The Eliashberg Function of Amorphous Metals

TL;DR

This paper links the thermal transport anomalies in amorphous metals to their Eliashberg function, showing that phonon scattering explains the observed linear frequency dependence and matches experimental data.

Contribution

It introduces a model connecting thermal transport properties with the Eliashberg function in amorphous metals, providing a quantitative explanation for experimental observations.

Findings

Linear region in the Eliashberg function at low frequencies

Good agreement with recent experimental data

Phonon mean-free-path explains thermal anomalies

Abstract

A connection is proposed between the anomalous thermal transport properties of amorphous solids and the low-frequency behavior of the Eliashberg function. By means of a model calculation we show that the size and frequency dependence of the phonon mean-free-path that has been extracted from measurements of the thermal conductivity in amorphous solids leads to a sizeable linear region in the Eliashberg function at small frequencies. Quantitative comparison with recent experiments gives very good agreement.