Field-induced incommensurate--commensurate transitions in anisotropic magnets
Abstract
We study field-induced incommensurate--commensurate transitions (ICTs) in classical spin chains with Dzyaloshinskii-Moriya interaction (DMI) D, strong easy-plane anisotropy, and weak easy-axis anisotropy A within the easy plane. This model describes systems with ferromagnetic layers coupled by exchange interaction with DMI. The magnetic field bf H is applied in the easy plane at an arbitrary angle δ to the easy axis stabilizing a soliton lattice in the ground state. We consider ferromagnetic and antiferromagnetic in-chain exchange interactions within the continuum limit and show that the easy-axis anisotropy leads to qualitatively different effects in these two cases: the ferromagnetic chain is described by a double-sine-Gordon-type equation with phase-shifted harmonics, whereas the antiferromagnetic chain reduces to a sine-Gordon equation. For the latter case, phase boundaries between incommensurate and commensurate states are found analytically in $(H,A,D,δ)$ space and confirmed by numerical calculations for certain D and δ values. Close to all ICTs, results of the continuum consideration become invalid due to a stochastic destruction of near-separatrix solutions which either make an ICT a first-order transition or stabilize states with spatially irregular soliton and antisoliton arrangements.
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BibTeX
@misc{bolokhova2026fieldinduced,
title = {{Field-induced incommensurate--commensurate transitions in anisotropic magnets}},
author = {P. T. Bolokhova and A. V. Syromyatnikov},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23124},
eprint = {2610.23124},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23124},
}
RIS
TY - UNPB
TI - Field-induced incommensurate--commensurate transitions in anisotropic magnets
AU - P. T. Bolokhova
AU - A. V. Syromyatnikov
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23124
UR - https://arxiv.org/abs/2610.23124
AB - We study field-induced incommensurate--commensurate transitions (ICTs) in classical spin chains with Dzyaloshinskii-Moriya interaction (DMI) D, strong easy-plane anisotropy, and weak easy-axis anisotropy A within the easy plane. This model describes systems with ferromagnetic layers coupled by exchange interaction with DMI. The magnetic field bf H is applied in the easy plane at an arbitrary angle δ to the easy axis stabilizing a soliton lattice in the ground state. We consider ferromagnetic and antiferromagnetic in-chain exchange interactions within the continuum limit and show that the easy-axis anisotropy leads to qualitatively different effects in these two cases: the ferromagnetic chain is described by a double-sine-Gordon-type equation with phase-shifted harmonics, whereas the antiferromagnetic chain reduces to a sine-Gordon equation. For the latter case, phase boundaries between incommensurate and commensurate states are found analytically in $(H,A,D,δ)$ space and confirmed by numerical calculations for certain D and δ values. Close to all ICTs, results of the continuum consideration become invalid due to a stochastic destruction of near-separatrix solutions which either make an ICT a first-order transition or stabilize states with spatially irregular soliton and antisoliton arrangements.
ER -