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 exponent corresponds to acoustic phonon scattering, long range Coulomb scattering mechanism and is short range (delta or contact potential) scattering in which the conductivity is constant of temperature. The case 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 by making electronic conductivity nonlinear. The effect of constant magnetic field at finite temperature is also considered.
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