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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:
-
[1];
- 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) (SC-22)
- 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. doi: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. doi:10.1103/PhysRevB.101.014418.
@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}
}
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