Domain walls with alternating magnetic order in a model with dipolar coupling
Abstract
A model for a one-dimensional chain of elongated nano-scale magnetic islands with dipole interactions is analyzed here for the properties of its static domain walls with site-by-site alternating order. The anisotropic magnetic islands on a nonmagnetic substrate have their longer axes oriented transverse (y-direction) to the chain direction (x-direction), in a transverse applied magnetic field. The islands' magnetic dipoles μ⃗n are represented as macrospins of fixed length μ. The nearest-neighbor (NN) dipole interactions drive transverse alternating order, allowing for doubly-degenerate, uniform, static, y-alternating states, where the dipoles alternately point transverse to the chain direction, as in μ⃗n = ±(−1)n μŷ. Assuming only NN interactions, the domain walls connecting these two alternating states are found with numerical relaxation simulations and analyzed in a two-sublattice continuum theory. As the uniaxial anisotropy constant K1 descends from larger values until it closely approaches the NN dipolar coupling constant D, the domain wall width grows indefinitely, and the large-x continuum solutions closely approach the lattice numerical solutions. The applied field produces a very slight canting of the dipoles towards the field, maximum in the center of the domain wall. The dipoles on the two sublattices are found to rotate in {\em opposite senses} as one scans along the lattice, resulting in a large longitudinal magnetic moment of the domain wall. A much smaller transverse magnetic moment has a topological contribution that depends on whether the chain length is odd or even.
Versions
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BibTeX
@misc{wysin2026domain,
title = {{Domain walls with alternating magnetic order in a model with dipolar coupling}},
author = {G. M. Wysin},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28831},
eprint = {2608.28831},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28831},
}
RIS
TY - UNPB
TI - Domain walls with alternating magnetic order in a model with dipolar coupling
AU - G. M. Wysin
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.28831
UR - https://arxiv.org/abs/2608.28831
AB - A model for a one-dimensional chain of elongated nano-scale magnetic islands with dipole interactions is analyzed here for the properties of its static domain walls with site-by-site alternating order. The anisotropic magnetic islands on a nonmagnetic substrate have their longer axes oriented transverse (y-direction) to the chain direction (x-direction), in a transverse applied magnetic field. The islands' magnetic dipoles μ⃗_n are represented as macrospins of fixed length μ. The nearest-neighbor (NN) dipole interactions drive transverse alternating order, allowing for doubly-degenerate, uniform, static, y-alternating states, where the dipoles alternately point transverse to the chain direction, as in μ⃗_n = ±(−1)^n μŷ. Assuming only NN interactions, the domain walls connecting these two alternating states are found with numerical relaxation simulations and analyzed in a two-sublattice continuum theory. As the uniaxial anisotropy constant K_1 descends from larger values until it closely approaches the NN dipolar coupling constant D, the domain wall width grows indefinitely, and the large-x continuum solutions closely approach the lattice numerical solutions. The applied field produces a very slight canting of the dipoles towards the field, maximum in the center of the domain wall. The dipoles on the two sublattices are found to rotate in {\em opposite senses} as one scans along the lattice, resulting in a large longitudinal magnetic moment of the domain wall. A much smaller transverse magnetic moment has a topological contribution that depends on whether the chain length is odd or even.
ER -