Skyrmion crystal phase on a magnetic domain wall in chiral magnets

Fuente: arXiv
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Auteurs principaux: Amari, Yuki, Nitta, Muneto
Format: Preprint
Publié: 2024
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author Amari, Yuki
Nitta, Muneto
author_facet Amari, Yuki
Nitta, Muneto
contents We study a magnetic domain wall in the ferromagnetic phase in chiral magnets in two dimensions with an in-plane easy-axis anisotropy and an out-of-plane Zeeman magnetic field, and find a chiral soliton lattice (spiral) phase beside a ferromagnetic phase inside the domain line, where the former represents a domain-wall skyrmion crystal from the bulk point of view. We first determine the phase diagram on the domain wall by numerically constructing domain-wall solutions. We then analytically reproduce the phase diagram in a domain-wall theory (a chiral double sine-Gordon model) that we construct within the moduli approximation by treating the Zeeman magnetic field perturbatively. While we find good agreements between the phase diagrams of the numerical and effective theory methods, the numerical solution exhibits a decomposition of the topological charge into a bimeron which cannot be captured by the effective theory.
format Preprint
id arxiv_https___arxiv_org_abs_2409_07943
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Skyrmion crystal phase on a magnetic domain wall in chiral magnets
Amari, Yuki
Nitta, Muneto
Mesoscale and Nanoscale Physics
High Energy Physics - Theory
We study a magnetic domain wall in the ferromagnetic phase in chiral magnets in two dimensions with an in-plane easy-axis anisotropy and an out-of-plane Zeeman magnetic field, and find a chiral soliton lattice (spiral) phase beside a ferromagnetic phase inside the domain line, where the former represents a domain-wall skyrmion crystal from the bulk point of view. We first determine the phase diagram on the domain wall by numerically constructing domain-wall solutions. We then analytically reproduce the phase diagram in a domain-wall theory (a chiral double sine-Gordon model) that we construct within the moduli approximation by treating the Zeeman magnetic field perturbatively. While we find good agreements between the phase diagrams of the numerical and effective theory methods, the numerical solution exhibits a decomposition of the topological charge into a bimeron which cannot be captured by the effective theory.
title Skyrmion crystal phase on a magnetic domain wall in chiral magnets
topic Mesoscale and Nanoscale Physics
High Energy Physics - Theory
url https://arxiv.org/abs/2409.07943