The Inner Life of the Kondo Ground State: An Answer to Kenneth Wilson's Question

TL;DR

This paper provides a graphical interpretation of the Kondo ground state, explaining the crossover from weak to strong coupling and the synchronization of low-energy electron states, addressing a long-standing question in condensed matter physics.

Contribution

It introduces a novel graphical interpretation that elucidates the physics behind the Kondo ground state and the crossover phenomenon, which was previously not simply explained.

Findings

Electron states in the low energy range are synchronized at the crossover.

An internal orthogonality catastrophe is avoided in the Kondo ground state.

Provides a new conceptual understanding of the Kondo effect's properties.

Abstract

The Kondo ground state has been investigated by numerical and exact methods, but the physics behind these results remains veiled. Nobel prize winner Wilson, who engineered the break through in his numerical renormalization group theory, commented in his review article "the author has no simple explanation ...for the crossover from weak to strong coupling". In this article a graphical interpretation is given for the extraordinary properties of the Kondo ground state. At the crossover all electron states in the low energy range of k_{B}T_{K} are synchronized. An internal orthogonality catastrophe is averted.