The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
The rare two-dimensional materials with Dirac cones
Open accessAbstract
Inspired by the great development of graphene, more and more research has been conducted to seek new two-dimensional (2D) materials with Dirac cones. Although 2D Dirac materials possess many novel properties and physics, they are rare compared with the numerous 2D materials. To provide explanation for the rarity of 2D Dirac materials as well as clues in searching for new Dirac systems, here we review the recent theoretical aspects of various 2D Dirac materials, including graphene, silicene, germanene, graphynes, several boron and carbon sheets, transition-metal oxides (VO2)n/(TiO2)m and (CrO2)n/(TiO2)m, organic and organometallic crystals, so-MoS2, and artificial lattices (electron gases and ultracold atoms). Their structural and electronic properties are summarized. We also investigate how Dirac points emerge, move, and merge in these systems. The von Neumann–Wigner theorem is used to explain the scarcity of Dirac cones in 2D systems, which leads to rigorous requirements on the symmetry, parameters, Fermi level, and band overlap of materials to achieve Dirac cones. Connections between existence of Dirac cones and the structural features are also discussed.
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
The electronic properties of graphene
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.109 · Cited by 24,803
Two-dimensional gas of massless Dirac fermions in graphene
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Katsnelson, M. I., Grigorieva, I. V., Dubonos, S. V., & Firsov, A. A. (2005) · Nature · doi:10.1038/nature04233 · Cited by 21,611
Experimental observation of the quantum Hall effect and Berry's phase in graphene
Zhang, Y., Tan, Y.-W., Stormer, H. L., & Kim, P. (2005) · Nature · doi:10.1038/nature04235 · Cited by 13,435
Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
Hofstadter, D. R. (1976) · Physical Review B · doi:10.1103/physrevb.14.2239 · Cited by 3,495
Energy gaps and a zero-field quantum Hall effect in graphene by strain engineering
Guinea, F., Katsnelson, M. I., & Geim, A. K. (2010) · Nature Physics · doi:10.1038/nphys1420 · Cited by 1,913
Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
Tarruell, L., Greif, D., Uehlinger, T., Jotzu, G., & Esslinger, T. (2012) · Nature · doi:10.1038/nature10871 · Cited by 972
Designer Dirac fermions and topological phases in molecular graphene
Gomes, K. K., Mar, W., Ko, W., Guinea, F., & Manoharan, H. C. (2012) · Nature · doi:10.1038/nature10941 · Cited by 741
Conical Diffraction and Gap Solitons in Honeycomb Photonic Lattices
Peleg, O., Bartal, G., Freedman, B., Manela, O., Segev, M., & Christodoulides, D. N. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.103901 · Cited by 378
Massless Dirac-Weyl fermions in aT3optical lattice
Bercioux, D., Urban, D. F., Grabert, H., & Häusler, W. (2009) · Physical Review A · doi:10.1103/physreva.80.063603 · Cited by 212
Topological Transition of Dirac Points in a Microwave Experiment
Bellec, M., Kuhl, U., Montambaux, G., & Mortessagne, F. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.033902 · Cited by 189
Cited by
A concise review of the Raman spectra of carbon allotropes
Thapliyal, V., Alabdulkarim, M. E., Whelan, D. R., Mainali, B., & Maxwell, J. L. (2022) · Diamond and Related Materials · doi:10.1016/j.diamond.2022.109180 · Cited by 298
Honeycomb Boron Allotropes with Dirac Cones: A True Analogue to Graphene
Yi, W.-C., Liu, W., Botana, J., Zhao, L., Liu, Z., Liu, J.-Y., & Miao, M.-S. (2017) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.7b00891 · Cited by 70
Self-citation
Metadata
- Authors
- Wang, J., Deng, S., Liu, Z., & Liu, Z.
- Venue
- National Science Review
- Publisher
- Oxford University Press (OUP)
- Published
- 2015-01-31
- Volume
- 2
- Issue
- 1
- Pages
- 22-39
- ISSN
- 2053-714X (ISSN-L)
- 2095-5138
- OpenAlex
- W2118253891
- Cited by
- 447
- References
- 11
- FWCI
- 23.44
- Type
- journal article
- Language
- en
- Open access
- hybrid
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: The rare two-dimensional materials with Dirac cones. https://app.cochat.ai/papers/10.1093/nsr/nwu080
- The paper
- Wang, J., Deng, S., Liu, Z., & Liu, Z. (2015). The rare two-dimensional materials with Dirac cones. National Science Review. https://doi.org/10.1093/nsr/nwu080
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.
