Generalized Theory of Domain-Wall Width in Multisublattice Heisenberg Magnets

Lendínez, José M. and Yanguas, Marta and Griepe, Theodor and Saur, Michael and Otxoa, Rubén M. and Rózsa, Levente and Atxitia, Unai (2026) Generalized Theory of Domain-Wall Width in Multisublattice Heisenberg Magnets. PHYSICAL REVIEW LETTERS, 137 (11). ISSN 0031-9007

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Abstract

We propose a universal expression for the domain-wall width in generic multi-sublattice Heisenberg magnets, applicable to ferro-, antiferro-, and ferrimagnetic orders. The result follows from an exact connection between the domain-wall profile and the long-wavelength spin-wave dispersion, yielding a unified framework for describing magnetic textures across distinct ordering types. The predictions show excellent quantitative agreement with large-scale atomistic spin dynamics simulations over a broad range of exchange and anisotropy values and spin multi-sublattice structures, including three-dimensional rock-salt-type magnets and two-dimensional honeycomb and kagome ferromagnets. Moreover, we establish a general microscopic foundation for the temperature dependence of the domain-wall width. Our approach offers a powerful tool for understanding domain-wall profiles in complex spin systems.

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