The Range of the Kondo Cloud in Weakly Disordered Hosts

TL;DR

This paper extends the calculation of the Kondo cloud to weakly disordered three-dimensional hosts, showing that disorder shortens the electron basis range but the Kondo cloud extension relates to the pure host length and mean free path.

Contribution

It introduces a method to analyze the Kondo cloud in disordered hosts and establishes a relation between the Kondo cloud extension, pure host length, and mean free path.

Findings

Ground state structure remains similar to pure host in weak disorder.

Disorder reduces the electron basis range significantly.

Kondo cloud extension scales with the square root of the pure host length times the mean free path.

Abstract

The calculation of the Kondo cloud is extended to disordered hosts. For a weakly disordered large three-dimensional host the structure of the ground state is very close to the pure host. However, the range of the disordered electron basis is much shorter. The extention of the Kondo cloud is essentially given by the square root of the Kondo length in the pure host times the mean free path.