The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Band-structure topologies of graphene: Spin-orbit coupling effects from first principles
Open accessAbstract
The electronic band structure of graphene in the presence of spin-orbit coupling and transverse electric field is investigated from first principles using the linearized augmented plane-wave method. The spin-orbit coupling opens a gap of $24\text{ }\ensuremath{\mu}\text{eV}$ (0.28 K) at the $K({K}^{\ensuremath{'}})$ point. It is shown that the previously accepted value of $1\text{ }\ensuremath{\mu}\text{eV}$, coming from the $\ensuremath{\sigma}\text{\ensuremath{-}}\ensuremath{\pi}$ mixing, is incorrect due to the neglect of $d$ and higher orbitals whose contribution is dominant due to symmetry reasons. The transverse electric field induces an additional (extrinsic) Bychkov-Rashba-type splitting of $10\text{ }\ensuremath{\mu}\text{eV}$ (0.11 K) per V/nm, coming from the $\ensuremath{\sigma}\text{\ensuremath{-}}\ensuremath{\pi}$ mixing. A ``miniripple'' configuration with every other atom shifted out of the sheet by less than 1% differs little from the intrinsic case.
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
Generalized Gradient Approximation Made Simple
Perdew, J. P., Burke, K., & Ernzerhof, M. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.3865 · Cited by 215,824
Electric Field Effect in Atomically Thin Carbon Films
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Zhang, Y., Dubonos, S. V., Grigorieva, I. V., & Firsov, A. A. (2004) · Science · doi:10.1126/science.1102896 · Cited by 66,834
Geim, A. K., & Novoselov, K. S. (2007) · Nature Materials · doi:10.1038/nmat1849 · Cited by 39,979
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
Slonczewski, J. C., & Weiss, P. R. (1958) · Physical Review · doi:10.1103/physrev.109.272 · Cited by 1,647
Cited by
Colloquium : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930
Spintronics and pseudospintronics in graphene and topological insulators
Pesin, D., & MacDonald, A. H. (2012) · Nature Materials · doi:10.1038/nmat3305 · Cited by 1,077
Structure of graphene and its disorders: a review
Yang, G., Li, L., Lee, W. B., & Ng, M. C. (2018) · Science and Technology of Advanced Materials · doi:10.1080/14686996.2018.1494493 · Cited by 759
Tight-binding theory of the spin-orbit coupling in graphene
Konschuh, S., Gmitra, M., & Fabian, J. (2010) · Physical Review B · doi:10.1103/physrevb.82.245412 · Cited by 517
Self-citationGermanene: the germanium analogue of graphene
Acun, A., Zhang, L., Bampoulis, P., Farmanbar, M., van Houselt, A., Rudenko, A. N., Lingenfelder, M., Brocks, G., Poelsema, B., Katsnelson, M. I., et al. (2015) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/27/44/443002 · Cited by 502
Metadata
- Authors
- Gmitra, M., Konschuh, S., Ertler, C., Ambrosch-Draxl, C., & Fabian, J.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2009-12-28
- Volume
- 80
- Issue
- 23
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2116647304
- Cited by
- 682
- References
- 7
- FWCI
- 15.47
- 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: Band-structure topologies of graphene: Spin-orbit coupling effects from first principles. https://app.cochat.ai/papers/10.1103/physrevb.80.235431
- The paper
- Gmitra, M., Konschuh, S., Ertler, C., Ambrosch-Draxl, C., & Fabian, J. (2009). Band-structure topologies of graphene: Spin-orbit coupling effects from first principles. Physical Review B. https://doi.org/10.1103/physrevb.80.235431
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.
