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Boundary conditions for and ferromagnetic resonance spectra of magnetic bilayers coupled by interlayer Dzyaloshinskii-Moriya interactions

2024/11/22 by E. Y. Vedmedenko, Vedmedenko, Elena Y., Mikhail Kostylev +1
Materials Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Liquid Crystal Research Advancements #Materials Science (cond-mat.mtrl-sci) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Spectral Theory in Mathematical Physics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2411.15010

openalex publication_date 2024/11/22 · openalex created_date 2024/12/04 · openalex updated_date 2026/07/28

Abstract

Interfacial Dzyaloshinskii-Moriya interaction (IF-DMI) leads to non-collinear spin configurations within the magnetic layers of multilayer heterostructures, while its interlayer counterpart (IL-DMI) minimizes chiral states between the layers. Here, we demonstrate that the symmetries of these interactions are very different, even though both arise from pairwise exchange interactions between magnetic sites mediated by nonmagnetic atoms. By deriving new boundary conditions for the exchange operator and solving the associated boundary value problem, we show that, unlike IF-DMI, which does not contribute to the FMR frequencies, IL-DMI alters the frequencies of the fundamental FMR modes and can be separated from other contributions in an FMR experiment.

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