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Integral quantum Hall effect in graphene: Zero and finite Hall field

Title:

Integral quantum Hall effect in graphene: Zero and finite Hall field

Krstajić, P. and Vasilopoulos, P. (2011) Integral quantum Hall effect in graphene: Zero and finite Hall field. Physical Review B, 83 (7). 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. and Vasilopoulos, P.
Journal or Publication:Physical Review B
Date:2011
ID Code:973686
Deposited By:KATHARINE HALL
Deposited On:23 Mar 2012 09:41
Last Modified:23 Mar 2012 09:41
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