The influence of the extraneous field on the conductivity tensor in cylindrical quantum wire with electron-optical phonon scattering

Abstract

This work calculates conductivity tensors in cylindrical quantum wires with parabolic potential, with the presence of an electromagnetic wave field, a laser field, and is only considered for the case of electron-optical phonon scattering. By using the quantum kinetic equation for the electron in the quantum wire with the parabolic potential, combined with the presence of two external fields, the expression of conductivity tensor is computed for the case of optical electron-phonon scattering. This conductivity tensor expression depends on the electromagnetic wave frequency, the laser field frequency, the laser field amplitude, and the quantities that characterize the cylindrical quantum wire with parabolic potential. The figure of the dependence of the conductivity tensor to the external field will be plotted, examined, and analyzed for the quantum wire GaAs / GaAsAl.