Fermi-Liquid $T^2$ Resistivity: Dynamical Mean-Field Theory Meets Experiment

TL;DR

This paper combines density-functional theory and dynamical mean-field theory to analyze Fermi-liquid $T^2$ resistivity in metals, specifically in SrVO$_{3}$ and SrMoO$_{3}$, aligning theoretical predictions with experimental data.

Contribution

It introduces a precise framework to analyze Fermi-liquid behavior using advanced theoretical methods and applies it to specific perovskite oxides, bridging theory and experiment.

Findings

Theoretical calculations agree with low-temperature resistivity measurements.

Impurity and phonon scattering effects are distinguished from intrinsic Fermi-liquid behavior.

A need for improved material synthesis and characterization is highlighted.

Abstract

Direct-current resistivity is a key probe for the physical properties of materials. In metals, Fermi-liquid (FL) theory serves as the basis for understanding transport. A $T^2$ behavior of the resistivity is often taken as a signature of FL electron-electron scattering. However, the presence of impurity and phonon scattering as well as material-specific aspects such as Fermi surface geometry can complicate this interpretation. We demonstrate how density-functional theory combined with dynamical mean-field theory can be used to elucidate the FL regime. We take as examples SrVO$_{3}$ and SrMoO$_{3}$, two moderately correlated perovskite oxides, and establish a precise framework to analyze the FL behavior of the self-energy at low energy and temperature. Reviewing published low-temperature resistivity measurements, we find agreement between our calculations and experiments performed on samples with exceptionally low residual resistivity. This comparison emphasizes the need for further theoretical, synthesis, and characterization developments in these and other FL materials.