Comment on "Theory of two-band superconductors"

TL;DR

This paper reviews the development of two-band superconductivity theory, highlighting its unique features, key references, and applications to materials like MgB2, emphasizing its differences from traditional one-band models.

Contribution

It summarizes the evolution of the two-band superconductivity theory, including new results and generalizations, and discusses its application to high-temperature superconductors like MgB2.

Findings

Two-band model reveals new qualitative behaviors compared to one-band models.

Generalizations of Moskalenko's model enable analysis of thermodynamics and collective oscillations.

Application to MgB2 explains its thermodynamic properties.

Abstract

The main stages of development of the theory of superconductivity in systems with overlapping energy bands are formulated. The main references on the classical papers of the author of this theory, Prof. Moskalenko V.A., and his coworkers are listed. The list also includes papers related to high - temperature superconductivity. Some peculiarities of the two - band model, which lead to qualitatively new results in comparison to the usual one - band model, are enumerated. We also list our own publications on thermodynamics and collective oscillations in the two - band systems which are based on a generalization of Moskalenko model of systems with overlapping energy bands for the case of a reduced density of charge carriers. Application of the two-band model to the description of thermodynamic properties of the compound $MgB_{2}$ is also discussed.