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Spin Dynamics in the Time and Frequency Domain

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Magnetic Nanostructures

Part of the book series: Springer Tracts in Modern Physics ((STMP,volume 246))

Abstract

The current status of experimental approaches to analyze the spin wave dynamics in ferromagnetic nanoscale structures is reviewed. Recent developments in frequency- and field swept spectroscopy to determine the resonant response of nanoscale ferromagnets are described together with time-resolved measurements in the GHz frequency and pico second time domain, respectively. Examples for the analysis and manipulation of different mechanisms for the relaxation of the magnetization after microwave excitation into its ground state are presented.

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Notes

  1. 1.

    For a more detailed description of spin torque, see Chap. 2 by J. Lindner et al. in this book

  2. 2.

    A similar equation is presented in Chap. 2 by J. Lindner et al, though in terms of the Landau-Lifshitz-Gilbert damping phenomenology rather than the Landau-Lifshitz formulation employed here. In the limit of small damping, both equations are equivalent.

  3. 3.

    This particular form of the susceptibility tensor presumes that \({d^{2}{U}^{\prime }} \mathord {\left. {} \right. } {\left( {dm_{x} dm_{y} } \right)}=0\), i.e. the \(x\) and \(y\) coordinates have been chosen to lie along principal axes of the anisotropy, and the applied field is perpendicular to the \(x-y\) plane.

  4. 4.

    One must remember that the magnetization and angular momentum are antiparallel for electrons. Thus, a torque that is antiparallel to the magnetization will act to increase the magnetization along the torque.

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Acknowledgments

This chapter is dedicated to the memory of Douglas L. Mills who lost his long battle with leukemia during the writing of this chapter. We thank all former and present co-workers—many of them appearing as co-authors of our publications—who have contributed to the results presented here. This work was supported by the DFG, Sfb 491. G.W. acknowledges financial support from the DFG through SFB 689 and project WO1422/2-1.

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  1. Fakultät für Physik and Center for NanoIntegration Duisburg-Essen (CENIDE), Universität Duisburg-Essen, Lotharstr. 1, 47057, Duisburg, Germany

    Michael Farle

  2. National Institute of Standards and Technology, Boulder, Colorado, USA

    Tom Silva

  3. Department of Physics/ Magnetism Group, Universität Regensburg, Universitätsstraße 31, 93040, Regensburg, Germany

    Georg Woltersdorf

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  1. Michael Farle
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  2. Tom Silva
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  3. Georg Woltersdorf
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Correspondence to Michael Farle .

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  1. , Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, Bochum, 44780, Germany

    Hartmut Zabel

  2. , Fac. of Physics, University Duisburg-Essen, Lotharstr. 1, Duisburg, 47048, Germany

    Michael Farle

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Farle, M., Silva, T., Woltersdorf, G. (2013). Spin Dynamics in the Time and Frequency Domain. In: Zabel, H., Farle, M. (eds) Magnetic Nanostructures. Springer Tracts in Modern Physics, vol 246. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32042-2_2

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