Cylindrical quantum wires: the Quantum photo-stimulated Peltier effect under the influence of confined acoustic phonons

Abstract

Abstract The Quantum photo-stimulated Peltier effect has been theoretically studied under the influence of confined acoustic phonon in a cylindrical quantum wires with an infinite potential by using the quantum kinetic equation method. In this work, we assume that the confined electrons-confined acoustic phonons scattering is essential. Moreover, the presence of a strong electromagnetic wave (EMW) is also taken into account to determine the influence of confined phonons on the aforementioned effects. We have defined the analytical expressions for the kinetic tensors and the Peltier coefficients (PC). In detailed consideration, the quantum number m1, m2 were changed in order to characterize the influence of confined acoustic phonon (confined AP). As the radius of the wire increases to infinity, we obtained the results that corresponded to the case of bulk phonons (unconfined AP). The theoretical results have been numerically evaluated and discussed for the GaAs/AlGaAs cylindrical quantum wires (CQW). The change of PC in two cases unconfined AP and confined AP have been found according to augment of EMW frequency. The value of resonant peaks has altered under the effect of confined AP. The difference of PC also has been discovered when investigating its dependence on the cyclotron frequency. Furthermore, the PC reduced suddenly when considering the dependence of PC on the radius of wire and PC on the low temperature. All numerical showed that the magnitude of PC diverse significantly in comparison with unconfined AP case and doped two - dimensional semiconductor superlattice. This means that the confinement of the phonon affects the Peltier effect quantitatively and qualitatively. These results are new and provide to completing the theory of the Peltier effect in low-dimensional semiconductor systems.