Breathing mode of a skyrmion on a lattice
Abstract
The breathing modes of a skyrmion, corresponding to coupled oscillations of its size and chirality angle, are studied numerically for a conservative classical-spin system on a 500 × 500 lattice. The dependence of the oscillation frequency on the magnetic field is computed for a model with Dzyaloshinskii-Moriya interaction. In accordance with previous works, it is linear at small fields, reaches maximum on increasing the field, then sharply tends to zero as the field approaches the threshold above which the skyrmion loses stability and collapses. Physically transparent analytical model is developed that explains the results qualitatively and provides the field dependence of the oscillation frequency that is close to the one computed numerically. Dissipation of a breathing motion in which the skyrmion chirality angle γ is rotating in one direction depends on the initial amplitude. Below a certain threshold the mode is stable, while above that threshold it becomes strongly damped by the reservoir of spin waves and quickly ends with the skyrmion collapse. To the contrary, smaller-amplitude breathing motion in which γ oscillates is undamped in the absence of other interactions. Adding perpendicular anisotropy and removing the applied field makes the breathing mode of any amplitude very slow and undamped.
- Authors:
-
- City Univ. of New York (CUNY), NY (United States). Herbert H. Lehman College and Graduate School
- City Univ. of New York (CUNY), Long Island City, NY (United States). LaGuardia Community College
- Publication Date:
- Research Org.:
- City Univ. of New York (CUNY), NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1593364
- Grant/Contract Number:
- FG02-93ER45487
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 101; Journal Issue: 1; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; skyrmion; nanomagnetism; topology; oscillations; Dzyaloshinskii-Moriya interaction
Citation Formats
Garanin, Dmitry A., Jaafar, Reem, and Chudnovsky, Eugene M. Breathing mode of a skyrmion on a lattice. United States: N. p., 2020.
Web. doi:10.1103/PhysRevB.101.014418.
Garanin, Dmitry A., Jaafar, Reem, & Chudnovsky, Eugene M. Breathing mode of a skyrmion on a lattice. United States. https://doi.org/10.1103/PhysRevB.101.014418
Garanin, Dmitry A., Jaafar, Reem, and Chudnovsky, Eugene M. Tue .
"Breathing mode of a skyrmion on a lattice". United States. https://doi.org/10.1103/PhysRevB.101.014418. https://www.osti.gov/servlets/purl/1593364.
@article{osti_1593364,
title = {Breathing mode of a skyrmion on a lattice},
author = {Garanin, Dmitry A. and Jaafar, Reem and Chudnovsky, Eugene M.},
abstractNote = {The breathing modes of a skyrmion, corresponding to coupled oscillations of its size and chirality angle, are studied numerically for a conservative classical-spin system on a 500 × 500 lattice. The dependence of the oscillation frequency on the magnetic field is computed for a model with Dzyaloshinskii-Moriya interaction. In accordance with previous works, it is linear at small fields, reaches maximum on increasing the field, then sharply tends to zero as the field approaches the threshold above which the skyrmion loses stability and collapses. Physically transparent analytical model is developed that explains the results qualitatively and provides the field dependence of the oscillation frequency that is close to the one computed numerically. Dissipation of a breathing motion in which the skyrmion chirality angle γ is rotating in one direction depends on the initial amplitude. Below a certain threshold the mode is stable, while above that threshold it becomes strongly damped by the reservoir of spin waves and quickly ends with the skyrmion collapse. To the contrary, smaller-amplitude breathing motion in which γ oscillates is undamped in the absence of other interactions. Adding perpendicular anisotropy and removing the applied field makes the breathing mode of any amplitude very slow and undamped.},
doi = {10.1103/PhysRevB.101.014418},
journal = {Physical Review B},
number = 1,
volume = 101,
place = {United States},
year = {2020},
month = {1}
}
Web of Science
Works referenced in this record:
Observation of Magnetic Excitations of Skyrmion Crystal in a Helimagnetic Insulator
journal, July 2012
- Onose, Y.; Okamura, Y.; Seki, S.
- Physical Review Letters, Vol. 109, Issue 3
Spin eigenmodes of magnetic skyrmions and the problem of the effective skyrmion mass
journal, February 2018
- Kravchuk, Volodymyr P.; Sheka, Denis D.; Rößler, Ulrich K.
- Physical Review B, Vol. 97, Issue 6
Localized spin waves in isolated k π skyrmions
journal, December 2018
- Rózsa, Levente; Hagemeister, Julian; Vedmedenko, Elena Y.
- Physical Review B, Vol. 98, Issue 22
Dynamics and inertia of a skyrmion in chiral magnets and interfaces: A linear response approach based on magnon excitations
journal, July 2017
- Lin, Shi-Zeng
- Physical Review B, Vol. 96, Issue 1
Room-temperature chiral magnetic skyrmions in ultrathin magnetic nanostructures
journal, January 2016
- Boulle, Olivier; Vogel, Jan; Yang, Hongxin
- Nature Nanotechnology, Vol. 11, Issue 5
Additive interfacial chiral interaction in multilayers for stabilization of small individual skyrmions at room temperature
journal, January 2016
- Moreau-Luchaire, C.; Moutafis, C.; Reyren, N.
- Nature Nanotechnology, Vol. 11, Issue 5
Field-Dependent Size and Shape of Single Magnetic Skyrmions
journal, May 2015
- Romming, Niklas; Kubetzka, André; Hanneken, Christian
- Physical Review Letters, Vol. 114, Issue 17
The properties of isolated chiral skyrmions in thin magnetic films
journal, May 2016
- Leonov, A. O.; Monchesky, T. L.; Romming, N.
- New Journal of Physics, Vol. 18, Issue 6
A strategy for the design of skyrmion racetrack memories
journal, October 2014
- Tomasello, R.; Martinez, E.; Zivieri, R.
- Scientific Reports, Vol. 4, Issue 1
Random field model in three dimensions
journal, December 2013
- Garanin, D. A.; Chudnovsky, E. M.; Proctor, T.
- Physical Review B, Vol. 88, Issue 22
Collective spin excitations of helices and magnetic skyrmions: review and perspectives of magnonics in non-centrosymmetric magnets
journal, June 2017
- Garst, Markus; Waizner, Johannes; Grundler, Dirk
- Journal of Physics D: Applied Physics, Vol. 50, Issue 29
Inertia and Chiral Edge Modes of a Skyrmion Magnetic Bubble
journal, November 2012
- Makhfudz, Imam; Krüger, Benjamin; Tchernyshyov, Oleg
- Physical Review Letters, Vol. 109, Issue 21
Collapse of skyrmions in two-dimensional ferromagnets and antiferromagnets
journal, July 2012
- Cai, Liufei; Chudnovsky, Eugene M.; Garanin, D. A.
- Physical Review B, Vol. 86, Issue 2
Quantum collapse of a magnetic skyrmion
journal, July 2018
- Derras-Chouk, Amel; Chudnovsky, Eugene M.; Garanin, Dmitry A.
- Physical Review B, Vol. 98, Issue 2
Skyrmions in magnetic multilayers
journal, August 2017
- Jiang, Wanjun; Chen, Gong; Liu, Kai
- Physics Reports, Vol. 704
Writing and Deleting Single Magnetic Skyrmions
journal, August 2013
- Romming, N.; Hanneken, C.; Menzel, M.
- Science, Vol. 341, Issue 6146
Characterizing breathing dynamics of magnetic skyrmions and antiskyrmions within the Hamiltonian formalism
journal, February 2019
- McKeever, B. F.; Rodrigues, D. R.; Pinna, D.
- Physical Review B, Vol. 99, Issue 5
Spin-Wave Modes and Their Intense Excitation Effects in Skyrmion Crystals
journal, January 2012
- Mochizuki, Masahito
- Physical Review Letters, Vol. 108, Issue 1
Magnon-skyrmion scattering in chiral magnets
journal, September 2014
- Schütte, Christoph; Garst, Markus
- Physical Review B, Vol. 90, Issue 9
Magnetic skyrmions: advances in physics and potential applications
journal, June 2017
- Fert, Albert; Reyren, Nicolas; Cros, Vincent
- Nature Reviews Materials, Vol. 2, Issue 7
Theory of isolated magnetic skyrmions: From fundamentals to room temperature applications
journal, March 2018
- Büttner, Felix; Lemesh, Ivan; Beach, Geoffrey S. D.
- Scientific Reports, Vol. 8, Issue 1
Breathing modes of confined skyrmions in ultrathin magnetic dots
journal, August 2014
- Kim, Joo-Von; Garcia-Sanchez, Felipe; Sampaio, João
- Physical Review B, Vol. 90, Issue 6
Magnetic skyrmions: from fundamental to applications
journal, September 2016
- Finocchio, Giovanni; Büttner, Felix; Tomasello, Riccardo
- Journal of Physics D: Applied Physics, Vol. 49, Issue 42
Topological properties and dynamics of magnetic skyrmions
journal, December 2013
- Nagaosa, Naoto; Tokura, Yoshinori
- Nature Nanotechnology, Vol. 8, Issue 12
Thermal stability of metastable magnetic skyrmions: Entropic narrowing and significance of internal eigenmodes
journal, October 2018
- Desplat, L.; Suess, D.; Kim, J-V.
- Physical Review B, Vol. 98, Issue 13
Magnetic skyrmion logic gates: conversion, duplication and merging of skyrmions
journal, March 2015
- Zhang, Xichao; Ezawa, Motohiko; Zhou, Yan
- Scientific Reports, Vol. 5, Issue 1
Internal modes of a skyrmion in the ferromagnetic state of chiral magnets
journal, January 2014
- Lin, Shi-Zeng; Batista, Cristian D.; Saxena, Avadh
- Physical Review B, Vol. 89, Issue 2
Magnetization reversal via internal spin waves in magnetic nanoparticles
journal, July 2009
- Garanin, D. A.; Kachkachi, H.
- Physical Review B, Vol. 80, Issue 1
Deriving the skyrmion Hall angle from skyrmion lattice dynamics
journal, May 2021
- Brearton, R.; Turnbull, L. A.; Verezhak, J. A. T.
- Nature Communications, Vol. 12, Issue 1
Topological solitons
journal, December 2012
- Shnir, Ya. M.
- Physics of Particles and Nuclei Letters, Vol. 9, Issue 9-10
Magnetization reversal via internal spin waves in magnetic nanoparticles
text, January 2009
- Garanin, D. A.; Kachkachi, H.
- arXiv
Spin-Wave Modes and Their Intense Excitation Effects in Skyrmion Crystals
text, January 2011
- Mochizuki, Masahito
- arXiv
Breathing modes of confined skyrmions in ultrathin magnetic dots
text, January 2014
- Kim, Joo-Von; Garcia-Sanchez, Felipe; Sampaio, Joao
- arXiv
Field-Dependent Size and Shape of Single Magnetic Skyrmions
text, January 2015
- Romming, Niklas; Kubetzka, André; Hanneken, Christian
- arXiv
Thermal stability of metastable magnetic skyrmions: Entropic narrowing and significance of internal eigenmodes
text, January 2018
- Desplat, L.; Suess, D.; Kim, J-V.
- arXiv