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arXiv · 1108.2809

General Scattering Mechanism and Transport in Graphene

M. Rabiu·S. Y. Mensah·S. S. Abukari
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Abstract

Using quasi-time dependent semi-classical transport theory in RTA, we obtained coupled current equations in the presence of time varying field and based on general scattering mechanism $τ\propto \mathcal{E}^β$. We find that close to the Dirac point, the characteristic exponent $β= +2$ corresponds to acoustic phonon scattering. $β= +1$ long-range Coulomb scattering mechanism. $β= -1$ is short-range delta potential scattering in which the conductivity is constant of temperature. The $β= 0$ case is ballistic limit. In the low energy dynamics of Dirac electrons in graphene, the effect of the time-dependent electric field is to alter just the electron charge by $e \to e(1 + (Ωτ)^2)$ making electronic conductivity non-linear. The effect of magnetic filed is also considered.

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M. Rabiu, S. Y. Mensah, S. S. Abukari. 2011-10-02. General Scattering Mechanism and Transport in Graphene. https://doi.org/10.4236/graphene.2013.21007

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