Scaling at the Energy-driven Metal-Insulator Transition and the Thermoelectric Power

TL;DR

This paper investigates thermoelectric properties at the Anderson metal-insulator transition in 3D disordered systems, using numerical methods to analyze kinetic coefficients and transport behavior.

Contribution

It provides a detailed numerical analysis of thermoelectric properties at the MIT, focusing on coherent transport in 3D systems, an area previously less explored.

Findings

Calculated thermopower and electrical conductivity at the MIT

Analyzed low-temperature behavior of kinetic coefficients

Demonstrated coherent transport effects in 3D systems

Abstract

The electronic properties of disordered systems at the Anderson metal-insulator transition (MIT) have been the subject of intense study for several decades. Thermoelectric properties at the MIT, such as thermopower and thermal conductivity, however, have been relatively neglected. Using the recursive Green's function method and the Chester-Thellung-Kubo-Greenwood formalism, we calculate numerically the low temperature behaviour of all kinetic coefficients. From these we can deduce for example the electrical conductivity and the thermopower at finite temperatures. Here we present results for the case of completely coherent transport in cubic 3D systems.