Hybrid skyrmion and anti-skyrmion phases in polar $C_{\rm 4v}$ systems

Fuente: arXiv
Salvato in:
Dettagli Bibliografici
Autore principale: Hayami, Satoru
Natura: Preprint
Pubblicazione: 2024
Soggetti:
Accesso online:
Tags: Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
_version_ 1866910416600301568
author Hayami, Satoru
author_facet Hayami, Satoru
contents We investigate the stability of the skyrmion crystal phase in a tetragonal polar system with the Dzyaloshinskii-Moriya interaction by focusing on the symmetry of ordering wave vectors forming the skyrmion crystal. Our analysis is based on numerical simulations for an effective spin model, which is derived from the weak-coupling regime in the Kondo lattice model on a polar square lattice. We show that a hybrid square skyrmion crystal consisting of Bloch and Néel spin textures emerges even under polar $C_{\rm 4v}$ symmetries when the ordering wave vectors correspond to low-symmetric wave vectors in momentum space, which is in contrast to the expectation from the Lifshitz invariants. We also show the instability toward the anti-skyrmion crystal and rhombic skyrmion crystal depending on the direction of the Dzyaloshinskii-Moriya vector in momentum space. Furthermore, we show that the regions of the skyrmion crystal phases are affected by taking into account the symmetric anisotropic exchange interaction. Our results open the potential direction of engineering the hybrid skyrmion crystal and anti-skyrmion crystal phases in polar magnets.
format Preprint
id arxiv_https___arxiv_org_abs_2401_04245
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Hybrid skyrmion and anti-skyrmion phases in polar $C_{\rm 4v}$ systems
Hayami, Satoru
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
We investigate the stability of the skyrmion crystal phase in a tetragonal polar system with the Dzyaloshinskii-Moriya interaction by focusing on the symmetry of ordering wave vectors forming the skyrmion crystal. Our analysis is based on numerical simulations for an effective spin model, which is derived from the weak-coupling regime in the Kondo lattice model on a polar square lattice. We show that a hybrid square skyrmion crystal consisting of Bloch and Néel spin textures emerges even under polar $C_{\rm 4v}$ symmetries when the ordering wave vectors correspond to low-symmetric wave vectors in momentum space, which is in contrast to the expectation from the Lifshitz invariants. We also show the instability toward the anti-skyrmion crystal and rhombic skyrmion crystal depending on the direction of the Dzyaloshinskii-Moriya vector in momentum space. Furthermore, we show that the regions of the skyrmion crystal phases are affected by taking into account the symmetric anisotropic exchange interaction. Our results open the potential direction of engineering the hybrid skyrmion crystal and anti-skyrmion crystal phases in polar magnets.
title Hybrid skyrmion and anti-skyrmion phases in polar $C_{\rm 4v}$ systems
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2401.04245