Magnetic exchange interactions in yttrium iron garnet: A fully relativistic first-principles investigation

Magnetic isotropic and Dzyaloshinskii-Moriya interactions in yttrium iron garnet have been obtained by initio fully relativistic calculations. The calculated coupling constants are in agreement with available experimental data. Using linear spin-wave theory, we are able to reproduce the experimental magnon spectrum including the spin-wave gap and stiffness. The way to calculate the exchange coupling constants using the Korringa-Kohn-Rostoker formalism for large magnetic systems such as complex oxides is discussed in detail.

Automated summary

By combining ab initio calculations with experimental data, this study successfully determines the magnetic isotropic and Dzyaloshinskii-Moriya interactions in yttrium iron garnet, with calculated coupling constants matching available experimental results. Additionally, linear spin-wave theory is used to replicate the experimental magnon spectrum, including the spin-wave gap and stiffness. The study also discusses the detailed method of calculating exchange coupling constants for large magnetic systems like complex oxides using the Korringa-Kohn-Rostoker formalism.