The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Spin-orbit gap of graphene: First-principles calculations
Open accessAbstract
Even though graphene is a low-energy system consisting of a two-dimensional honeycomb lattice of carbon atoms, its quasiparticle excitations are fully described by the $(2+1)$-dimensional relativistic Dirac equation. In this paper we show that, while the spin-orbit interaction in graphene is of the order of $4\phantom{\rule{0.3em}{0ex}}\mathrm{meV}$, it opens up a gap of the order of ${10}^{\ensuremath{-}3}\phantom{\rule{0.3em}{0ex}}\mathrm{meV}$ at the Dirac points. We present a first-principles calculation of the spin-orbit gap, and explain the behavior in terms of a simple tight-binding model. Our result also shows that the recently predicted quantum spin Hall effect in graphene can occur only at unrealistically low temperature.
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
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
Quantum Spin Hall Effect in Graphene
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.226801 · Cited by 8,197
Haldane, F. D. M. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.2015 · Cited by 6,301
Physical Properties of Carbon Nanotubes
Saito, R., Dresselhaus, G., & Dresselhaus, M. S. (1998) · IMPERIAL COLLEGE PRESS eBooks · doi:10.1142/9781860943799 · Cited by 4,808
Condensed-Matter Simulation of a Three-Dimensional Anomaly
Semenoff, G. W. (1984) · Physical Review Letters · doi:10.1103/physrevlett.53.2449 · Cited by 1,832
Electronic properties of disordered two-dimensional carbon
Peres, N. M. R., Guinea, F., & Castro Neto, A. H. (2006) · Physical Review B · doi:10.1103/physrevb.73.125411 · Cited by 1,445
Unconventional Integer Quantum Hall Effect in Graphene
Gusynin, V. P., & Sharapov, S. G. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.146801 · Cited by 1,374
Strong Suppression of Weak Localization in Graphene
Morozov, S. V., Novoselov, K. S., Katsnelson, M. I., Schedin, F., Ponomarenko, L. A., Jiang, D., & Geim, A. K. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.016801 · Cited by 923
Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
Gusynin, V. P., & Sharapov, S. G. (2006) · Physical Review B · doi:10.1103/physrevb.73.245411 · Cited by 515
Cited by
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
“, 2006; Zarea and Sandler, 2007) and band structure calculations (Min et al., 2006; Yao et al., 2007) give estimates for the intrinsic and extrinsic spin-orbit interactions in the range 0.”
BackgroundInfluentialColloquium : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
Self-citationTopological Insulators in Three Dimensions
Fu, L., Kane, C. L., & Mele, E. J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.106803 · Cited by 4,651
Valley-Contrasting Physics in Graphene: Magnetic Moment and Topological Transport
Xiao, D., Yao, W., & Niu, Q. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.236809 · Cited by 2,296
Metadata
- Authors
- Yao, Y., Ye, F., Qi, X.-L., Zhang, S.-C., & Fang, Z.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2007-01-02
- Volume
- 75
- Issue
- 4
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2046916922
- Cited by
- 992
- References
- 14
- FWCI
- 13.53
- 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: Spin-orbit gap of graphene: First-principles calculations. https://app.cochat.ai/papers/10.1103/physrevb.75.041401
- The paper
- Yao, Y., Ye, F., Qi, X.-L., Zhang, S.-C., & Fang, Z. (2007). Spin-orbit gap of graphene: First-principles calculations. Physical Review B. https://doi.org/10.1103/physrevb.75.041401
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.
