Generation of magnetic chiral solitons, skyrmions, and hedgehogs with electric fields

Fuente: arXiv
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Autores principales: Nakagawara, Teruya, Kanega, Minoru, Furuya, Shunsuke C., Sato, Masahiro
Formato: Preprint
Publicado: 2025
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author Nakagawara, Teruya
Kanega, Minoru
Furuya, Shunsuke C.
Sato, Masahiro
author_facet Nakagawara, Teruya
Kanega, Minoru
Furuya, Shunsuke C.
Sato, Masahiro
contents Electric-field controls of Dzyaloshinskii-Moriya interactions (DMIs) have recently been discussed from the microscopic viewpoint. Since the DMI plays a critical role in generating topological spin textures (TSTs) such as the chiral soliton, the magnetic skyrmion, and the magnetic hedgehog, electric-field controls of these TSTs have become an important issue. This paper shows that such electric-field-induced DMI indeed creates and annihilates TSTs by numerically solving the Landau-Lifshitz-Gilbert (LLG) equation for many-body spin systems at finite temperatures. We show that when a strong electric field is applied in a proper way to one- or two-dimensional ferromagnets, the Hamiltonians are changed into the well-known spin models for the chiral soliton or the skyrmion lattice, and the TST states emerge. We utilize a machine-learning method to count the number of generated TSTs. In the three-dimensional (3D) case, we demonstrate the electric-field induction of a magnetic hedgehog structure as follows: Applying a strong enough electric field along a proper direction to a skyrmion-string state (a triple-$\boldsymbol{q}$ state) at low but finite temperatures, we find that the field-induced DMI can drive a quadruple-$\boldsymbol{q}$ state with hedgehog-antihedgehog pairs. This result indicates that we have succeeded in constructing a simple 3D short-range interacting spin model hosting a magnetic hedgehog structure.
format Preprint
id arxiv_https___arxiv_org_abs_2505_07210
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Generation of magnetic chiral solitons, skyrmions, and hedgehogs with electric fields
Nakagawara, Teruya
Kanega, Minoru
Furuya, Shunsuke C.
Sato, Masahiro
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
Statistical Mechanics
Electric-field controls of Dzyaloshinskii-Moriya interactions (DMIs) have recently been discussed from the microscopic viewpoint. Since the DMI plays a critical role in generating topological spin textures (TSTs) such as the chiral soliton, the magnetic skyrmion, and the magnetic hedgehog, electric-field controls of these TSTs have become an important issue. This paper shows that such electric-field-induced DMI indeed creates and annihilates TSTs by numerically solving the Landau-Lifshitz-Gilbert (LLG) equation for many-body spin systems at finite temperatures. We show that when a strong electric field is applied in a proper way to one- or two-dimensional ferromagnets, the Hamiltonians are changed into the well-known spin models for the chiral soliton or the skyrmion lattice, and the TST states emerge. We utilize a machine-learning method to count the number of generated TSTs. In the three-dimensional (3D) case, we demonstrate the electric-field induction of a magnetic hedgehog structure as follows: Applying a strong enough electric field along a proper direction to a skyrmion-string state (a triple-$\boldsymbol{q}$ state) at low but finite temperatures, we find that the field-induced DMI can drive a quadruple-$\boldsymbol{q}$ state with hedgehog-antihedgehog pairs. This result indicates that we have succeeded in constructing a simple 3D short-range interacting spin model hosting a magnetic hedgehog structure.
title Generation of magnetic chiral solitons, skyrmions, and hedgehogs with electric fields
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
Statistical Mechanics
url https://arxiv.org/abs/2505.07210