Nutational resonance modes in antiferromagnetic materials

Abstract The Landau–Lifshitz–Gilbert (LLG) equation is well-established to describe the spin dynamics of magnetic materials. This first-order differential equation is based on the assumption that the spin angular momenta and corresponding magnetic moments are always parallel. While this assumption i...

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Main Authors: David Angster, Tobias Dannegger, Julius Schlegel, Martin Evers, Ulrich Nowak
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-08746-0
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author David Angster
Tobias Dannegger
Julius Schlegel
Martin Evers
Ulrich Nowak
author_facet David Angster
Tobias Dannegger
Julius Schlegel
Martin Evers
Ulrich Nowak
author_sort David Angster
collection DOAJ
description Abstract The Landau–Lifshitz–Gilbert (LLG) equation is well-established to describe the spin dynamics of magnetic materials. This first-order differential equation is based on the assumption that the spin angular momenta and corresponding magnetic moments are always parallel. While this assumption is largely unproblematic, both theoretical considerations and experimental results have indicated that the two may become separated on ultrafast timescales, giving rise to inertial dynamics along with a modified spin wave dispersion. Here, we apply linear spin wave theory to the inertial LLG equation to compute the eigenmodes of the altermagnetic materials SmErFeO3 and $$\alpha$$ -Fe2O3. We find the largest influence of nutation on the magnetic resonances in the case of hematite, which exhibits both a sizeable shift of the resonance frequencies as compared to the inertia-free case and additional nutational resonances that are in a similar order of magnitude to the materials’ higher-frequency precessional exchange modes. While the realistic magnitude of the inertial parameter remains an open question, we hope that our quantitative analysis provides the starting point for further experimental investigations.
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spelling doaj-art-e92fd45973134fdea1b3fb461d3b9e622025-08-20T03:03:42ZengNature PortfolioScientific Reports2045-23222025-07-0115111410.1038/s41598-025-08746-0Nutational resonance modes in antiferromagnetic materialsDavid Angster0Tobias Dannegger1Julius Schlegel2Martin Evers3Ulrich Nowak4Fachbereich Physik, Universität KonstanzFachbereich Physik, Universität KonstanzFachbereich Physik, Universität KonstanzFachbereich Physik, Universität KonstanzFachbereich Physik, Universität KonstanzAbstract The Landau–Lifshitz–Gilbert (LLG) equation is well-established to describe the spin dynamics of magnetic materials. This first-order differential equation is based on the assumption that the spin angular momenta and corresponding magnetic moments are always parallel. While this assumption is largely unproblematic, both theoretical considerations and experimental results have indicated that the two may become separated on ultrafast timescales, giving rise to inertial dynamics along with a modified spin wave dispersion. Here, we apply linear spin wave theory to the inertial LLG equation to compute the eigenmodes of the altermagnetic materials SmErFeO3 and $$\alpha$$ -Fe2O3. We find the largest influence of nutation on the magnetic resonances in the case of hematite, which exhibits both a sizeable shift of the resonance frequencies as compared to the inertia-free case and additional nutational resonances that are in a similar order of magnitude to the materials’ higher-frequency precessional exchange modes. While the realistic magnitude of the inertial parameter remains an open question, we hope that our quantitative analysis provides the starting point for further experimental investigations.https://doi.org/10.1038/s41598-025-08746-0NutationAntiferromagnetic ResonanceSpintronics
spellingShingle David Angster
Tobias Dannegger
Julius Schlegel
Martin Evers
Ulrich Nowak
Nutational resonance modes in antiferromagnetic materials
Scientific Reports
Nutation
Antiferromagnetic Resonance
Spintronics
title Nutational resonance modes in antiferromagnetic materials
title_full Nutational resonance modes in antiferromagnetic materials
title_fullStr Nutational resonance modes in antiferromagnetic materials
title_full_unstemmed Nutational resonance modes in antiferromagnetic materials
title_short Nutational resonance modes in antiferromagnetic materials
title_sort nutational resonance modes in antiferromagnetic materials
topic Nutation
Antiferromagnetic Resonance
Spintronics
url https://doi.org/10.1038/s41598-025-08746-0
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AT tobiasdannegger nutationalresonancemodesinantiferromagneticmaterials
AT juliusschlegel nutationalresonancemodesinantiferromagneticmaterials
AT martinevers nutationalresonancemodesinantiferromagneticmaterials
AT ulrichnowak nutationalresonancemodesinantiferromagneticmaterials