The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Elastic scattering theory and transport in graphene
Open accessAbstract
Electron properties of graphene are described in terms of Dirac fermions. Here we thoroughly outline the elastic scattering theory for the two-dimensional massive Dirac fermions in the presence of an axially symmetric potential. While the massless limit is relevant for pristine graphene, keeping finite mass allows for generalizations onto situations with broken symmetry between the two sublattices and provides a link to the scattering theory of electrons in a parabolic band. We demonstrate that the Dirac theory requires short-distance regularization for potentials which are more singular than $1∕r$. The formalism is then applied to scattering off a smooth short-ranged potential. Next, we consider the Coulomb potential scattering, where the Dirac theory is consistent for a point scatterer only for the effective impurity strength below $1∕2$. From the scattering phase shifts we obtain the exact Coulomb transport cross section in terms of the impurity strength. The results are relevant for transport in graphene in the presence of impurities that do not induce scattering between the Dirac points in the Brillouin zone.
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Cites
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
On gauge invariance and vacuum polarization
Schwinger, J. (1951) · Physical Review · doi:10.1103/physrev.82.664 · Cited by 7,116
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
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
Electronic 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
Asymmetry 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
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
“Thesolution of the Dira equation for the Coulomb poten-tial in 2D an be studied analyti ally (Biswas et al.,2007; DiVin enzo and Mele, 1984; Novikov, 2007a;Pereira et al., 2007b; Shytov et al., 2007).”
BackgroundMethodResultColloquium: The transport properties of graphene: An introduction
Peres, N. M. R. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.2673 · Cited by 1,017
Evidence of the role of contacts on the observed electron-hole asymmetry in graphene
Huard, B., Stander, N., Sulpizio, J. A., & Goldhaber-Gordon, D. (2008) · Physical Review B · doi:10.1103/physrevb.78.121402 · Cited by 422
Observing Atomic Collapse Resonances in Artificial Nuclei on Graphene
Wang, Y., Wong, D., Shytov, A. V., Brar, V. W., Choi, S., Wu, Q., Tsai, H.-Z., Regan, W., Zettl, A., Kawakami, R. K., et al. (2013) · Science · doi:10.1126/science.1234320 · Cited by 254
Metadata
- Authors
- Novikov, D. S.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2007-12-28
- Volume
- 76
- Issue
- 24
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2032931650
- Cited by
- 250
- References
- 7
- FWCI
- 8.04
- Type
- journal article
- Language
- en
- Open access
- green
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