Kondo effect in a fermionic hierarchical model

Abstract

In this paper, a fermionic hierarchical model is defined, inspired by the Kondo model, which describes a 1-dimensional lattice gas of spin-1/2 electrons interacting with a spin-1/2 impurity. This model is proved to be exactly solvable, and is shown to exhibit a Kondo effect, i.e. that, if the interaction between the impurity and the electrons is antiferromagnetic, then the magnetic susceptibility of the impurity is finite in the 0-temperature limit, whereas it diverges if the interaction is ferromagnetic. Such an effect is therefore inherently non-perturbative. This difficulty is overcome by using the exact solvability of the model, which follows both from its fermionic and hierarchical nature.

References in corpus (1)

• Renormalization Group Approach to Interacting Fermions

Cited by in corpus (3)

• Energy correlations of non-integrable Ising models: The scaling limit in the cylinder
• Spectral gap critical exponent for Glauber dynamics of hierarchical spin models
• Kondo effect in the hierarchical s-d model