Curvature-induced parity loss and hybridization of magnons: Exploring the connection of flat and tubular magnetic shells

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Main Authors: Brevis, Felipe, Landeros, Pedro, Lindner, Jürgen, Kákay, Attila, Körber, Lukas
Format: Preprint
Published: 2024
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author Brevis, Felipe
Landeros, Pedro
Lindner, Jürgen
Kákay, Attila
Körber, Lukas
author_facet Brevis, Felipe
Landeros, Pedro
Lindner, Jürgen
Kákay, Attila
Körber, Lukas
contents This paper delves into the connection between flat and curvilinear magnetization dynamics. For this, we numerically study the evolution of the magnon spectrum of rectangular waveguides upon rolling its cross-section up to a full tube. Magnon spectra are calculated over a wide range of magnetization states using a finite-element dynamic-matrix method, which allows us to trace the evolution of the magnon frequencies and several critical magnetic fields with increasing curvature. By analyzing the parity of the higher-order magnon modes, we find a curvature-induced mode hetero-symmetry that originates from a chiral contribution to the exchange interaction and is related to the Berry phase of magnons in closed loops. Importantly, this curvature-induced parity loss has profound consequences for the linear coupling between different propagating magnons, allowing for hybridization between initially orthogonal modes. In this context, we demonstrate the integral role of edge modes in forming the magnon spectrum in full tubes. Our findings provide new theoretical insights into curvilinear magnetization dynamics and are relevant for interpreting and designing experiments in the field.
format Preprint
id arxiv_https___arxiv_org_abs_2408_04416
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Curvature-induced parity loss and hybridization of magnons: Exploring the connection of flat and tubular magnetic shells
Brevis, Felipe
Landeros, Pedro
Lindner, Jürgen
Kákay, Attila
Körber, Lukas
Mesoscale and Nanoscale Physics
Materials Science
This paper delves into the connection between flat and curvilinear magnetization dynamics. For this, we numerically study the evolution of the magnon spectrum of rectangular waveguides upon rolling its cross-section up to a full tube. Magnon spectra are calculated over a wide range of magnetization states using a finite-element dynamic-matrix method, which allows us to trace the evolution of the magnon frequencies and several critical magnetic fields with increasing curvature. By analyzing the parity of the higher-order magnon modes, we find a curvature-induced mode hetero-symmetry that originates from a chiral contribution to the exchange interaction and is related to the Berry phase of magnons in closed loops. Importantly, this curvature-induced parity loss has profound consequences for the linear coupling between different propagating magnons, allowing for hybridization between initially orthogonal modes. In this context, we demonstrate the integral role of edge modes in forming the magnon spectrum in full tubes. Our findings provide new theoretical insights into curvilinear magnetization dynamics and are relevant for interpreting and designing experiments in the field.
title Curvature-induced parity loss and hybridization of magnons: Exploring the connection of flat and tubular magnetic shells
topic Mesoscale and Nanoscale Physics
Materials Science
url https://arxiv.org/abs/2408.04416