Non-generality of the Kadowaki-Woods ratio in correlated oxides

TL;DR

This paper derives an explicit expression for the Kadowaki-Woods ratio in correlated metals, explaining deviations in oxides through various material parameters and proposing a re-scaling of the traditional plot.

Contribution

It provides a new theoretical expression for the Kadowaki-Woods ratio and explains deviations in oxides based on physical parameters, along with a re-scaling method.

Findings

Deviations in oxides are explained by carrier density, dimensionality, and other factors.

A generic re-scaling of the Kadowaki-Woods plot is proposed.

The saturation of the Fermi-liquid scattering rate is key to the derivation.

Abstract

An explicit expression for the Kadowaki-Woods ratio in correlated metals is derived by invoking saturation of the (high-frequency) Fermi-liquid scattering rate at the Mott-Ioffe-Regel limit. Significant deviations observed in a number of oxides are quantitatively explained due to variations in carrier density, dimensionality, unit cell volume and the number of individual sheets in the Brillouin zone. A generic re-scaling of the original Kadowaki-Woods plot is also presented.