Screening of Coulomb Impurities in Graphene
| dc.creator | Terekhov, Ivan S. | |
| dc.creator | Milstein, Alexander I. | |
| dc.creator | Kotov, Valeri N. | |
| dc.creator | Sushkov, Oleg P. | |
| dc.date | 2007-08-31 | |
| dc.date | 2007-09-01 | |
| dc.date.accessioned | 2026-07-07T09:22:42Z | |
| dc.date.available | 2026-07-07T09:22:42Z | |
| dc.description | We calculate exactly the vacuum polarization charge density in the field of a subcritical Coulomb impurity, $Z|e|/r$, in graphene. Our analysis is based on the exact electron Green's function, obtained by using the operator method, and leads to results that are exact in the parameter $Zα$, where $α$ is the "fine structure constant" of graphene. Taking into account also electron-electron interactions in the Hartree approximation, we solve the problem self-consistently in the subcritical regime, where the impurity has an effective charge $Z_{eff}$, determined by the localized induced charge. We find that an impurity with bare charge Z=1 remains subcritical, $Z_{eff} α< 1/2$, for any $α$, while impurities with $Z=2,3$ and higher can become supercritical at certain values of $α$. | |
| dc.description | 4 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0708.4263 | |
| dc.identifier | http://arxiv.org/abs/0708.4263 | |
| dc.identifier | Physical Review Letters 100, 076803 (2008) | |
| dc.identifier | doi:10.1103/PhysRevLett.100.076803 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155469 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Materials Science | |
| dc.subject | Atomic Physics | |
| dc.title | Screening of Coulomb Impurities in Graphene | |
| dc.type | text |