Short-Period Skyrmion Crystals in Itinerant Body-Centered Tetragonal Magnets

In this study, we investigate the stability of a magnetic skyrmion crystal with short-period magnetic modulations in a centrosymmetric body-centered tetragonal system. By performing the simulated annealing for the spin model, incorporating the effects of the biquadratic interaction and high-harmonic...

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Main Author: Satoru Hayami
Format: Article
Language:English
Published: MDPI AG 2024-10-01
Series:Magnetochemistry
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Online Access:https://www.mdpi.com/2312-7481/10/10/78
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author Satoru Hayami
author_facet Satoru Hayami
author_sort Satoru Hayami
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description In this study, we investigate the stability of a magnetic skyrmion crystal with short-period magnetic modulations in a centrosymmetric body-centered tetragonal system. By performing the simulated annealing for the spin model, incorporating the effects of the biquadratic interaction and high-harmonic wave–vector interaction in momentum space, we find that the double-<i>Q</i> square skyrmion crystal consisting of two spin density waves is stabilized in an external magnetic field. We also show that double-<i>Q</i> states appear in both low- and high-field regions; the low-field spin configuration is characterized by an anisotropic double-<i>Q</i> modulation consisting of a superposition of the spiral wave and sinusoidal wave, while the high-field spin configuration is characterized by an isotropic double-<i>Q</i> modulation consisting of a superposition of two sinusoidal waves. Furthermore, we show that the obtained multiple-<i>Q</i> instabilities can be realized for various ordering wave vectors. The results provide the possibility of realizing the short-period skyrmion crystals under the body-centered tetragonal lattice structure.
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spelling doaj-art-af4e726440fd42fc961bd35f3edf23a72025-08-20T02:10:56ZengMDPI AGMagnetochemistry2312-74812024-10-0110107810.3390/magnetochemistry10100078Short-Period Skyrmion Crystals in Itinerant Body-Centered Tetragonal MagnetsSatoru Hayami0Graduate School of Science, Hokkaido University, Sapporo 060-0810, JapanIn this study, we investigate the stability of a magnetic skyrmion crystal with short-period magnetic modulations in a centrosymmetric body-centered tetragonal system. By performing the simulated annealing for the spin model, incorporating the effects of the biquadratic interaction and high-harmonic wave–vector interaction in momentum space, we find that the double-<i>Q</i> square skyrmion crystal consisting of two spin density waves is stabilized in an external magnetic field. We also show that double-<i>Q</i> states appear in both low- and high-field regions; the low-field spin configuration is characterized by an anisotropic double-<i>Q</i> modulation consisting of a superposition of the spiral wave and sinusoidal wave, while the high-field spin configuration is characterized by an isotropic double-<i>Q</i> modulation consisting of a superposition of two sinusoidal waves. Furthermore, we show that the obtained multiple-<i>Q</i> instabilities can be realized for various ordering wave vectors. The results provide the possibility of realizing the short-period skyrmion crystals under the body-centered tetragonal lattice structure.https://www.mdpi.com/2312-7481/10/10/78magnetic skyrmionbody-centered tetragonal latticebiquadratic interactionmultiple-Q stateitinerant electronhigh-harmonic wave–vector interaction
spellingShingle Satoru Hayami
Short-Period Skyrmion Crystals in Itinerant Body-Centered Tetragonal Magnets
Magnetochemistry
magnetic skyrmion
body-centered tetragonal lattice
biquadratic interaction
multiple-Q state
itinerant electron
high-harmonic wave–vector interaction
title Short-Period Skyrmion Crystals in Itinerant Body-Centered Tetragonal Magnets
title_full Short-Period Skyrmion Crystals in Itinerant Body-Centered Tetragonal Magnets
title_fullStr Short-Period Skyrmion Crystals in Itinerant Body-Centered Tetragonal Magnets
title_full_unstemmed Short-Period Skyrmion Crystals in Itinerant Body-Centered Tetragonal Magnets
title_short Short-Period Skyrmion Crystals in Itinerant Body-Centered Tetragonal Magnets
title_sort short period skyrmion crystals in itinerant body centered tetragonal magnets
topic magnetic skyrmion
body-centered tetragonal lattice
biquadratic interaction
multiple-Q state
itinerant electron
high-harmonic wave–vector interaction
url https://www.mdpi.com/2312-7481/10/10/78
work_keys_str_mv AT satoruhayami shortperiodskyrmioncrystalsinitinerantbodycenteredtetragonalmagnets