Crossover from Anderson- to Kondo-like behavior: Universality induced by spin-charge separation

TL;DR

This paper presents an exact solution for a lattice Anderson impurity model, revealing a universal crossover from Anderson to Kondo behavior driven by spin-charge separation, aligning with scaling theory predictions.

Contribution

It provides an exact thermodynamic analysis of the Anderson impurity model, demonstrating the universality of the crossover via spin-charge separation.

Findings

Crossover from Anderson to Kondo regime characterized by energy scale separation.

Exact thermodynamic solution confirms universality in the transition.

Results align with scaling theory predictions.

Abstract

The thermodynamics of a lattice regularized asymmetric Anderson impurity in a correlated host is obtained by an exact solution. The crossover from the Anderson- to the Kondo-regime is studied, thus making contact with predictions by scaling theory. On the basis of the exact solution, the transition to universal Kondo behavior is shown to be realized by a graduate separation of the energy scales of spin and charge excitations.