Field-tunable toroidal moment in a chiral-lattice magnet
Lei Ding, Xianghan Xu, Harald O. Jeschke, Xiaojian Bai, Erxi Feng,, Admasu Solomon Alemayehu, Jaewook Kim, Feiting Huang, Qiang Zhang, Xiaxin, Ding, Neil Harrison, Vivien Zapf, Daniel Khomskii, Igor I. Mazin, Sang-Wook, Cheong, Huibo Cao

TL;DR
This paper reports the discovery and control of a vortex-like toroidal magnetic order in a chiral magnet, with transitions driven by magnetic fields, advancing potential spintronics applications.
Contribution
It introduces a ferritoroidal state in BaCoSiO4 and explains its formation through a first-principles Hamiltonian considering frustration and Dzyaloshinskii-Moriya interactions.
Findings
Observation of multi-stair toroidal transitions under magnetic field
Identification of a ferritoroidal vortex-like spin configuration
Theoretical explanation via microscopic Hamiltonian
Abstract
A toroidal dipole moment appears independent of the electric and magnetic dipole moment in the multipole expansion of electrodynamics. It arises naturally from vortex-like arrangements of spins. Observing and controlling spontaneous long-range orders of toroidal moments are highly promising for spintronics but remain challenging. Here we demonstrate that a vortex-like spin configuration with a staggered arrangement of toroidal moments, a ferritoroidal state, is realized in a chiral triangular-lattice magnet BaCoSiO4. Upon applying a magnetic field, we observe multi-stair toroidal transitions correlating directly with metamagnetic transitions. We establish a first-principles microscopic Hamiltonian that explains both the formation of toroidal states and the metamagnetic toroidal transition as a combined effect of the magnetic frustration and the Dzyaloshinskii-Moriya interactions allowed…
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