Abstract
The development of laser science and technology has stimulated the study of condensed matter physics, especially, dynamical or non-equilibrium nature in solids. The laser technique in terahertz (THz) regime, whose photon energy is comparable to those of typical collective modes in solids such as magnetic excitations, phonons, etc., has remarkably proceeded in the last decade. Theoretical tools for non-equilibrium states have also progressed. Thanks to these backgrounds, magneto-optics, especially, the study of controlling magnetism with laser, now enters a new stage. For such controls, Floquet engineering is a key concept, which means the method of controlling static properties of targets with high-frequency external fields like laser. I review the theoretical foundation of Floquet engineering and its application to magnetic insulators. Basic magnetic quantities such as magnetization, spin chirality, and spin current are shown to be controlled with intense THz laser or wave.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
H. Hirori, A. Doi, F. Blanchard, K. Tanaka, Appl. Phys. Lett. 98, 91106 (2011)
Y. Mukai, H. Hirori, T. Yamamoto, H. Kageyama, K. Tanaka, New J. Phys. 18, 013045 (2016)
B. Liu, H. Bromberger, A. Cartella, T. Gebert, M. Forst, A. Cavalleri, Opt. Lett. 42, 129 (2017)
M. Sato, T. Higuchi, N. Kanda, K. Konishi, K. Yoshioka, T. Suzuki, K. Misawa, M. Kuwato-Gonokami, Nature Photo. 7, 724 (2013)
P. Nemec, M. Fiebig, T. Kampfrath, A.V. Kimel, Nature Phys. 14, 229 (2018)
C.P. Slichter, Principles of Magnetic Resonance (Springer, 1989)
H. Nojiri, Z.W. Ouyang, Terahertz Sci. Tech. 5, 1 (2012)
A. Kirilyuk, A.V. Kimel, T. Rasing, Rev. Mod. Phys. 82, 2731 (2010)
Spin Current, edited by S. Maekawa, S. O. Valenzuela, E. Saitoh, and T. Kimura (Oxford Univ. Press, 2012)
A.M. Zagoskin, Quantum Theory of Many-Body Systems: Techniques and Applications, 2nd edn. (Springer, New York, 2014)
G. Stefanucci and R. v. Leeuwen, Nonequilibrium Many-Body Theory of Quantum Systems: A Modern Introduction (Cambridge University Press, Cambridge, England, 2013)
H.J.W. Haug, A.-P. Jauho, Quantum Kinetics in Transport and Optics of Semiconductors (Springer, 2007)
A. Kamenev, Field Theory of Non-Equilibrium Systems, (Cambridge Univ. 2011)
H. Aoki, N. Tsuji, M. Eckstein, M. Kollar, T. Oka, P. Werner, Rev. Mod. Phys. 86, 779 (2014)
H.-P. Breuer, F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2007)
R. Alicki, K. Lendi, Quantum Dynamical Semigroups and Applications (Springer, 2007)
U. Weiss, Quantum Dissipative Systems (World Scientific, 1999)
H.-P. Breuer, W. Huber, F. Petruccione, Phys. Rev. E 61, 4883 (2000)
T. N. Ikeda and M. Sato, Sci. Adv. 6, eabb4019 (2020)
M. Bukov, L. D’Alessio, A. Polkovnikov, Adv. in Phys. 64, 139 (2015)
A. Eckardt, E. Anisimovas, New J. Phys. 17, 93039 (2015)
A. Eckardt, Rev. Mod. Phys. 89, 011004 (2017)
T. Oka, S. Kitamura, Ann. Rev. Cond. Mat. Phys. 10, 387 (2019)
S. Takayoshi, M. Sato, T. Oka, Phys. Rev. B 90, 214413 (2014)
M. Sato, S. Takayoshi, T. Oka, Phys. Rev. Lett. 117, 147202 (2016)
M. Sato, Y. Sasaki, T. Oka,. arXiv:1404.2010
H. Fujita, M. Sato, Phys. Rev. B 95, 054421 (2017); Phys. Rev. B 96, 060407(R) (2017)
H. Fujita, M. Sato, Sci. Rep. 8, 15738 (2018)
H. Fujita, Y. Tada, M. Sato, New. J. Phys. 21, 073010 (2019)
S. Higashikawa, H. Fujita, M. Sato,. arXiv:1810.01103
H. Ishizuka, M. Sato, Phys. Rev. Lett. 122, 197702 (2019); Phys. Rev. B 100, 224411 (2019)
T.N. Ikeda, M. Sato, Phys. Rev. B 100, 214424 (2019)
N. W. Ashcroft and N. D. Mermin, Solid State Physics, (Thomson Learning, 1976)
G. Grosso, G.P. Parravicini, Solid State Physics, 2nd edn. (Academic Press, 2013)
A.A. Abrikosov, L.P. Gorkov, I.E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Dover Publications, 1975)
G.D. Mahan, Many-Particle Physics, 3rd edn. (Springer, 2000)
J.H. Shirley, Phys. Rev. 138, B979 (1965)
H. Sambe, Phys. Rev. A 7, 2203 (1973)
T. Mikami, S. Kitamura, K. Yasuda, N. Tsuji, T. Oka, H. Aoki, Phys. Rev. B 93, 144307 (2016)
T. Kuwahara, T. Mori, K. Saito, Ann. Phys. 367, 96 (2016)
T. Mori, T. Kuwahara, K. Saito, Phys. Rev. Lett. 116, 120401 (2016)
A. Lazarides, A. Das, R. Moessner, Phys. Rev. E 90, 012110 (2014)
L. D’Alessio, M. Rigol, Phys. Rev. X 4, 041048 (2014)
S. Baierl, J.H. Mentink, M. Hohenleutner, L. Braun, T.-M. Do, C. Lange, A. Sell, M. Fiebig, G. Woltersdorf, T. Kampfrath, R. Huber, Phys. Rev. Lett. 117, 197201 (2016)
J. Lu, X. Li, H.Y. Hwang, B.K. Ofori-Okai, T. Kurihara, T. Suemoto, K.A. Nelson, Phys. Rev. Lett. 118, 207204 (2017)
A. Pimenov, A.A. Mukhin, V.Y. Ivanov, V.D. Travkin, A.M. Balbashov, A. Loidl, Nat. Phys. 2, 97 (2006)
Y. Takahashi, R. Shimano, Y. Kaneko, H. Murakawa, Y. Tokura, Nat. Phys. 8, 121 (2011)
T. Kubacka, J.A. Johnson, M.C. Hoffmann, C. Vicario, S. de Jong, P. Beaud, S. Grubel, S.-W. Huang, L. Huber, L. Patthey, Y.-D. Chuang, J.J. Turner, G.L. Dakovski, W.-S. Lee, M.P. Minitti, W. Schlotter, R.G. Moore, C.P. Hauri, S.M. Koohpayeh, V. Scagnoli, G. Ingold, S.L. Johnson, U. Staub, Science 343, 1333 (2014)
A.A. Sirenko, P. Marsik, C. Bernhard, T.N. Stanislavchuk, V. Kiryukhin, S.-W. Cheong, Phys. Rev. Lett. 122, 237401 (2019)
A. Pors, E. Moreno, L. Martin-Moreno, J.B. Pendry, F.J. Garcia-Vidal, Phys. Rev. Lett. 108, 223905 (2012)
R.W. Heeres, V. Zwiller, Nano Lett. 14, 4598 (2014)
T. Arikawa, S. Morimoto, K. Tanaka, Optics Express 25, 13728 (2017)
P.S. Pershan, J.P. Van Der Ziei, L.D. Malmstrom, Phys. Rev. 143, 574 (1966)
D.H. Dunlap, V.M. Kenkre, Phys. Rev. B 34, 3625 (1986)
F. Grossmann, T. Dittrich, P. Jung, P. Hanggi, Phys. Rev. Lett. 67, 516 (1991)
T. Ishikawa, Y. Sagae, Y. Naitoh, Y. Kawakami, H. Itoh, K. Yamamoto, K. Yakushi, H. Kishida, T. Sasaki, S. Ishihara, Y. Tanaka, K. Yonemitsu, S. Iwai, Nature Comm. 5, 5528 (2014)
H. Lignier, C. Sias, D. Ciampini, Y. Singh, A. Zenesini, O. Morsch, E. Arimondo, Phys. Rev. Lett. 99, 220403 (2007)
T. Oka, H. Aoki, Phys. Rev. B 79, 081406(R) (2009)
T. Kitagawa, T. Oka, A. Brataas, L. Fu, E. Demler, Phys. Rev. B 84, 235108 (2011)
N.H. Lindner, G. Refael, V. Galitski, Nature Phys. 7, 490 (2011)
Y.H. Wang, H. Steinberg, P. Jarillo-Herrero, N. Gedik, Science 342, 453 (2013)
I. Dzyaloshinskii, J. Phys. Chem. Solids 4, 241 (1958)
T. Moriya, Phys. Rev. 120, 91 (1960)
K. Yoshida, Theory of Magnetism (Springer, 1996)
T. Kimura, T. Goto, H. Shintani, K. Ishizaka, T. Arima, Y. Tokura, Nature 426, 55 (2003)
H. Katsura, N. Nagaosa, A.V. Balatsky, Phys. Rev. Lett. 95, 057205 (2005)
Y. Tokura, S. Seki, N. Nagaosa, Rep. Prog. Phys. 77, 076501 (2014)
S. Takayoshi, H. Aoki, T. Oka, Phys. Rev. B 90, 085150 (2014)
D. Huvonen, U. Nagel, T. Room, Y.J. Choi, C.L. Zhang, S. Park, S.-W. Cheong, Phys. Rev. B 80, 100402(R) (2009)
S. Furukawa, M. Sato, S. Onoda, Phys. Rev. Lett. 105, 257205 (2010)
Y.A. Kitaev, Ann. Phys. 321, 2 (2006)
G. Jackeli, G. Khaliullin, Phys. Rev. Lett. 102, 017205 (2009)
J. Chaloupka, G. Jackeli, G. Khaliullin, Phys. Rev. Lett. 105, 027204 (2010)
Acknowledgements
I would like to thank all the collaborators of our recent works for laser-driven phenomena, especially, Shintaro Takayoshi, Takashi Oka, Tatsuhiko N. Ikeda, Hiroaki Ishizuka, Horoyuki Fujita, and Sho Higashikawa. I was supported by JSPS KAKENHI (Grant No. 17K05513 and No. 20H01830) and a Grant-in-Aid for Scientific Research on Innovative Areas “Quantum Liquid Crystals” (Grant No. JP19H05825).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Sato, M. (2021). Floquet Theory and Ultrafast Control of Magnetism. In: Kamenetskii, E. (eds) Chirality, Magnetism and Magnetoelectricity. Topics in Applied Physics, vol 138. Springer, Cham. https://doi.org/10.1007/978-3-030-62844-4_11
Download citation
DOI: https://doi.org/10.1007/978-3-030-62844-4_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-62843-7
Online ISBN: 978-3-030-62844-4
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)