Real-space structure of the impurity screening cloud in the Resonant Level Model

TL;DR

This paper investigates the structure and behavior of the impurity screening cloud in the Resonant Level Model, analyzing how it is affected by various physical parameters and conditions.

Contribution

It provides a detailed characterization of the impurity screening cloud using scaling analyses and explores how different factors modify or destroy the cloud.

Findings

Screening cloud structure characterized by impurity-bath correlators and entanglement entropy.

Finite temperature and impurity detuning alter the screening cloud.

Unconventional baths with diverging density of states can destroy or modify the screening cloud.

Abstract

We present a detailed investigation of the impurity screening cloud in the Resonant Level Model. The screening is visible in the structure of impurity-bath correlators as a function of distance from the impurity. We characterize the screening cloud through scaling analyses of impurity-bath correlators and entanglement entropies. We devise and study several situations where the screening cloud is destroyed or modified: finite temperatures, energetic detuning of the impurity from the chemical potential, and the situation of an unconventional bath with diverging density of states.