The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.
Analytical study of electronic structure in armchair graphene nanoribbons
Open accessAbstract
We present the analytical solution of the wave function and energy dispersion of armchair graphene nanoribbons (GNRs) based on the tight-binding approximation. By imposing the hard-wall boundary condition, we find that the wave vector in the confined direction is discretized. This discrete wave vector serves as the index of different subbands. Our analytical solutions of wave function and associated energy dispersion reproduce the results of numerical tight-binding and the solutions based on the $\mathbf{k}∙\mathbf{p}$ approximation. In addition, we also find that all armchair GNRs with edge deformation have energy gaps, which agrees with recently reported first-principles calculations.
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
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
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
Electronic Confinement and Coherence in Patterned Epitaxial Graphene
Berger, C., Song, Z., Li, X., Wu, X., Brown, N., Naud, C., Mayou, D., Li, T., Hass, J., Marchenkov, A. N., et al. (2006) · Science · doi:10.1126/science.1125925 · Cited by 5,535
Energy Gaps in Graphene Nanoribbons
Son, Y.-W., Cohen, M. L., & Louie, S. G. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.216803 · Cited by 5,080
Half-metallic graphene nanoribbons
Son, Y.-W., Cohen, M. L., & Louie, S. G. (2006) · Nature · doi:10.1038/nature05180 · Cited by 4,197
Edge state in graphene ribbons: Nanometer size effect and edge shape dependence
Nakada, K., Fujita, M., Dresselhaus, G., & Dresselhaus, M. S. (1996) · Physical Review B · doi:10.1103/physrevb.54.17954 · Cited by 3,987
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
Berger, C., Song, Z., Li, T., Li, X., Ogbazghi, A. Y., Feng, R., Dai, Z., Marchenkov, A. N., Conrad, E. H., First, P. N., et al. (2004) · The Journal of Physical Chemistry B · doi:10.1021/jp040650f · Cited by 3,548
Controlling the Electronic Structure of Bilayer Graphene
Ohta, T., Bostwick, A., Seyller, T., Horn, K., & Rotenberg, E. (2006) · Science · doi:10.1126/science.1130681 · Cited by 3,339
Cited by
Properties of graphene: a theoretical perspective
Abergel, D. S. L., Apalkov, V., Berashevich, J., Ziegler, K., & Chakraborty, T. (2010) · Advances in Physics · doi:10.1080/00018732.2010.487978 · Cited by 1,152
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
Anomalous Doping Effects on Charge Transport in Graphene Nanoribbons
Biel, B., Blase, X., Triozon, F., & Roche, S. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.096803 · Cited by 342
Metadata
- Authors
- Zheng, H., Wang, Z. F., Luo, T., Shi, Q. W., & Chen, J.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2007-04-20
- Volume
- 75
- Issue
- 16
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2025094126
- Cited by
- 311
- References
- 20
- FWCI
- 9.14
- 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: Analytical study of electronic structure in armchair graphene nanoribbons. https://app.cochat.ai/papers/10.1103/physrevb.75.165414
- The paper
- Zheng, H., Wang, Z. F., Luo, T., Shi, Q. W., & Chen, J. (2007). Analytical study of electronic structure in armchair graphene nanoribbons. Physical Review B. https://doi.org/10.1103/physrevb.75.165414
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.
