The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Continuum model of the twisted graphene bilayer
Open accessAbstract
The continuum model of the twisted graphene bilayer [Lopes dos Santos, Peres, and Castro Neto, Phys. Rev. Lett. 99, 256802 (2007)] is extended to include all types of commensurate structures. The essential ingredient of the model, the Fourier components of the spatially modulated hopping amplitudes, can be calculated analytically for any type of commensurate structures in the low-twist-angle limit. We show that the Fourier components that could give rise to a gap in the sublattice exchange symmetric (SE-even) structures discussed by Mele [Phys. Rev. B 81, 161405 (2010)] vanish linearly with angle, whereas the amplitudes that saturate to finite values, as $\ensuremath{\theta}\ensuremath{\rightarrow}0$, ensure that all low-angle structures share essentially the same physics. We extend our previous calculations beyond the validity of perturbation theory to discuss the disappearance of Dirac cone structure at angles below $\ensuremath{\theta}\ensuremath{\lesssim}1$${}^{\ensuremath{\circ}}$.
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
Self-citationExperimental 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
Chiral tunnelling and the Klein paradox in graphene
Katsnelson, M. I., Novoselov, K. S., & Geim, A. K. (2006) · Nature Physics · doi:10.1038/nphys384 · Cited by 3,896
Landau-Level Degeneracy and Quantum Hall Effect in a Graphite Bilayer
McCann, E., & Fal’ko, V. I. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.086805 · Cited by 2,060
Biased Bilayer Graphene: Semiconductor with a Gap Tunable by the Electric Field Effect
Castro, E. V., Novoselov, K. S., Morozov, S. V., Peres, N. M. R., dos Santos, J. M. B. L., Nilsson, J., Guinea, F., Geim, A. K., & Neto, A. H. C. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.216802 · Cited by 2,033
Self-citationElectronic 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
Self-citationAsymmetry gap in the electronic band structure of bilayer graphene
McCann, E. (2006) · Physical Review B · doi:10.1103/physrevb.74.161403 · Cited by 1,275
Cited by
Correlated insulator behaviour at half-filling in magic-angle graphene superlattices
Cao, Y., Fatemi, V., Demir, A., Fang, S., Tomarken, S. L., Luo, J. Y., Sanchez-Yamagishi, J. D., Watanabe, K., Taniguchi, T., Kaxiras, E., et al. (2018) · Nature · doi:10.1038/nature26154 · Cited by 4,858
Tunable strongly coupled superconductivity in magic-angle twisted trilayer graphene
Park, J. M., Cao, Y., Watanabe, K., Taniguchi, T., & Jarillo-Herrero, P. (2021) · Nature · doi:10.1038/s41586-021-03192-0 · Cited by 855
Tunable correlated states and spin-polarized phases in twisted bilayer–bilayer graphene
Cao, Y., Rodan-Legrain, D., Rubies-Bigorda, O., Park, J. M., Watanabe, K., Taniguchi, T., & Jarillo-Herrero, P. (2020) · Nature · doi:10.1038/s41586-020-2260-6 · Cited by 668
Faithful tight-binding models and fragile topology of magic-angle bilayer graphene
Po, H. C., Zou, L., Senthil, T., & Vishwanath, A. (2019) · Physical Review B · doi:10.1103/physrevb.99.195455 · Cited by 394
Electronic-structure methods for twisted moiré layers
Carr, S., Fang, S., & Kaxiras, E. (2020) · Nature Reviews Materials · doi:10.1038/s41578-020-0214-0 · Cited by 303
Metadata
- Authors
- Lopes dos Santos, J. M. B., Peres, N. M. R., & Castro Neto, A. H.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2012-10-25
- Volume
- 86
- Issue
- 15
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1767275350
- Cited by
- 611
- References
- 7
- FWCI
- 8.25
- 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: Continuum model of the twisted graphene bilayer. https://app.cochat.ai/papers/10.1103/physrevb.86.155449
- The paper
- Lopes dos Santos, J. M. B., Peres, N. M. R., & Castro Neto, A. H. (2012). Continuum model of the twisted graphene bilayer. Physical Review B. https://doi.org/10.1103/physrevb.86.155449
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.
