CoChat
Sign Up
Cited by 2,204Multiferroics and related materialsMagnetic properties of thin filmsAdvanced Condensed Matter Physics

Spin Current and Magnetoelectric Effect in Noncollinear Magnets

Open access
Katsura, Hosho, Nagaosa, Naoto, Balatsky, Alexander V.·2005·Physical Review Letters
DOI 10.1103/physrevlett.95.057205
Open this paper in CoChat — free accountOpen PDF

Abstract

A new mechanism of the magnetoelectric effect based on the spin supercurrent is theoretically presented in terms of a microscopic electronic model for noncollinear magnets. The electric polarization ${\stackrel{\ensuremath{\rightarrow}}{P}}_{ij}$ produced between the two magnetic moments ${\stackrel{\ensuremath{\rightarrow}}{S}}_{i}$ and ${\stackrel{\ensuremath{\rightarrow}}{S}}_{j}$ is given by $\stackrel{\ensuremath{\rightarrow}}{P}\ensuremath{\propto}{\stackrel{\ensuremath{\rightarrow}}{e}}_{ij}\ifmmode\times\else\texttimes\fi{}({\stackrel{\ensuremath{\rightarrow}}{S}}_{i}\ifmmode\times\else\texttimes\fi{}{\stackrel{\ensuremath{\rightarrow}}{S}}_{j})$ with ${\stackrel{\ensuremath{\rightarrow}}{e}}_{ij}$ being the unit vector connecting the sites $i$ and $j$. Applications to the spiral spin structure and the gauge theoretical interpretation are discussed.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1103/physrevlett.95.057205

Cites

19 of 19 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • Noncollinear magnetic order in magnetic insulators can induce electric polarization along the axis of the spiral spin structure.

    “It is now established that noncollinear magnetic order in magnetic insulators can induce electric polarization along the axis of the spiral spin structure10.”

    From Terahertz electric-field-driven dynamical multiferroicity in SrTiO3 (2024) · cites this paper as [10]

    In “Applications to the spiral magnets” (p. 4), the paper defines the spiral axis as the x-axis but calculates zero polarization along x; only a y-component of uniform polarization can be nonzero. Its examples on p. 4 likewise place finite polarization along y, not along the spiral axis. (LLM, conf=0.90)

    Checked by a reasoning model — may be wrong.

    Experimental — accuracy not yet measured

  • Including full relativistic corrections owing to spin-orbit coupling, the Dzyaloshinskii-Moriya interaction leads to a polarization P of the form P ∝ eij × (Si × Sj), where eij is the unit vector between sites i and j.

    “By including full relativistic corrections owing to the spin–orbit coupling, the Dzyaloshinskii–Moriya interaction leads to a polarization P of the form P ∝ eij × (Si × Sj), where eij is the unit vector between sites i and j, as shown in ref. 10.”

    From Terahertz electric-field-driven dynamical multiferroicity in SrTiO3 (2024) · cites this paper as [10]

    The model description (p. 2) says the authors retain only two spin–orbit-coupled states for simplicity, rather than including full relativistic corrections. Figure 1 and the double-exchange discussion (p. 3) support the stated polarization geometry: the spin current is proportional to the cross product of the two spin directions, and polarization is proportional to the bond-direction vector crossed with that current. The paper discusses the Dzyaloshinskii–Moriya interaction as a gauge field for spin current, but does not establish the claim’s specific ‘full relativistic corrections’ account. (LLM, conf=0.86)

    Experimental — accuracy not yet measured

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

Flagged first, then by citations

Research works printed but not linked: 2

  1. [13]T. Nagamiya,in Solid State Physics , edited by F. Seitz, D. Turnbull, and H. Ehrenreich (Academic Press, New York and London, 1967) Vol. 20, p.305
  2. [21]P. W. Anderson, in Solid State Physics , edited by F. Seitz and D.Turnbull (Academic Press, New York, 1963)Vol.14 , p.99

Cited by

Sorted by citations

Related

Authors
Katsura, H., Nagaosa, N., & Balatsky, A. V.
Affiliations
  • The University of Tokyo (JP)
  • Japan Science and Technology Agency (JP)
  • Los Alamos National Laboratory (US)
ORCID
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
2005-07-28
Volume
95
Issue
5
Pages
057205-057205
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
DOI
10.1103/physrevlett.95.057205
OpenAlex
W1963551001
Cited by
2,204
References
19
Citations by year
2026: 71 · 2025: 108 · 2024: 98 · 2023: 98 · 2022: 80 · 2021: 122 · 2020: 98 · 2019: 98 · 2018: 103 · 2017: 118 · 2016: 126 · 2015: 134 · 2014: 135 · 2013: 117 · 2012: 119
FWCI
39.73
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review Letters (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
  • Bulletin of the American Physical Society
Topics
  • Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Multiferroics and related materials
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Magnetic properties of thin films
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
Keywords
magnetoelectric effect, spin supercurrent, spin current, electric polarization, spiral spin structure, gauge theory, spin-orbit coupling

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review