Abstract
This chapter is devoted to spin-orbit torques and their interplay with the magnetization of magnetically ordered materials. We will introduce basic concepts of spin dynamics and mechanisms to manipulate magnetization by spin torques. Besides that, we will review recent theoretical and experimental progress in this field. The scope of this chapter is to provide an elementary discussion of important aspects of the physics of spin torques as it relates to switching or dynamically exciting magnetization in ferromagnets.
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Notes
- 1.
We can further distinguish between “damping-like” and “antidamping-like” torques. A damping-like torque is parallel to the Gilbert damping, an antidamping-like torque is antiparallel to the Gilbert damping torque. However, oftentimes these terms are used synonymously and rather indicate the axis along which the torque is directed. The same holds for the field-like torque, which can either be directed parallel or antiparallel to the torque created by the effective field. However, a more precise denotation is uncommon.
References
J.C. Slonczewski, J. Magn. Magn. Mater. 159, L1 (1996)
L. Berger, Phys. Rev. B 54, 9353 (1996)
A. Hoffmann, S.D. Bader, Phys. Rev. Appl. 4, 047001 (2015)
M. Tsoi, A.G.M. Jansen, J. Bass, W.C. Chiang, M. Seck, V. Tsoi, P. Wyder, Phy. Rev. Lett. 80, 4281 (1998)
J.Z. Sun, J. Magn. Magn. Mater. 202, 157 (1999)
E.B. Myers, D.C. Ralph, J.A. Katine, R.N. Louie, R.A. Buhrman, Science 285, 5429 (1999)
M. Tsoi, A.G.M. Jansen, J. Bass, W.C. Chiang, V. Tsoi, P. Wyder, Nature 406, 46 (2000)
J.A. Katine, F.J. Albert, R.A. Buhrman, E.B. Myers, D.C. Ralph, Phys. Rev. Lett. 84, 3149 (2000)
S.L. Kiselev, J.C. Sankey, I.N. Krivorotov, N.C. Emley, R.J. Schoelkopf, R.A. Buhrman, D.C. Ralph, Nature 425, 380 (2003)
I.N. Krivorotov, N.C. Emley, J.C. Sankey, S.I. Kiselev, D.C. Ralph, R.A. Buhrman, Science 307, 228 (2005)
D.C. Ralph, M.D. Stiles, J. Magn. Magn. Mater. 320, 1190 (2008)
E.L.L.D. Landau, Phys. Z. Sowjetunion 8, 153 (1935)
T.L. Gilbert, IEEE Trans. Magn. 40, 3443 (2004)
H. Suhl, IEEE Trans. Magn. 34, 1834 (1998)
A.G. Gurevich, G.A. Melkov, Magnetization Oscillations and Waves (CRC, New York, 1996)
V.V. Kambersky, C.E. Patton, Phys. Rev. B 11, 2668 (1975)
V.V. Kambersky, Can. J. Phys. 48, 2906 (1970)
B. Heinrich, R. Urban, G. Woltersdorf, J. Appl. Phys. 91, 7523 (2002)
D.D. Stancil, A. Prabhakar, Spin Waves Theory and Applications (Springer, Berlin, 2009)
R.W. Damon, J.R. Eshbach, J. Phys. Chem. Solids 19, 308 (1961)
C. Kittel, Phys. Rev. 73, 155 (1948)
G. Bihlmayer, O. Rader, R. Winkler, New J. Phys. 17, 050202 (2015)
F. Meier, H. Dil, J. Lobo-Checa, L. Patthey, J. Osterwalder, Phys. Rev. B 77, 165431 (2008)
E.I. Rashba, V.I. Sheka, Fiz. Tverd. Tela Collect. Pap. 2, 62–76 (1959)
F.T. Vas’ko, N.A. Prima, Sov. Phys. Solid State 21(6), 994 (1979)
Y.A. Bychkov, E.I. Rasbha, P. Zh, Eksp. Teor. Fiz. 39, 66 (1984)
G. Lommer, F. Malcher, U. Rössler, Phys. Rev. B 32, 6965(R) (1985)
J.C. Slater, Quantum Theory of Atomic Structure, vol. 2 (McGraw-Hill, New York, 1960)
L.D. Landau, E.M. Lifshitz, Quantum Mechanics, Non-Relativistic Theory, 3rd edn. (Pergamon, Oxford, 1987)
D. Culcer, R. Winkler, Phys. Rev. Lett. 99, 226601 (2007)
E.L. Ivchenko, G.E. Pikus, JETP Lett. 27(11), 604 (1978)
V.M. Edelstein, Solid State Commun. 73, 233 (1990)
S.D. Ganichev, M. Trushin, J. Schliemann, Spin Polarisation by Current (2016), arXiv:1606.02043
I.M. Miron, G. Gaudin, S. Auffret, B. Rodmacq, A. Schuhl, S. Pizzini, J. Vogel, P. Gambardella, Nat. Mater. 9, 230 (2010)
U.H. Pi, K.W. Kim, J.Y. Bae, S.C. Lee, Y.J. Cho, K.S. Kim, S. Seo, Appl. Phys. Lett. 97, 162507 (2010)
J.C. Rojas Sánchez, L. Vila, G. Desfonds, S. Gambardelli, J.P. Attané, J.M. De Teresa, C. Magén, A. Fert, Nat. Commun. 4, 2944 (2013)
W. Zhang, M.B. Jungfleisch, W. Jiang, J.E. Pearson, A. Hoffmann, J. Appl. Phys. 117, 17C727 (2015)
M.B. Jungfleisch, W. Zhang, J. Sklenar, W. Jiang, J.E. Pearson, J.B. Ketterson, A. Hoffmann, Phys. Rev B 93, 224419 (2016)
H. Nakayama, Y. Kanno, H. An, T. Tashiro, S. Haku, A. Nomura, K. Ando, Phys. Rev. Lett. 117, 116602 (2016)
R. Winkler, in Handbook of Magnetism and Advanced Magnetic Materials, vol. V, ed. by H. Kronmüller, S. Parkin (Wiley, Chichester, 2007), p. 2830
E.L. Ivchenko, Y.B. Lyanda-Geller, G.E. Pikus, JETP Lett. 50(3), 175 (1989)
M.I. Dyakonov, V.I. Perel, Sov. JETP Lett. 13, 467 (1971)
A. Hoffmann, IEEE Trans. Magn. 49, 5172 (2013)
M.B. Jungfleisch, W. Zhang, W. Jiang, A. Hoffmann, SPIN 05, 1530005 (2015)
K. Ando, S. Takahashi, K. Harii, K. Sasage, J. Ieda, S. Maekawa, E. Saitoh, Phy. Rev. Lett. 101, 036601 (2008)
L. Liu, T. Moriyama, D.C. Ralph, R.A. Buhrman, Phys. Rev. Lett. 106, 036601 (2011)
I.M. Miron, K. Garello, G. Gaudin, P.J. Zermatten, M.V. Costache, S. Auffret, S. Bandiera, B. Rodmacq, A. Schuhl, P. Gambardella, Nature 476, 189 (2011)
L. Liu, C.F. Pai, Y. Li, H.W. Tseng, D.C. Ralph, R.A. Buhrman, Science 336, 555 (2012)
T.D. Skinner, K. Olejník, L.K. Cunningham, H. Kurebayashi, R.P. Campion, B.L. Gallagher, T. Jungwirth, A.J. Ferguson, Nat. Commun. 6, 6730EP (2015)
P. Haney, H.W. Lee, K.J. Lee, A. Manchon, M.D. Stiles, Phys. Rev. B 87, 17441 (2013)
A.D. Kent, D. C. Worledge, A new spin on magnetic memories. Nat. Nanotechn. 10, 187 (2015)
J.C. Sankey, P.M. Braganca, A.G.F. Garcia, I.N. Krivorotov, R.A. Buhrman, D.C. Ralph, Phys. Rev. Lett. 96, 227601 (2006)
A.A. Tulapurkar, Y. Suzuki, A. Fukushima, H. Kubota, H. Maehara, K. Tsunekawa, D.D. Djayaprawira, N. Watanabe, S. Yuasa, Nature 438, 339 (2005)
J.C. Rojas-Sanchez, N. Reyren, P. Laczkowski, W. Savero, J.P. Attane, C. Deranlot, M. Jamet, J.M. George, L. Vila, H. Jaffres, Phy. Rev. Lett. 112, 106602 (2014)
W. Zhang, W. Han, X. Jiang, S.H. Yang, S.S.P. Parkin, Nat. Phys. 11, 496 (2015)
W. Zhang, M.B. Jungfleisch, F. Freimuth, W. Jiang, J. Sklenar, J.E. Pearson, J.B. Ketterson, Y. Mokrousov, A. Hoffmann, Phys. Rev. B 92, 144405 (2015)
J. Kim, J. Sinha, M. Hayashi, M. Yamanouchi, S. Fukami, T. Suzuki, S. Mitani, H. Ohno, Nat. Mater. 12, 240 (2013)
M. Jamali, K. Narayanapillai, X. Qiu, L.M. Loong, A. Manchon, H. Yang, Phys. Rev. Lett. 111, 246602 (2013)
M. Hayashi, J. Kim, M. Yamanouchi, H. Ohno, Phys. Rev. B 89, 144425 (2014)
Z.Q. Qiu, S.D. Bader, Rev. Sci. Instrum. 71, 1243 (2000)
S. Trudel, G. Wolf, H. Schultheiß, J. Hamrle, B. Hillebrands, T. Kubota, Y. Ando, Rev. Sci. Instrum. 81, 026105 (2010)
A. Hubert, R. Schäfer, Magnetic Domains - The Analysis of Magnetic Microstructures (Springer, Berlin, 1998)
X. Fan, H. Celik, J. Wu, C. Ni, K.J. Lee, V.O. Lorenz, J.Q. Xiao, Nat. Commun. 5, 3042 (2014)
M. Montazeri, P. Upadhyaya, M.C. Onbasli, G. Yu, K.L. Wong, M. Lang, Y. Fan, X. Li, P. Khalili Amiri, R.N. Schwartz, C.A. Ross, K.L. Wang, Nat. Commun. 6, 8958 (2015)
H. Nakayama, M. Althammer, Y.-T. Chen, K. Uchida, Y. Kajiwara, D. Kikuchi, T. Ohtani, S. Geprägs, M. Opel, S. Takahashi, R. Gross, G. E. W. Bauer, S. T. B. Goennenwein, E. Saitoh, Spin Hall Magnetoresistance Induced by a Nonequilibrium Proximity Effect. Phys. Rev. Lett. 110, 206601 (2013)
H.L. Wang, C.H. Du, Y. Pu, R. Adur, P.C. Hammel, F.Y. Yang, Phy. Rev. Lett. 112(19), 197201 (2014)
T. Tanaka, H. Kontani, M. Naito, D.S. Hirashima, K. Yamada, J. Inoue, Phys. Rev. B 77, 165117 (2008)
Y. Wang, P. Deorani, X. Qiu, J.H. Kwon, H. Yanga, Appl. Phys. Lett. 105, 152412 (2014)
L. Wang, R.J.H. Wesselink, Y. Liu, Z. Yuan, K. Xia, P.J. Kelly, Phy. Rev. Lett. 116, 196602 (2016)
F. Freimuth, S. Blügel, Y. Mokrousov, Anisotropic Spin Hall Effect from First Principles, Phys. Rev. Lett. 105, 246602 (2010)–68
M.B. Jungfleisch, W. Zhang, J. Sklenar, J. Ding, W. Jiang, H. Chang, F.Y. Fradin, J.E. Pearson, J.B. Ketterson, V. Novosad, M. Wu, A. Hoffmann, Phy. Rev. Lett. 116, 057601 (2016)
J. Sklenar, W. Zhang, M.B. Matthias, B. Jungfleisch, W. Jiang, H. Chang, J.E. Pearson, M. Wu, J.B. Ketterson, A. Hoffmann, Phys. Rev. B 92, 174406 (2016)
K.S. Lee, D. Go, A. Manchon, P.M. Haney, M.D. Stiles, H.W. Lee, K.J. Lee, Phys. Rev. B 91, 144401 (2015)
C.F. Pai, Y. Ou, L.H. Vilela-Leão, D.C. Ralph, R.A. Buhrman, Phys. Rev. B 92, 064426 (2015)
T. Jungwirth, X. Marti, P. Wadley, J. Wunderlich, Nat. Nanotechnol. 11, 231 (2016)
V. Baltz, A. Manchon, M. Tsoi, T. Moriyama, T. Ono, Y. Tserkovnyak, (2016), arXiv:1606.04284
H. Kurebayashi, J. Sinova, D. Fang, A.C. Irvine, T.D. Skinner, J. Wunderlich, V. Novak, R.P. Campion, B.L. Gallagher, E.K. Vehstedt, L.P. Zarbo, K. Výborný, A.J. Ferguson, T. Jungwirth, Nat. Nanotechnol. 9, 211 (2014)
W. Zhang, K.M. Krishnan, Mater. Sci. Eng. R 105, 1 (2016)
J. Nogués, J. Sort, V. Skumryyev, S. Suriñach, J.S. Muñoz, M.D. Baró, Phys. Rep. 422, 65 (2005)
J. Sklenar, W. Zhang, M.B. Jungfleisch, W. Jiang, H. Saglam, J.E. Pearson, J.B. Ketterson, A. Hoffmann, AIP Adv. 6, 055603 (2016)
B.G. Park, J. Wunderlich, X. Martí, V. Holý, Y. Kurosaki, M. Yamada, H. Yamamoto, A. Nishide, J. Hayakawa, H. Takahashi, A.B. Shick, T. Jungwirth, Nat. Mater. 10, 347 (2011)
H.C. Wu, M. Abid, A. Kalitsov, P. Zarzhitsky, M. Abid, Z.M. Liao, C.O. Coileán, H. Xu, J.J. Wang, H. Liu, O.N. Mryasov, C.R. Chang, I.V. Shvets, Adv. Func. Mater. 26, 5884(2016)
J.B.S. Mendes, R.O. Cunha, O. Alves Santos, P.R.T. Ribeiro, F.L.A. Machado, R.L. Rodríguez-Suárez, A. Azevedo, S.M. Rezende, Phys. Rev. B 89, 140406 (2014)
W. Zhang, M.B. Jungfleisch, W. Jiang, J.E. Pearson, A. Hoffmann, F. Freimuth, Y. Mokrousov, Phy. Rev. Lett. 113, 196602 (2014)
P. Wadley, B. Howells, J. Železný, C. Andrews, V. Hills, R.P. Campion, V. Novák, K. Olejník, F. Maccherozzi, S.S. Dhesi, S.Y. Martin, T. Wagner, J. Wunderlich, F. Freimuth, Y. Mokrousov, J. Kuneš, J.S. Chauhan, M.J. Grzybowski, A.W. Rushforth, K.W. Edmonds, B.L. Gallagher, T. Jungwirth, Science 351, 587(2016). doi:10.1126/science.aab1031
G. Dresselhaus, Phys. Rev. 100, 580 (1955)
J. Sklenar, W. Zhang, M.B. Jungfleisch, W. Jiang, H. Saglam, J.E. Pearson, J.B. Ketterson, A. Hoffmann, J. Appl. Phys. 120, 180901 (2016)
A. Soumyanarayanan, N. Reyren, A. Fert, C. Panagopoulos, Nature 539, 509 (2016)
F. Hellman, A. Hoffmann, Y. Tserkovnyak, G.S.D. Beach, E.E. Fullerton, C. Leighton, A.H. MacDonald, D.C. Ralph, D.A. Arena, H.A. Dürr, P. Fischer, J. Grollier, J.P. Heremans, T. Jungwirth, A.V. Kimel, B. Koopmans, I.N. Krivorotov, S.J. May, A.K. Petford-Long, J.M. Rondinelli, N. Samarth, I.K. Schuller, A.N. Slavin, M.D. Stiles, O. Tchernychyov, A. Thiaville, B.L. Zink, Rev. Mod. Phys. 89, 25006 (2017)
F. Freimuth, S. Blügel, Y. Mokrousov, J. Phys. Condens. Matter 26, 104202 (2014)
F. Freimuth, S. Blügel, Y. Mokrousov, Phys. Rev. B 90, 174423 (2014)
A.R. Mellnik, J.S. Lee, A. Richardella, J.L. Grab, P.J. Mintun, M.H. Fischer, A. Vaezi, A. Manchon, E.A. Kim, N. Samarth, D.C. Ralph, Nature 511, 449 (2014)
J.C. Rojas Sánchez, S. Oyarzun, F. Yu, A. Marty, C. Vergenaud, S. Gambardelli, L. Vila, M. Jamet, Y. Ohtsubo, A. Taleb-Ibrahimi, P. Lèvre, F. Bertran, N. Reyren, J.M. George, A. Fert, Phy. Rev. Lett. 116, 096602 (2016)
Y. Fan, P. Upadhyaya, X. Kou, M. Lang, S. Takei, Z. Wang, J. Tang, L. He, L.T. Chang, M. Montazeri, G. Yu, W. Jiang, T. Nie, R.N. Schwartz, Y. Tserkovnyak, K.L. Wang, Nat. Mater. 13, 699 (2014)
A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, A.K. Geim, Rev. Mod. Phys. 81, 109 (2009)
K.F. Mak, C. Lee, J. Hone, J. Shan, T.F. Heinz, Phys. Rev. Lett. 105, 136805 (2010)
D. Xiao, G.B. Liu, W. Feng, X. Xu, W. Yao, Phy. Rev. Lett. 108, 196802 (2012)
W. Zhang, J.N. Sklenar, B. Hsu, W. Jiang, M.B. Jungfleisch, J. Xiao, F.Y. Fradin, Y. Liu, J.E. Pearson, J.B. Ketterson, Z. Yang, A. Hoffmann, APL Mater. 4, 032302 (2016)
D. MacNeill, G.M. Stiehl, M.H.D. Guimaraes, R.A. Buhrman, J. Park, D.C. Ralph, Nat. Phys. 13, 300 (2017)
L. Berger, J. Appl. Phys. 55, 1954 (1984)
P.P. Freitas, L. Berger, J. Appl. Phys. 57, 1266 (1985)
C.Y. Hung, L. Berger, J. Appl. Phys. 63, 4276 (1988)
L. Liu, O.J. Lee, T.J. Gudmundsen, D.C. Ralph, R.A. Buhrman, Phy. Rev. Lett. 109, 096602 (2012)
S. Fukami, C. Zhang, S. DuttaGupta, A. Kurenkov, H. Ohno, Nat. Mater. 15, 535 (2016)
S. Emori, U. Bauer, S.M. Ahn, E. Martinez, G.S.D. Beach, Nat. Mater. 12, 611 (2013)
K.S. Ryu, L. Thomas, S.H. Yang, S. Parkin, Nat. Nanotechnol. 8, 527 (2013)
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, Science 349, 283 (2015)
W. Jiang, X. Zhang, G. Yu, W. Zhang, X. Wang, M.B. Jungfleisch, J.E. Pearson, X. Cheng, O. Heinonen, K.L. Wang, Y. Zhou, A. Hoffmann, S.G.E. te Velthuis, Nat. Phys. 13, 162 (2017)
V.E. Demidov, S. Urazhdin, H. Ulrichs, V. Tiberkevich, A. Slavin, D. Baither, G. Schmitz, S.O. Demokritov, Nat. Mater. 11, 1028 (2012)
T. Chen, R.K. Dumas, A. Eklund, P.K. Muduli, A. Houshang, A.A. Awad, P. Dürrenfeld, B.G. Malm, A. Rusu, J. Åkerman, Proc. IEEE 104, 1919 (2016)
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Work at Argonne was supported by DOE BES under Contract No. DE-AC02-06CH11357. RW was supported by the NSF under grant No. DMR-1310199.
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Jungfleisch, M.B., Zhang, W., Winkler, R., Hoffmann, A. (2017). Spin-Orbit Torques and Spin Dynamics. In: Dyakonov, M. (eds) Spin Physics in Semiconductors. Springer Series in Solid-State Sciences, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-65436-2_11
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