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has been cited by the following article:

• TITLE: General Scattering Mechanism and Transport in Graphene

  AUTHORS: Musah Rabiu, Samuel Y. Mensah, Sulemana S. Abukari

  KEYWORDS: Boltzmann Transport Equation; Relaxation Time Approximation; Graphene Energy Spectrum; Electronic Conductivity; Scattering

  JOURNAL NAME: Graphene, Vol.2 No.1, January 24, 2013

  ABSTRACT: Using quasi time dependent semiclassical transport theory, within relaxation time approximation, we obtained coupled electronic current equations in the presence of time varying field, and based on general scattering mechanism,. In the vicinity of Dirac points, we find that a characteristic exponentcorresponds to acoustic phonon scattering,long range Coulomb scattering mechanism andis short range (delta or contact potential) scattering in which the conductivity is constant of temperature. Thecase is the ballistic regime. 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 bymaking electronic conductivity nonlinear. The effect of constant magnetic field at finite temperature is also considered.