleton, M. Segev, Topological protection of
biphoton states. Science 362(6414), 568–571 (2018)
17. H.Y. Yuan, Q. Liu, K. Xia, Z. Yuan, X.R. Wang, Proper dissipative torques in antiferromagnetic
dynamics. EPL (Europhysics Letters)126(6), 67006 (2019)
18. T.L. Gilbert, A phenomenological theory of damping in ferromagnetic materials. IEEE Trans.
Magn. 40(6), 3443–3449 (2004)
19. A. Thiaville, J. Miltat. Topology and Magnetic Domain Walls (Springer International Publishing, Cham, 2018), pp. 41–73
20. S.P. Stuart, Parkin, Masamitsu Hayashi, and Luc Thomas. Magnetic domain-wall racetrack
memory. Science 320(5873), 190–194 (2008)
21. N.L. Schryer, L.R. Walker, The motion of 180 ◦ domain walls in uniform dc magnetic fields.
J. Appl. Phys. 45(12), 5406–5421 (1974)
22. A.P. Malozemoff, J.C. Slonczewski, Magnetic Domain Walls in Bubble Materials (Academic
Press, 1979)
23. J.C. Slonczewski, Current-driven excitation of magnetic multilayers. J. Magn. Magn. Mater.
159(1), L1–L7 (1996)
24. L. Berger, Emission of spin waves by a magnetic multilayer traversed by a current. Phys. Rev.
B 54, 9353–9358 (1996)
25. S. Zhang, Z. Li, Roles of nonequilibrium conduction electrons on the magnetization dynamics
of ferromagnets. Phys. Rev. Lett. 93, 127204 (2004)
26. A. Yamaguchi, T. Ono, S. Nasu, K. Miyake, K. Mibu, T. Shinjo, Real-space observation of
current-driven domain wall motion in submicron magnetic wires. Phys. Rev. Lett. 92, 077205
(2004)
27. M. Hayashi, L. Thomas, Y.B. Bazaliy, C. Rettner, R. Moriya, X. Jiang, S.S.P. Parkin, Influence
of current on field-driven domain wall motion in permalloy nanowires from time resolved
measurements of anisotropic magnetoresistance. Phys. Rev. Lett. 96, 197207 (2006)
28. K. Kondou, N. Ohshima, S. Kasai, Y. Nakatani, T. Ono, Single shot detection of the magnetic
domain wall motion by using tunnel magnetoresistance effect. Appl. Phys. Expr. 1, 061302
(2008)
29. X.R. Wang, P. Yan, J. Lu, High-field domain wall propagation velocity in magnetic nanowires.
EPL (Europhysics Letters) 86(6), 67001 (2009)
30. X.R. Wang, P. Yan, J. Lu, C. He, Magnetic field driven domain-wall propagation in magnetic
nanowires. Ann. Phys. 324(8), 1815–1820 (2009)
31. X.S. Wang, P. Yan, Y.H. Shen, G.E.W. Bauer, X.R. Wang, Domain wall propagation through
spin wave emission. Phys. Rev. Lett. 109, 167209 (2012)
397
8. E. Chen, D. Apalkov, Z. Diao, A. Driskill-Smith, D. Druist, D. Lottis, V. Nikitin, X. Tang, S.
Watts, S. Wang, S.A. Wolf, A.W. Ghosh, J.W. Lu, S.J. Poon, M. Stan, W.H. Butler, S. Gupta,
C.K.A. Mewes, T. Mewes, P.B. Visscher, Advances and future prospects of spin-transfer
torque random access memory. IEEE Trans. Magn. 46(6), 1873–1878 (2010)
9. G. Moore, Progress in Digital Integrated Electronics (IEEE, IEDM Tech Digest, 1975), pp.
11–13
10. Fundamentals and applications, Igor Žuti´ c, Jaroslav Fabian, and S. Das Sarma. Spintronics.
Rev. Mod. Phys. 76, 323–410 (2004)
11. K. Fossheim, A. Sudbø, Superconductivity: Physics and Applications (John Wiley & Sons,
Ltd, 2005)
12. V.V. Kruglyak, S.O. Demokritov, D. Grundler, Magnonics. J. Phys. D Appl. Phys. 43(26),
264001 (2010)
13. A.A. Serga, A.V. Chumak, B. Hillebrands, YIG magnonics. J. Phys. D Appl. Phys. 43(26),
264002 (2010)
14. D.S. Richeson, Euler’s Gem: The Polyhedron Formula and the Birth of Topology (Princeton
University Press, 2008)
15. C.N. Yang, Mo-Lin Ge, and Yang-Hui He (Topology and Physics, WORLD SCIENTIFIC,
2019)
16. A. Blanco-Redondo, B. Bell, D. Oren, B.J. Eggleton, M. Segev, Topological protection of
biphoton states. Science 362(6414), 568–571 (2018)
17. H.Y. Yuan, Q. Liu, K. Xia, Z. Yuan, X.R. Wang, Proper dissipative torques in antiferromagnetic
dynamics. EPL (Europhysics Letters)126(6), 67006 (2019)
18. T.L. Gilbert, A phenomenological theory of damping in ferromagnetic materials. IEEE Trans.
Magn. 40(6), 3443–3449 (2004)
19. A. Thiaville, J. Miltat. Topology and Magnetic Domain Walls (Springer International Publishing, Cham, 2018), pp. 41–73
20. S.P. Stuart, Parkin, Masamitsu Hayashi, and Luc Thomas. Magnetic domain-wall racetrack
memory. Science 320(5873), 190–194 (2008)
21. N.L. Schryer, L.R. Walker, The motion of 180 ◦ domain walls in uniform dc magnetic fields.
J. Appl. Phys. 45(12), 5406–5421 (1974)
22. A.P. Malozemoff, J.C. Slonczewski, Magnetic Domain Walls in Bubble Materials (Academic
Press, 1979)
23. J.C. Slonczewski, Current-driven excitation of magnetic multilayers. J. Magn. Magn. Mater.
159(1), L1–L7 (1996)
24. L. Berger, Emission of spin waves by a magnetic multilayer traversed by a current. Phys. Rev.
B 54, 9353–9358 (1996)
25. S. Zhang, Z. Li, Roles of nonequilibrium conduction electrons on the magnetization dynamics
of ferromagnets. Phys. Rev. Lett. 93, 127204 (2004)
26. A. Yamaguchi, T. Ono, S. Nasu, K. Miyake, K. Mibu, T. Shinjo, Real-space observation of
current-driven domain wall motion in submicron magnetic wires. Phys. Rev. Lett. 92, 077205
(2004)
27. M. Hayashi, L. Thomas, Y.B. Bazaliy, C. Rettner, R. Moriya, X. Jiang, S.S.P. Parkin, Influence
of current on field-driven domain wall motion in permalloy nanowires from time resolved
measurements of anisotropic magnetoresistance. Phys. Rev. Lett. 96, 197207 (2006)
28. K. Kondou, N. Ohshima, S. Kasai, Y. Nakatani, T. Ono, Single shot detection of the magnetic
domain wall motion by using tunnel magnetoresistance effect. Appl. Phys. Expr. 1, 061302
(2008)
29. X.R. Wang, P. Yan, J. Lu, High-field domain wall propagation velocity in magnetic nanowires.
EPL (Europhysics Letters) 86(6), 67001 (2009)
30. X.R. Wang, P. Yan, J. Lu, C. He, Magnetic field driven domain-wall propagation in magnetic
nanowires. Ann. Phys. 324(8), 1815–1820 (2009)
31. X.S. Wang, P. Yan, Y.H. Shen, G.E.W. Bauer, X.R. Wang, Domain wall propagation through
spin wave emission. Phys. Rev. Lett. 109, 167209 (2012)