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Dielectric function, screening, and plasmons in two-dimensional graphene
Open accessAbstract
The dynamical dielectric function of two-dimensional graphene at arbitrary wave vector $q$ and frequency $\ensuremath{\omega}$, $ϵ(q,\ensuremath{\omega})$, is calculated in the self-consistent-field approximation. The results are used to find the dispersion of the plasmon mode and the electrostatic screening of the Coulomb interaction in two-dimensional (2D) graphene layer within the random-phase approximation. At long wavelengths $(q\ensuremath{\rightarrow}0)$, the plasmon dispersion shows the local classical behavior ${\ensuremath{\omega}}_{\mathit{cl}}={\ensuremath{\omega}}_{0}\sqrt{q}$, but the density dependence of the plasma frequency $({\ensuremath{\omega}}_{0}\ensuremath{\propto}{n}^{1∕4})$ is different from the usual 2D electron system $({\ensuremath{\omega}}_{0}\ensuremath{\propto}{n}^{1∕2})$. The wave-vector-dependent plasmon dispersion and the static screening function show very different behavior than the usual 2D case. We show that the intrinsic interband contributions to static graphene screening can be effectively absorbed in a background dielectric constant.
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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 properties of two-dimensional systems
Ando, T., Fowler, A. B., & Stern, F. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.437 · Cited by 7,455
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
Alternative Plasmonic Materials: Beyond Gold and Silver
Naik, G. V., Shalaev, V. M., & Boltasseva, A. (2013) · Advanced Materials · doi:10.1002/adma.201205076 · Cited by 2,373
Searching for better plasmonic materials
West, P. R., Ishii, S., Naik, G. V., Emani, N. K., Shalaev, V. M., & Boltasseva, A. (2010) · Laser & Photonics Reviews · doi:10.1002/lpor.200900055 · Cited by 2,116
Optical nano-imaging of gate-tunable graphene plasmons
Chen, J., Badioli, M., Alonso-González, P., Thongrattanasiri, S., Huth, F., Osmond, J., Spasenović, M., Centeno, A., Pesquera, A., Godignon, P., et al. (2012) · Nature · doi:10.1038/nature11254 · Cited by 2,107
Graphene Plasmonics: Challenges and Opportunities
García de Abajo, F. J. (2014) · ACS Photonics · doi:10.1021/ph400147y · Cited by 1,254
Metadata
- Authors
- Hwang, E. H., & Das Sarma, S.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2007-05-11
- Volume
- 75
- Issue
- 20
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1508109752
- Cited by
- 1,677
- References
- 4
- FWCI
- 39.55
- Type
- journal article
- Language
- en
- Open access
- green
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