Investigations of Superconductors Thermodynamic Properties by Solving the Eliashberg Equations

Solving the system of Eliashberg equations provides a deeper and better understanding of the internal structure of superconductors in accordance with the classical theory of BCS superconductivity. Therefore, the development and research of numerical methods capable of solving the system of Eliashberg equations is very relevant in the search for high-temperature superconductors. In the course of this work: • A software package will be created to calculate the physical properties of superconductors, such as the temperature of the superconducting transition, the order parameter, the width of the superconducting gap, etc. • The behavior of different materials at different pressures near the superconducting transition temperature will be studied. • The effectiveness of various physical models used in the system of Eliashberg equations and various algorithms for its solution will be studied. • Along with the traditional recording of the system of Eliashberg equations for imaginary Matsubara frequencies, a fairly new and promising approach will be investigated with the recording of this system relative to real frequencies. In this work: figures – 19, Tables – 2, appendixes – 1. Bibliographic list include 21 sources.