Effect of In-Plane Magnetic Field on Skyrmions in a Centrosymmetric Triangular-Lattice System with Symmetric Anisotropic Exchange Interaction

We report our numerical results on the stability of the skyrmion crystal phase in an external magnetic field for both in-plane and out-of-plane directions in a centrosymmetric host. We analyze a spin model with the two-spin symmetric anisotropic exchange interaction that arises from relativistic spi...

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Main Author: Satoru Hayami
Format: Article
Language:English
Published: MDPI AG 2024-03-01
Series:Magnetism
Subjects:
Online Access:https://www.mdpi.com/2673-8724/4/1/5
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author Satoru Hayami
author_facet Satoru Hayami
author_sort Satoru Hayami
collection DOAJ
description We report our numerical results on the stability of the skyrmion crystal phase in an external magnetic field for both in-plane and out-of-plane directions in a centrosymmetric host. We analyze a spin model with the two-spin symmetric anisotropic exchange interaction that arises from relativistic spin–orbit coupling on a triangular lattice. By performing simulated annealing, we construct magnetic phase diagrams when the magnetic field is tilted from the out-of-plane field direction to the in-plane field direction. We find a different stability tendency of the skyrmion crystal phase according to the directions of the in-plane field, which provides a signal of the two-spin symmetric anisotropic exchange interaction for stabilizing the skyrmion crystal phase. Our results indicate that the mechanism of the skyrmion crystal phase triggered by the two-spin symmetric anisotropic exchange interaction can be experimentally tested by applying the in-plane magnetic field.
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spelling doaj.art-10eede1e370b4becb1e9872c94e19aac2024-03-27T13:51:59ZengMDPI AGMagnetism2673-87242024-03-0141547210.3390/magnetism4010005Effect of In-Plane Magnetic Field on Skyrmions in a Centrosymmetric Triangular-Lattice System with Symmetric Anisotropic Exchange InteractionSatoru Hayami0Graduate School of Science, Hokkaido University, Sapporo 060-0810, JapanWe report our numerical results on the stability of the skyrmion crystal phase in an external magnetic field for both in-plane and out-of-plane directions in a centrosymmetric host. We analyze a spin model with the two-spin symmetric anisotropic exchange interaction that arises from relativistic spin–orbit coupling on a triangular lattice. By performing simulated annealing, we construct magnetic phase diagrams when the magnetic field is tilted from the out-of-plane field direction to the in-plane field direction. We find a different stability tendency of the skyrmion crystal phase according to the directions of the in-plane field, which provides a signal of the two-spin symmetric anisotropic exchange interaction for stabilizing the skyrmion crystal phase. Our results indicate that the mechanism of the skyrmion crystal phase triggered by the two-spin symmetric anisotropic exchange interaction can be experimentally tested by applying the in-plane magnetic field.https://www.mdpi.com/2673-8724/4/1/5skyrmion crystalmultiple-Q magnetic statetriangular latticebond-dependent symmetric anisotropic interaction
spellingShingle Satoru Hayami
Effect of In-Plane Magnetic Field on Skyrmions in a Centrosymmetric Triangular-Lattice System with Symmetric Anisotropic Exchange Interaction
Magnetism
skyrmion crystal
multiple-Q magnetic state
triangular lattice
bond-dependent symmetric anisotropic interaction
title Effect of In-Plane Magnetic Field on Skyrmions in a Centrosymmetric Triangular-Lattice System with Symmetric Anisotropic Exchange Interaction
title_full Effect of In-Plane Magnetic Field on Skyrmions in a Centrosymmetric Triangular-Lattice System with Symmetric Anisotropic Exchange Interaction
title_fullStr Effect of In-Plane Magnetic Field on Skyrmions in a Centrosymmetric Triangular-Lattice System with Symmetric Anisotropic Exchange Interaction
title_full_unstemmed Effect of In-Plane Magnetic Field on Skyrmions in a Centrosymmetric Triangular-Lattice System with Symmetric Anisotropic Exchange Interaction
title_short Effect of In-Plane Magnetic Field on Skyrmions in a Centrosymmetric Triangular-Lattice System with Symmetric Anisotropic Exchange Interaction
title_sort effect of in plane magnetic field on skyrmions in a centrosymmetric triangular lattice system with symmetric anisotropic exchange interaction
topic skyrmion crystal
multiple-Q magnetic state
triangular lattice
bond-dependent symmetric anisotropic interaction
url https://www.mdpi.com/2673-8724/4/1/5
work_keys_str_mv AT satoruhayami effectofinplanemagneticfieldonskyrmionsinacentrosymmetrictriangularlatticesystemwithsymmetricanisotropicexchangeinteraction