Kondo effect in a fermionic hierarchical model
Statistical Mechanics
2016-01-20 v2
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.
Cite
@article{arxiv.1506.04381,
title = {Kondo effect in a fermionic hierarchical model},
author = {Giuseppe Benfatto and Giovanni Gallavotti and Ian Jauslin},
journal= {arXiv preprint arXiv:1506.04381},
year = {2016}
}