Theory of the dipole-exchange spin wave spectrum in ferromagnetic films with in-plane magnetization revisited

J. S. Harms; R. A. Duine

doi:10.1016/j.jmmm.2022.169426

Theory of the dipole-exchange spin wave spectrum in ferromagnetic films with in-plane magnetization revisited

J. S. Harms^*, R. A. Duine

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We present a refinement of the widely accepted spin-wave spectrum that Kalinikos and Slavin (Kalinikos, 1981; Kalinikos and Slavin, 1986) computed for magnetic films with an in-plane magnetization. The spin wave spectrum that follows from the diagonal approximation in this theory becomes inaccurate for relatively thick films, as has already been noted by Kreisel et al. (2009). Rather than solving an integrodifferential equation which follows from the magnetostatic Green's function, as done by Kalinikos and Slavin (Kalinikos, 1981; Kalinikos and Slavin, 1986), we impose the exchange and magnetostatic boundary conditions on bulk spin-wave solutions. This boundary problem has an accurate analytical solution which is quantitatively different from the commonly used diagonal theory (Kalinikos, 1981; Kalinikos and Slavin, 1986) for magnetic films.

Original language	English
Article number	169426
Pages (from-to)	1-6
Number of pages	6
Journal	Journal of Magnetism and Magnetic Materials
Volume	557
DOIs	https://doi.org/10.1016/j.jmmm.2022.169426
Publication status	Published - 1 Sept 2022

Bibliographical note

Funding Information:
J.S.H. would like thank A. Rückriegel for helpful discussions and D. A. Bozhko for useful comments on the preprint. R.A.D. is member of the D-ITP consortium, a program of the Netherlands Organisation for Scientific Research (NWO) that is funded by the Dutch Ministry of Education, Culture and Science, Netherlands (OCW). This work is part of the Fluid Spintronics research programme with project number 182.069 , which is financed by the Dutch Research Council, Netherlands (NWO).

Publisher Copyright:
© 2022 The Author(s)

Funding

J.S.H. would like thank A. Rückriegel for helpful discussions and D. A. Bozhko for useful comments on the preprint. R.A.D. is member of the D-ITP consortium, a program of the Netherlands Organisation for Scientific Research (NWO) that is funded by the Dutch Ministry of Education, Culture and Science, Netherlands (OCW). This work is part of the Fluid Spintronics research programme with project number 182.069 , which is financed by the Dutch Research Council, Netherlands (NWO).

Keywords

Magnetism
Magnonics
Spin waves
Thin films

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10.1016/j.jmmm.2022.169426Licence: CC BY

1-s2.0-S0304885322003584-mainFinal published version, 817 KBLicence: CC BY

Cite this

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abstract = "We present a refinement of the widely accepted spin-wave spectrum that Kalinikos and Slavin (Kalinikos, 1981; Kalinikos and Slavin, 1986) computed for magnetic films with an in-plane magnetization. The spin wave spectrum that follows from the diagonal approximation in this theory becomes inaccurate for relatively thick films, as has already been noted by Kreisel et al. (2009). Rather than solving an integrodifferential equation which follows from the magnetostatic Green's function, as done by Kalinikos and Slavin (Kalinikos, 1981; Kalinikos and Slavin, 1986), we impose the exchange and magnetostatic boundary conditions on bulk spin-wave solutions. This boundary problem has an accurate analytical solution which is quantitatively different from the commonly used diagonal theory (Kalinikos, 1981; Kalinikos and Slavin, 1986) for magnetic films.",

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N2 - We present a refinement of the widely accepted spin-wave spectrum that Kalinikos and Slavin (Kalinikos, 1981; Kalinikos and Slavin, 1986) computed for magnetic films with an in-plane magnetization. The spin wave spectrum that follows from the diagonal approximation in this theory becomes inaccurate for relatively thick films, as has already been noted by Kreisel et al. (2009). Rather than solving an integrodifferential equation which follows from the magnetostatic Green's function, as done by Kalinikos and Slavin (Kalinikos, 1981; Kalinikos and Slavin, 1986), we impose the exchange and magnetostatic boundary conditions on bulk spin-wave solutions. This boundary problem has an accurate analytical solution which is quantitatively different from the commonly used diagonal theory (Kalinikos, 1981; Kalinikos and Slavin, 1986) for magnetic films.

AB - We present a refinement of the widely accepted spin-wave spectrum that Kalinikos and Slavin (Kalinikos, 1981; Kalinikos and Slavin, 1986) computed for magnetic films with an in-plane magnetization. The spin wave spectrum that follows from the diagonal approximation in this theory becomes inaccurate for relatively thick films, as has already been noted by Kreisel et al. (2009). Rather than solving an integrodifferential equation which follows from the magnetostatic Green's function, as done by Kalinikos and Slavin (Kalinikos, 1981; Kalinikos and Slavin, 1986), we impose the exchange and magnetostatic boundary conditions on bulk spin-wave solutions. This boundary problem has an accurate analytical solution which is quantitatively different from the commonly used diagonal theory (Kalinikos, 1981; Kalinikos and Slavin, 1986) for magnetic films.

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Theory of the dipole-exchange spin wave spectrum in ferromagnetic films with in-plane magnetization revisited

Abstract

Bibliographical note

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Keywords

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