Quantum ripples in strongly correlated metals

TL;DR

This paper investigates how strong electronic correlations suppress Friedel oscillations in metals and explores their impact on scattering processes, revealing their diminished role in strongly correlated systems.

Contribution

It provides analytical insights into the suppression of Friedel oscillations and their limited influence on scattering in strongly correlated metals, especially in two-dimensional systems.

Findings

Friedel oscillations are significantly suppressed in strongly renormalized Fermi liquids.

The anomalous ballistic scattering rate is confined to a narrow temperature range in 2D systems.

Friedel oscillations play a prominent role mainly in weakly interacting systems.

Abstract

We study how well-known effects of the long-ranged Friedel oscillations are affected by strong electronic correlations. We first show that their range and amplitude are significantly suppressed in strongly renormalized Fermi liquids. We then investigate the interplay of elastic and inelastic scattering in the presence of these oscillations. In the singular case of two-dimensional systems, we show how the anomalous ballistic scattering rate is confined to a very restricted temperature range even for moderate correlations. In general, our analytical results indicate that a prominent role of Friedel oscillations is relegated to weakly interacting systems.