Krstajić, P. M. and Vasilopoulos, P. (2011) Integral quantum Hall effect in graphene: Zero and finite Hall field. Physical Review B, 83 (7). 075427-1. ISSN 1098-0121
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Official URL: http://dx.doi.org/10.1103/PhysRevB.83.075427
Abstract
We study the influence of a finite Hall field EH on the Hall conductivity σyx in graphene. Analytical expressions are derived for σyx using the Kubo-Greenwood formula. For vanishing EH, we obtain the well-known expression σyx=4(N+1/2)e2/h. The inclusion of the dispersion of the energy levels, previously not considered, and their width, due to scattering by impurities, produces the plateau of the n=0 Landau level. Further, we evaluate the longitudinal resistivity ρxx and show that it exhibits an oscillatory behavior with the electron concentration. The peak values of ρxx depend strongly on the impurity concentration and their potential. For a finite EH, the result for σyx is the same as that for EH=0, provided EH is not strong, but the values and positions of the resistivity maxima are modified due to the EH-dependent dispersion of the energy levels.
| Divisions: | Concordia University > Faculty of Arts and Science > Physics |
|---|---|
| Item Type: | Article |
| Refereed: | Yes |
| Authors: | Krstajić, P. M. and Vasilopoulos, P. |
| Journal or Publication: | Physical Review B |
| Date: | 2011 |
| Digital Object Identifier (DOI): | 10.1103/PhysRevB.83.075427 |
| Keywords: | PACS number(s): 71.10.Pm, 72.25.−b, 73.21.−b |
| ID Code: | 7120 |
| Deposited By: | Danielle Dennie |
| Deposited On: | 07 Mar 2011 17:49 |
| Last Modified: | 18 Jan 2018 17:30 |
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