The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Non-Abelian Gauge Potentials in Graphene Bilayers
Open accessAbstract
We study the effect of spatial modulations in the interlayer hopping of graphene bilayers, such as those that arise upon shearing or twisting. We show that their single-particle physics, characterized by charge accumulation and recurrent formation of zero-energy bands as the pattern period L increases, is governed by a non-Abelian gauge potential arising in the low-energy electronic theory due to the coupling between layers. We show that such gauge-type couplings give rise to a potential that, for certain discrete values of L, spatially confines states at zero energy in particular regions of the moiré patterns. We also draw the connection between the recurrence of the flat zero-energy bands and the non-Abelian character of the potential.
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-citationTwo-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
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
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
Self-citationConcept of nonintegrable phase factors and global formulation of gauge fields
Wu, T. T., & Yang, C. N. (1975) · Physical Review D · doi:10.1103/physrevd.12.3845 · Cited by 1,196
Cold Atoms in Non-Abelian Gauge Potentials: From the Hofstadter "Moth" to Lattice Gauge Theory
Osterloh, K., Baig, M., Santos, L., Zoller, P., & Lewenstein, M. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.010403 · Cited by 428
Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop
Goldman, N., Kubasiak, A., Gaspard, P., & Lewenstein, M. (2009) · Physical Review A · doi:10.1103/physreva.79.023624 · Cited by 99
Cited by
Brihuega, I., Mallet, P., González-Herrero, H., Trambly de Laissardière, G., Ugeda, M. M., Magaud, L., Gómez-Rodríguez, J. M., Ynduráin, F., & Veuillen, J.-Y. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.196802 · Cited by 454
Tight-binding model and direct-gap/indirect-gap transition in single-layer and multilayer MoS2
Cappelluti, E., Roldán, R., Silva-Guillén, J. A., Ordejón, P., & Guinea, F. (2013) · Physical Review B · doi:10.1103/physrevb.88.075409 · Cited by 431
Self-citationNon-Abelian S U ( 2 ) gauge fields through density wave order and strain in graphene
Gopalakrishnan, S., Ghaemi, P., & Ryu, S. (2012) · Physical Review B · doi:10.1103/physrevb.86.081403 · Cited by 21
Metadata
- Authors
- San-Jose, P., González, J., & Guinea, F.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2012-05-23
- Volume
- 108
- Issue
- 21
- Pages
- 216802-216802
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2152440454
- Cited by
- 239
- References
- 7
- FWCI
- 5.36
- 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: Non-Abelian Gauge Potentials in Graphene Bilayers. https://app.cochat.ai/papers/10.1103/physrevlett.108.216802
- The paper
- San-Jose, P., González, J., & Guinea, F. (2012). Non-Abelian Gauge Potentials in Graphene Bilayers. Physical Review Letters. https://doi.org/10.1103/physrevlett.108.216802
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.
