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MMM 2022

November 07, 2022

Minneapolis, United States

Theory of confined magnons in 3D heterostructures

Understanding magnons in confined geometry that relates to experimental devices is rather challenging, since device heterostructures, e.g. Spin Seebeck devices, are a combination of both ferromagnetic (FM) and antiferromagnetic (AFM) layers 1. The size of the layers can range from hundreds to several atomic layers, hence discontinuities on a short length scale where a change of magnetic properties is abrupt, in presence of magnetic anisotropies, bring an extra challenge in determining the magnon dynamics, dispersion as well as prorogation in such structures. In this work, we extend the method, used in 2 where the spin-scattering function was calculated for 1D finite chains, to 3D systems. In particular, we show how to modify this approach to calculate the dynamics of magnon modes in finite systems using second quantisation of the Heisenberg Hamiltonian for thin film and interfaces, as well as hetero-structure between FM and AFM layers, taking into account surface and interface anisotropies and exchange parameters. The effect of such changes in the parameters of the system leads to the appearance of confined states at the surfaces and interfaces of the heterostructures, Fig. 1. We study the effect that such confined states have on the spin-scattering function, which can be regarded as a proxy for neutron-scattering.
1 Lin, W., et. al. Physical Review Letters, Vol.116, p.186601 (2016)
2 Bearisto, B., Phys. Rev. B, Vol.104, p.134415 (2021)
3 Pajda, M., Phys. Rev. B, Vol.64, p.174402 (2001)

Spin scattering function for Fe BCC, exchange parameters are taken from 3 and experimental points (solid black dots) were reproduced from the same paper. We can see a clear resonance matching the bulk dispersion, as well as a line that corresponds to localized surface states.

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