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Traveling skyrmions in chiral antiferromagnets

by Stavros Komineas, Nikos Papanicolaou

Submission summary

As Contributors: Stavros Komineas
Arxiv Link: https://arxiv.org/abs/2001.04320v3
Date accepted: 2020-05-18
Date submitted: 2020-05-12
Submitted by: Komineas, Stavros
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Condensed Matter Physics - Theory
Approaches: Theoretical, Computational

Abstract

Skyrmions in antiferromagnetic (AFM) materials with the Dzyaloshinskii-Moriya (DM) interaction are expected to exist for essentially the same reasons as in DM ferromagnets (FM). It is shown that skyrmions in antiferromagnets with the DM interaction can be traveling as solitary waves with velocities up to a maximum value that depends on the DM parameter. Their configuration is found numerically. The energy and the linear momentum of an AFM skyrmion lead to a proper definition of its mass. We give the details of the energy-momentum dispersion of traveling skyrmions and explore their particle-like character based on exact relations. The skyrmion number, known to be linked to the dynamics of topological solitons in FM, is, here, unrelated to the dynamical behavior. As a result, the solitonic behavior of skyrmions in AFM is in stark contrast to the dynamical behavior of their FM counterparts

Current status:
Publication decision taken: accept

Editorial decision: For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)



Author comments upon resubmission

In this resubmission, we respond to the last remark of a Referee and we have corrected typos.

List of changes

Introduction, 2nd paragraph.
The sentence "The type of dynamics of magnetic solitons supported by the sigma-model allows for traveling solitons and it is thus very different than the dynamics within the Landau-Lifshitz equation."
was substituted for
"The type of dynamics of magnetic solitons supported by the sigma-model allows for traveling solitons and it is thus very different than the dynamics in ferromagnets."

After Eq. (15), we added the following sentence.
Dirichlet boundary conditions are applied with n=(0,0,1) at the lattice end points.

In Eq. (41)/(A7) an extra "s" was erased. It now reads D = epsilon J lambda.
Also, in the unnumbered eqn before Eq. (41)/(A7), a corresponding "s" in the factor of the DM term was a typo and it was erased.

Refs. [26,27] were updated.

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