# Basic aspects of ferroelectricity induced by noncollinear alignment of spins

https://mdr.nims.go.jp/datasets/5569863e-0648-4748-9d5e-c2de8cade0e3

## File

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## Id

5569863e-0648-4748-9d5e-c2de8cade0e3

## Local identifier



## Visibility

open_to_public

## State

published

## Created at

2025-04-14T01:02:26.595760Z

## Updated at

2025-04-16T07:30:25.686953Z

## Published at

2025-04-16T05:29:35.059455Z

## Doi



## First published url

https://doi.org/10.3390/condmat10020021

## Date published

2025-04-11

## Recorded date published



## Resource type

journal_article

## Manuscript type

vor

## Collection



## Title

- title: Basic aspects of ferroelectricity induced by noncollinear alignment of spins
  title_type: original
  lang: en

## Description

- description: 'Basic principles of ferroelectric activity induced by the noncollinear
    spins are reviewed. There is a fundamental reason why the inversion symmetry can
    be broken by magnetic order. Such situation occurs when the magnetic order simultaneously
    involves ferromagnetic (F) and antiferromagnetic (A) patterns, transforming under
    the spatial inversion I and time reversal T as IF=F and ITA=A, respectively. The
    incompatibility of these two conditions breaks the inversion symmetry, imposing
    a constraint on possible dependencies of polarization on directions of spins,
    which can include only antisymmetric coupling and single-ion anisotropy. The antisymmetric
    coupling (P12) can be evaluated in the framework of superexchange theory, resulting
    in P12~r12, where r12 is the part of the position operator induced by the relativistic
    spin-orbit coupling. r12 remains invariant under the spatial inversion, explaining
    why noncollinear spins can induce the electric polarization even in the centrosymmetric
    crystals. The properties of r12 are rationalized from the viewpoint of symmetry
    of the Kramers states. It is shown that the commonly used Katsura-Nagaosa-Balatsky
    rule is justified only for relatively high symmetry. The single-ion anisotropy
    vanishes for the spin 1/2 or if magnetic ions are located in the inversion centers,
    thus severely restricting the applicability of this microscopic mechanism. The
    properties of multiferroic materials are reconsidered from the viewpoint of these
    principles. '
  description_type: abstract
  lang: eng

## Creator

- name: I. V. Solovyev
  role: author
  orcid: https://orcid.org/0000-0002-2010-9877
  organization: National Institute for Materials Science
  department: Research Center for Materials Nanoarchitectonics (MANA)/Quantum Materials
    Field/Quantum Materials Modeling Group

## Contact agent



## Publisher

organization: MDPI

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## Keyword

- subject: multiferroics
  schema: not_defined
- subject: Mott insulators
  schema: not_defined
- subject: noncollinear magnets
  schema: not_defined
- subject: electric polarization
  schema: not_defined
- subject: magnetoelectric effect
  schema: not_defined
- subject: spin-orbit coupling
  schema: not_defined
- subject: Wannier function methods
  schema: not_defined

## Rights

- description: "This article is an open access article distributed under the terms
    and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/\r\nlicenses/by/4.0/)."
  identifier: https://creativecommons.org/licenses/by/4.0/

## Other identifier(s)



## Data origin

- data_origin_type: other

## Embargo



## Journal

- title: CONDENSED MATTER
  issn: '24103896'
  volume: '10'
  issue: '2'
  start_page: 1
  end_page: 29

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## Fileset

- id: d529207d-0814-4e8d-b0b2-18fefbe14bf5
  filename: condensedmatter-10-00021.pdf
  content_type: application/pdf
  size: 10579918
  md5: c4e41c4e0192de8d4634c98788d12131

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filename: condensedmatter-10-00021.pdf