Field-induced transitions from incommensurate to commensurate phases in helical antiferromagnets

Fuente: arXiv
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Autori principali: Bolokhova, P. T., Syromyatnikov, A. V.
Natura: Preprint
Pubblicazione: 2026
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author Bolokhova, P. T.
Syromyatnikov, A. V.
author_facet Bolokhova, P. T.
Syromyatnikov, A. V.
contents Heisenberg antiferromagnet with an easy-plane anisotropy is discussed in which a magnetic spiral is induced by Dzyaloshinskii-Moriya interaction and/or frustration of the exchange coupling. The distortion of the spiral by small in-plane magnetic field is described analytically. It is found that the field can gradually change the vector of the magnetic structure ${\bf k}_0$ and can produce transitions between phases with incommensurate and commensurate magnetic orderings when ${\bf k}_0$ is close to ${\bf g}/n$, where ${\bf g}$ is a reciprocal lattice vector and $n$ is integer. Analytical expressions for critical fields are derived for $n=2$, 3, and 4. Application of the theory to the triangular-lattice compound $\rm RbFe(MoO_4)_2$ is discussed alongside its potential applicability to other materials. As a by-product of the main consideration, model parameters are found which describe more accurately the full set of available experimental data suggested before for $\rm RbFe(MoO_4)_2$.
format Preprint
id arxiv_https___arxiv_org_abs_2601_22343
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Field-induced transitions from incommensurate to commensurate phases in helical antiferromagnets
Bolokhova, P. T.
Syromyatnikov, A. V.
Strongly Correlated Electrons
Heisenberg antiferromagnet with an easy-plane anisotropy is discussed in which a magnetic spiral is induced by Dzyaloshinskii-Moriya interaction and/or frustration of the exchange coupling. The distortion of the spiral by small in-plane magnetic field is described analytically. It is found that the field can gradually change the vector of the magnetic structure ${\bf k}_0$ and can produce transitions between phases with incommensurate and commensurate magnetic orderings when ${\bf k}_0$ is close to ${\bf g}/n$, where ${\bf g}$ is a reciprocal lattice vector and $n$ is integer. Analytical expressions for critical fields are derived for $n=2$, 3, and 4. Application of the theory to the triangular-lattice compound $\rm RbFe(MoO_4)_2$ is discussed alongside its potential applicability to other materials. As a by-product of the main consideration, model parameters are found which describe more accurately the full set of available experimental data suggested before for $\rm RbFe(MoO_4)_2$.
title Field-induced transitions from incommensurate to commensurate phases in helical antiferromagnets
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2601.22343