Model for Calculating Thermoelectric Properties of Nanostructured Material

For the barrier-well-barrier model of nanostructured thermoelectric material, based on Gaussian, Poschl-Teller potentials and rectangular barriers and well, thermoelectric characteristics were calculated. For quantum barrier-well-barrier structures based on Gaussian and PoschlTeller potentials, a program was developed to calculate thermoelectric characteristics using the Thomas algorithm for calculating the transmission coefficient of particles through the quantum structure and numerical integration of expressions for electrical conductivity and Seebeck coefficient, with corresponding graphical illustration of the results obtained. The calculations program is implemented on the Maple computer mathematics platform. For the quantum structure based on rectangular potentials, using the quantum impedance method, an expression was obtained for the transmission coefficient of particles through such a structure and applied for the calculation of electrical conductivity, Seebeck coefficient, and power factor using symbolic mathematics of the Maple package. The influence of resonant tunneling of particles through the proposed triple-barrier structure on its thermoelectric characteristics is taken into account. An analysis of the obtained calculation results is presented.