Is there an exponentially large Kondo screening cloud ?

TL;DR

This paper proposes a scaling conjecture for the size of the Kondo screening cloud around an impurity spin, and tests it numerically using the Density Matrix Renormalization Group method.

Contribution

It introduces a new scaling conjecture for the Kondo screening cloud and validates it through numerical simulations.

Findings

Supports the proposed scaling conjecture

Provides numerical evidence for the size of the Kondo cloud

Enhances understanding of impurity screening in quantum systems

Abstract

We make a precise scaling conjecture, based on renormalization group ideas, regarding the screening cloud around an impurity spin in the Kondo effect and test it numerically using the Density Matrix Renormalization Group method.