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Non-equilibrium Spin–Spin Interactions in Strongly Correlated Systems

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Ultrafast Magnetism I

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 159))

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Abstract

We develop a theory for magnetism of strongly correlated systems driven out of equilibrium by an external time-dependent electric field. We provide expressions for computing the effective interaction parameters between electronic spins, including a new interaction that we name twist exchange. Our theory is suitable for laser-induced ultrafast magnetization dynamics.

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References

  1. E. L. Nagaev, “Physics of Magnetic Semiconductors” (Mir Publishers, Moscow, 1983).

    Google Scholar 

  2. M. I. Auslender, M. I. Katsnelson, “The effective spin Hamiltonian and phase separation instability of the almost half-filled Hubbard model and the narrow-band s-f model” Solid State Communications 44, 387-389 (1982).

    Google Scholar 

  3. V. Y. Irkhin, M. I. Katsnelson, “Spin waves in narrow-gap ferromagnetic semiconductors” Sov. Phys. JETP 61, 306-311 (1985).

    Google Scholar 

  4. S. A. Turzhevskii, A. I. Lichtenstein, M. I. Katsnelson, “Degree of localization of magnetic moments and the non-Heisenberg character of exchange interactions in metals and alloys” Sov. Phys. Solid State 32, 1138-114 (1990).

    Google Scholar 

  5. A. I. Liechtenstein, M. I. Katsnelson, V. P. Antropov, V. A. Gubanov, “Local spin density functional approach to the theory of exchange interactions in ferromagnetic metals and alloys” J. Magn. Magn. Mater. 67, 65-74 (1987).

    Google Scholar 

  6. M. I. Katsnelson, A. I. Lichtenstein, “First-principles calculations of magnetic interactions in correlated systems” Phys. Rev. B 61, 8906-8912 (2000).

    Google Scholar 

  7. A. Kirilyuk, A. V. Kimel, Th. Rasing, “Ultrafast optical manipulation of magnetic order” Rev. Mod. Phys. 82, 2731-2784 (2010).

    Google Scholar 

  8. A. Secchi, S. Brener, A. I. Lichtenstein, M. I. Katsnelson, “Non-equilibrium magnetic interactions in strongly correlated systems” Ann. Phys. 333, 221-271 (2013).

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  9. L. P. Kadanoff, G. Baym, “Quantum Statistical Mechanics” (W. A. Benjamin, Inc., New York, 1962).

    Google Scholar 

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Acknowledgments

The authors acknowledge useful discussions with Johan Mentink, Martin Eckstein, Laszlo Szunyogh, Oksana Chubykalo-Fesenko, Ulrich Nowak, Peter Oppeneer, Theo Rasing and Roy Chantrell. This work is supported by the European Union ERC Grant Agreement No. 281043 (FEMTOSPIN) and SFB925 (Germany).

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Correspondence to A. Secchi .

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Secchi, A., Brener, S., Lichtenstein, A.I., Katsnelson, M.I. (2015). Non-equilibrium Spin–Spin Interactions in Strongly Correlated Systems. In: Bigot, JY., Hübner, W., Rasing, T., Chantrell, R. (eds) Ultrafast Magnetism I. Springer Proceedings in Physics, vol 159. Springer, Cham. https://doi.org/10.1007/978-3-319-07743-7_57

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