# Hidden ferromagnetism of centrosymmetric antiferromagnets

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## Id

730f158c-bb7d-48b9-98ca-d6d6887be849

## Local identifier



## Visibility

open_to_public

## State

published

## Created at

2026-09-17T01:22:50.243874Z

## Updated at

2026-09-17T01:26:39.702066Z

## Published at

2026-09-17T05:30:17.542561Z

## Doi



## First published url

https://doi.org/10.1103/myy9-7pm5

## Date published

2026-09-15

## Recorded date published

2026-9

## Resource type

journal_article

## Manuscript type

vor

## Collection



## Title

- title: Hidden ferromagnetism of centrosymmetric antiferromagnets
  title_type: original
  lang: en

## Description

- description: The time-reversal symmetry (T) breaking is a signature of ferromagnetism,
    giving rise to such phenomena as the anomalous Hall effect (AHE) and orbital magnetism
    (OM). Nevertheless, T can be also broken in certain classes of antiferromagnets,
    such as weak ferromagnets or altermagnets, which remain invariant under the spatial
    inversion. In the light of this similarity with the ferromagnetism, it is tempting
    to ask whether such anomalous antiferromagnetic (AFM) state can be presented as
    a simplest ferromagnetic one, i.e. within a minimal unit cell containing only
    one magnetic cite. We show that such presentation is possible due to the special
    form of the spin-orbit (SO) interaction in an antiferroelectrically distorted
    lattice hosting this AFM state. The inversion symmetry, combined with the lattice
    translations, imposes a severe constraint on the form of the SO interaction, which
    becomes invariant under the symmetry operation {S|t}, combining the 180-degree
    rotation of spins (S) with the lattice shift t, connecting antiferromagnetically
    coupled sublattices. This is the fundamental symmetry property of centrosymmetric
    antiferromagnets, which justifies the use of the generalized Bloch theorem and
    transformation to the local coordinate frame with one magnetic cite per cell.
    It naturally explains the emergence of AHE and OM, and provides transparent expressions
    for these properties in terms of the electron hoppings and SO interaction operating
    between nearest neighbors as well as the orthorhombic strain of the next-nearest-neighbor
    hoppings. The idea is illustrated on a number of examples, using realistic models
    derived from first-principles calculations. These examples include two-dimensional
    square lattice, monoclinic VF4 and CuF2, and RuO2-type materials with the tetragonal
    symmetry.
  description_type: abstract
  lang: und

## Creator

- name: I. V. Solovyev
  role: author
  orcid: https://orcid.org/0000-0002-2010-9877

## Contact agent



## Publisher

organization: American Physical Society (APS)

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## Keyword

- subject: anomalous Hall effect
  schema: not_defined
- subject: antiferromagnetism
  schema: not_defined
- subject: altermagnetism
  schema: not_defined
- subject: spin-orbit interaction
  schema: not_defined
- subject: symmetry
  schema: not_defined

## Rights

- identifier: https://creativecommons.org/licenses/by/4.0/

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## Embargo



## Journal

- title: Physical Review B
  issn: '24699950'
  volume: '114'
  issue: '15'
  article_number: '154413'

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## Funding

- funder_name: Ministry of Education, Culture, Sports, Science and Technology

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