Conductivity tensor in cylindrical quantum wire with infinite potential for the case of electron-optical phonon scattering

Abstract Conductivity tensor characterizes the conductivity of the material, this work calculates the conductivity tensor in a cylindrical quantum wire with infinite potential in the presence of two external fields, the laser field and linearly polarized electromagnetic wave field. The problem is also only considered for the case of electron-optical phonon scattering. By using a quantum kinetic equation for electrons in a quantum wire in the presence of two external fields, the conductivity tensor is calculated. The expression for conductivity tensor shows its dependence on the frequency and amplitude of the external field as well as other parameters specific to the system The figure of the dependence of the conductivity tensor to the external field will be investigated and plotted for the quantum wire GaAs/GaAsAl.