The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Cluster multipole theory for anomalous Hall effect in antiferromagnets
Open accessAbstract
Here, the authors discover a missing link between antiferromagnetism and the Hall effect by introducing a theoretical framework based on a novel concept, cluster multipole (CMP), to characterize macroscopic magnetization of antiferromagnets. Whereas the anomalous Hall effect (AHE) is usually observed in ferromagnets and explained as an outcome of the macroscopic dipole magnetization, CMP theory reveals that a certain type of antiferromagnetic (AFM) structure induces the AHE despite no net magnetization. The new order parameters enable us to characterize the AHE in the AFM states and explain the AHE in the AFM states of Mn${}_{3}$Ir and Mn${}_{3}Z$ ($Z$ = Sn, Ge), for which the large AHE has recently been studied. Furthermore, the theory can deal with the AHE in antiferromagnets on an equal footing with that in simple ferromagnets. The authors compare the AHE in antiferromagnetic Mn${}_{3}Z$ Mn${}_{3}Z$ and ferromagnetic bcc Fe based on first-principles calculations and find out their similarity with respect to the CMP moments. The theory brings on a significant step forward in our current understanding of anomalous current in condensed matter, and the obtained knowledge could be crucial in the future for the design of antiferromagnetic devices, e.g., with possible spintronics-related applications.
Overview
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.
Integrity signals
Registry
Cites
Statistics
Verification
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.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973
Nagaosa, N., Sinova, J., Onoda, S., MacDonald, A. H., & Ong, N. P. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1539 · Cited by 4,798
Karplus, R., & Luttinger, J. M. (1954) · Physical Review · doi:10.1103/physrev.95.1154 · Cited by 1,737
Large anomalous Hall effect in a non-collinear antiferromagnet at room temperature
Nakatsuji, S., Kiyohara, N., & Higo, T. (2015) · Nature · doi:10.1038/nature15723 · Cited by 1,721
The Anomalous Hall Effect and Magnetic Monopoles in Momentum Space
Fang, Z., Nagaosa, N., Takahashi, K. S., Asamitsu, A., Mathieu, R., Ogasawara, T., Yamada, H., Kawasaki, M., Tokura, Y., & Terakura, K. (2003) · Science · doi:10.1126/science.1089408 · Cited by 1,043
Time-reversal symmetry breaking and spontaneous Hall effect without magnetic dipole order
Machida, Y., Nakatsuji, S., Onoda, S., Tayama, T., & Sakakibara, T. (2010) · Nature · doi:10.1038/nature08680 · Cited by 438
Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn
Yang, H., Sun, Y., Zhang, Y., Shi, W.-J., Parkin, S. S. P., & Yan, B. (2017) · New Journal of Physics · doi:10.1088/1367-2630/aa5487 · Cited by 400
Giant Anomalous Hall Effect in the Chiral Antiferromagnet Mn 3 Ge
Kiyohara, N., Tomita, T., & Nakatsuji, S. (2016) · Physical Review Applied · doi:10.1103/physrevapplied.5.064009 · Cited by 385
Cited by
Šmejkal, L., Sinova, J., & Jungwirth, T. (2022) · Physical Review X · doi:10.1103/physrevx.12.031042 · Cited by 1,076
Crystal time-reversal symmetry breaking and spontaneous Hall effect in collinear antiferromagnets
Šmejkal, L., González-Hernández, R., Jungwirth, T., & Sinova, J. (2020) · Science Advances · doi:10.1126/sciadv.aaz8809 · Cited by 914
Large anomalous Nernst effect at room temperature in a chiral antiferromagnet
Ikhlas, M., Tomita, T., Koretsune, T., Suzuki, M.-T., Nishio-Hamane, D., Arita, R., Otani, Y., & Nakatsuji, S. (2017) · Nature Physics · doi:10.1038/nphys4181 · Cited by 746
Self-citationEvidence for magnetic Weyl fermions in a correlated metal
Kuroda, K., Tomita, T., Suzuki, M.-T., Bareille, C., Nugroho, A. A., Goswami, P., Ochi, M., Ikhlas, M., Nakayama, M., Akebi, S., et al. (2017) · Nature Materials · doi:10.1038/nmat4987 · Cited by 633
Self-citationHigo, T., Man, H., Gopman, D. B., Wu, L., Koretsune, T., van ’t Erve, O. M. J., Kabanov, Y. P., Rees, D., Li, Y., Suzuki, M.-T., et al. (2018) · Nature Photonics · doi:10.1038/s41566-017-0086-z · Cited by 434
Self-citation
Metadata
- Authors
- Suzuki, M.-T., Koretsune, T., Ochi, M., & Arita, R.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2017-03-07
- Volume
- 95
- Issue
- 9
- ISSN
- 2469-9950 (ISSN-L)
- 2469-9969
- OpenAlex
- W2554925106
- Cited by
- 351
- References
- 8
- FWCI
- 12.14
- Type
- journal article
- Language
- en
- Open access
- green
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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Cluster multipole theory for anomalous Hall effect in antiferromagnets. https://app.cochat.ai/papers/10.1103/physrevb.95.094406
- The paper
- Suzuki, M.-T., Koretsune, T., Ochi, M., & Arita, R. (2017). Cluster multipole theory for anomalous Hall effect in antiferromagnets. Physical Review B. https://doi.org/10.1103/physrevb.95.094406
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
