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Continuum approximation to fullerene molecules
Abstract
The electronic and elastic properties of large fullerene molecules are studied. The low-lying electronic levels are described by the Dirac equations in (2+1) dimensions, and the intramolecular modes are given by the theory of elasticity. Coupling between electrons and phonons can also be written in a simple way. The quantum dynamics of the ions is modified by the appearance of nontrivial Berry's phases. The qualitative features of fullerenes with elliptical and cylindrical geometries, and minimal surfaces with negative curvature are also studied.
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Citations
Cites
Quantum Fields in Curved Space
Birrell, N. D., & Davies, P. C. W. (1982) · doi:10.1017/cbo9780511622632 · Cited by 8,354
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
“Far away from the defe t, a slow rotation of the omponents of the spinorial wavefun tion an be de-s ribed by a gauge eld whi h a ts on the valleyand sublatti e indi es (González et al., 1992, 1993b).”
BackgroundSelf-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-citationDisorder Induced Localized States in Graphene
Pereira, V. M., Guinea, F., Lopes dos Santos, J. M. B., Peres, N. M. R., & Castro Neto, A. H. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.036801 · Cited by 623
Self-citationMorpurgo, A. F., & Guinea, F. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.196804 · Cited by 432
Self-citationSymmetry-based approach to electron-phonon interactions in graphene
Mañes, J. L. (2007) · Physical Review B · doi:10.1103/physrevb.76.045430 · Cited by 276
Metadata
- Authors
- González, J., Guinea, F., & Vozmediano, M. A. H.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1992-07-06
- Volume
- 69
- Issue
- 1
- Pages
- 172-175
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2075795509
- Cited by
- 197
- References
- 1
- FWCI
- 3.27
- Type
- journal article
- Language
- en
- Open access
- closed
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- González, J., Guinea, F., & Vozmediano, M. A. H. (1992). Continuum approximation to fullerene molecules. Physical Review Letters. https://doi.org/10.1103/physrevlett.69.172
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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.
