The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Existence of bulk chiral fermions and crystal symmetry
Open accessAbstract
We consider the existence of bulk chiral fermions around points of symmetry in the Brillouin zone of nonmagnetic three-dimensional (3D) crystals with negligible spin-orbit interactions. We use group theory to show that this is possible, but only for a reduced number of space groups and points of symmetry that we tabulate. Moreover, we show that for a handful of space groups the existence of bulk chiral fermions is not only possible but unavoidable, irrespective of the concrete crystal structure. Thus our tables can be used to look for bulk chiral fermions in a specific class of systems, namely, that of nonmagnetic $3\text{D}$ crystals with sufficiently weak spin-orbit coupling. We also discuss the effects of spin-orbit interactions and possible extensions of our approach to Weyl semimetals, crystals with magnetic order, and systems with Dirac points with pseudospin 1 and $3/2$. A simple tight-binding model is used to illustrate some of the issues.
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
Wan, X., Turner, A. M., Vishwanath, A., & Savrasov, S. Y. (2011) · Physical Review B · doi:10.1103/physrevb.83.205101 · Cited by 4,718
The Universe in a Helium Droplet
Volovik, G. E. (2009) · doi:10.1093/acprof:oso/9780199564842.001.0001 · Cited by 2,632
Slonczewski, J. C., & Weiss, P. R. (1958) · Physical Review · doi:10.1103/physrev.109.272 · Cited by 1,647
Absence of neutrinos on a lattice
Nielsen, H. B., & Ninomiya, M. (1981) · Nuclear Physics B · doi:10.1016/0550-3213(81)90524-1 · Cited by 964
Charge Transport in Weyl Semimetals
Hosur, P., Parameswaran, S. A., & Vishwanath, A. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.046602 · Cited by 466
Cited by
Weyl and Dirac semimetals in three-dimensional solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.015001 · Cited by 4,528
“…such point degeneracies have been studied (Michel and Zak, 1999) and identified for specific crystal structures both with and without spin-orbit coupling in two (Damljanovic and Gajic, 2016; Young and Kane, 2015) and in three dimensions (Mañes, 2012; Steinberg et al., 2014; Young et al., 2012).”
BackgroundThree-dimensional Dirac semimetal and quantum transport in Cd3As2
Wang, Z., Weng, H., Wu, Q., Dai, X., & Fang, Z. (2013) · Physical Review B · doi:10.1103/physrevb.88.125427 · Cited by 1,649
Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
Bradlyn, B., Cano, J., Wang, Z., Vergniory, M. G., Felser, C., Cava, R. J., & Bernevig, B. A. (2016) · Science · doi:10.1126/science.aaf5037 · Cited by 1,252
Classification of stable three-dimensional Dirac semimetals with nontrivial topology
Yang, B.-J., & Nagaosa, N. (2014) · Nature Communications · doi:10.1038/ncomms5898 · Cited by 864
Vafek, O., & Vishwanath, A. (2014) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031113-133841 · Cited by 614
Metadata
- Authors
- Mañes, J. L.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2012-04-10
- Volume
- 85
- Issue
- 15
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2062063350
- Cited by
- 197
- References
- 5
- FWCI
- 4.49
- 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: Existence of bulk chiral fermions and crystal symmetry. https://app.cochat.ai/papers/10.1103/physrevb.85.155118
- The paper
- Mañes, J. L. (2012). Existence of bulk chiral fermions and crystal symmetry. Physical Review B. https://doi.org/10.1103/physrevb.85.155118
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.
