Manipulation by magnetic frustration in ferrotoroidal spin chains via curvature and torsion

Geometric effects in curvilinear nanomagnets can enable chiral, anisotropic, and even magnetoelectric responses. Here, we study the effects of magnetic frustration in curvilinear (quasi-)one-dimensional magnets represented by spin chains arranged along closed space curves of constant torsion. Consid...

Full description

Saved in:
Bibliographic Details
Main Authors: Oleksandr V. Pylypovskyi, Enrico Di Benedetto, Carmine Ortix, Denys Makarov
Format: Article
Language:English
Published: American Physical Society 2025-01-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.7.013088
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832590472559722496
author Oleksandr V. Pylypovskyi
Enrico Di Benedetto
Carmine Ortix
Denys Makarov
author_facet Oleksandr V. Pylypovskyi
Enrico Di Benedetto
Carmine Ortix
Denys Makarov
author_sort Oleksandr V. Pylypovskyi
collection DOAJ
description Geometric effects in curvilinear nanomagnets can enable chiral, anisotropic, and even magnetoelectric responses. Here, we study the effects of magnetic frustration in curvilinear (quasi-)one-dimensional magnets represented by spin chains arranged along closed space curves of constant torsion. Considering the cases of easy- and hard-axis anisotropy in ferro- and antiferromagnetic samples, we determine their ground states and analyze the related magnetoelectric multipoles. A constant torsion along the chain results in alternating regions of high and low curvature, facilitating the spin spiral state perturbed by the (anti)periodic boundary conditions on the magnetic order parameter. While easy-axis ferromagnetic chains develop a purely toroidal configuration with the magnetic toroidal moment oriented along the geometry symmetry axis, hard-axis antiferromagnetic chains support multiple magnetic toroidal domains. Our findings suggest that tailoring curvature and torsion of a spin chain enables a different physical mechanism for magnetic frustration, which can be observed in the inhomogeneity of the magnetic order parameter and in the local ferrotoroidal responses.
format Article
id doaj-art-69007c3d58604bca8608202692cc36de
institution Kabale University
issn 2643-1564
language English
publishDate 2025-01-01
publisher American Physical Society
record_format Article
series Physical Review Research
spelling doaj-art-69007c3d58604bca8608202692cc36de2025-01-23T15:03:15ZengAmerican Physical SocietyPhysical Review Research2643-15642025-01-017101308810.1103/PhysRevResearch.7.013088Manipulation by magnetic frustration in ferrotoroidal spin chains via curvature and torsionOleksandr V. PylypovskyiEnrico Di BenedettoCarmine OrtixDenys MakarovGeometric effects in curvilinear nanomagnets can enable chiral, anisotropic, and even magnetoelectric responses. Here, we study the effects of magnetic frustration in curvilinear (quasi-)one-dimensional magnets represented by spin chains arranged along closed space curves of constant torsion. Considering the cases of easy- and hard-axis anisotropy in ferro- and antiferromagnetic samples, we determine their ground states and analyze the related magnetoelectric multipoles. A constant torsion along the chain results in alternating regions of high and low curvature, facilitating the spin spiral state perturbed by the (anti)periodic boundary conditions on the magnetic order parameter. While easy-axis ferromagnetic chains develop a purely toroidal configuration with the magnetic toroidal moment oriented along the geometry symmetry axis, hard-axis antiferromagnetic chains support multiple magnetic toroidal domains. Our findings suggest that tailoring curvature and torsion of a spin chain enables a different physical mechanism for magnetic frustration, which can be observed in the inhomogeneity of the magnetic order parameter and in the local ferrotoroidal responses.http://doi.org/10.1103/PhysRevResearch.7.013088
spellingShingle Oleksandr V. Pylypovskyi
Enrico Di Benedetto
Carmine Ortix
Denys Makarov
Manipulation by magnetic frustration in ferrotoroidal spin chains via curvature and torsion
Physical Review Research
title Manipulation by magnetic frustration in ferrotoroidal spin chains via curvature and torsion
title_full Manipulation by magnetic frustration in ferrotoroidal spin chains via curvature and torsion
title_fullStr Manipulation by magnetic frustration in ferrotoroidal spin chains via curvature and torsion
title_full_unstemmed Manipulation by magnetic frustration in ferrotoroidal spin chains via curvature and torsion
title_short Manipulation by magnetic frustration in ferrotoroidal spin chains via curvature and torsion
title_sort manipulation by magnetic frustration in ferrotoroidal spin chains via curvature and torsion
url http://doi.org/10.1103/PhysRevResearch.7.013088
work_keys_str_mv AT oleksandrvpylypovskyi manipulationbymagneticfrustrationinferrotoroidalspinchainsviacurvatureandtorsion
AT enricodibenedetto manipulationbymagneticfrustrationinferrotoroidalspinchainsviacurvatureandtorsion
AT carmineortix manipulationbymagneticfrustrationinferrotoroidalspinchainsviacurvatureandtorsion
AT denysmakarov manipulationbymagneticfrustrationinferrotoroidalspinchainsviacurvatureandtorsion