Software Complex for the Numerical Solution of the Isotropic Imaginary-Axis Eliashberg Equations

TL;DR

This paper presents a software suite for numerically solving the isotropic imaginary-axis Eliashberg equations, enabling calculations of superconducting properties for high-pressure metallic hydrogen and other substances.

Contribution

It introduces a set of programs in various forms for solving Eliashberg equations on the imaginary axis, facilitating high-pressure superconductivity research.

Findings

Calculated thermodynamic properties of metallic hydrogen I41/AMD phase.

Demonstrated application to substances under high pressure.

Provided tools for high-accuracy superconductivity modeling.

Abstract

At present, the task of searching for compounds with a high superconducting transition temperature is a very relevant scientific direction. Usually, the calculation of is carried out by numerically solving the system of Eliashberg equations. In this paper, a set of programs for solving this system written in various forms on the imaginary axis is presented. As an example of the developed methods applications, calculations results of and thermodynamic properties of the metallic hydrogen I41/AMD phase and some other substances under high pressure are presented.