Conductivity Tensor in an Infinite Potential Cylindrical Quantum Wire with Electron-Acoustic Phonon Interaction

Low-dimensional semiconductors are currently widely used in various scientific applications. The properties of electrons in such systems undergo significant changes due to quantization of energy. A low-dimensional semiconductor system is the quantum wire, in which electrons can move without restrictions in one direction but are constrained in the other two directions. In this study, our study explores the conductivity tensor of an infinitely long cylindrical quantum wire in the presence of electrical field, specifically A laser beam and an electromagnetic wave field that is polarized linearly. Our analysis is limited to the case of interaction between electron and acoustic phonon. The equation of quantum kinetic for the carrier system is employed to calculate the expression of the tensor of conductivity in the presence of both fields. This study focuses on the quantum wire GaAs/ GaAsAl and examines how the conductivity tensor varies with the external fields. Finally, figures are provided to demonstrate how the conductivity tensor varies with the external fields.