Electronic Transport in Metallic Systems and Generalized Kinetic Equations

TL;DR

This paper reviews theoretical approaches to electron transport and electrical conductivity in metallic systems, emphasizing generalized kinetic equations and model descriptions for transition metals and alloys, enhancing understanding beyond existing theories.

Contribution

It introduces a detailed qualitative theoretical formulation using generalized kinetic equations derived from the nonequilibrium statistical operator method for metallic systems.

Findings

Discusses low- and high-temperature resistivity behavior

Uses tight-binding and modified tight-binding approximations

Extends standard theories of electron transport

Abstract

This paper reviews some selected approaches to the description of transport properties, mainly electroconductivity, in crystalline and disordered metallic systems. A detailed qualitative theoretical formulation of the electron transport processes in metallic systems within a model approach is given. Generalized kinetic equations which were derived by the method of the nonequilibrium statistical operator are used. Tight-binding picture and modified tight-binding approximation (MTBA) were used for describing the electron subsystem and the electron-lattice interaction correspondingly. The low- and high-temperature behavior of the resistivity was discussed in detail. The main objects of discussion are nonmagnetic (or paramagnetic) transition metals and their disordered alloys. The choice of topics and the emphasis on concepts and model approach makes it a good method for a better understanding of the electrical conductivity of the transition metals and their disordered binary substitutional alloys, but the formalism developed can be applied (with suitable modification), in principle, to other systems. The approach we used and the results obtained complements the existent theories of the electrical conductivity in metallic systems. The present study extends the standard theoretical format and calculation procedures in the theories of electron transport in solids.