Kondo effect in the hierarchical s-d model
Giovanni Gallavotti, Ian Jauslin
The s-d model describes a chain of spin-1/2 electrons interacting magnetically with a two-level impurity. It was introduced to study the Kondo effect, in which the magnetic susceptibility of the impurity remains finite in the 0-temperature limit as long as the interaction of the impurity with the electrons is anti-ferromagnetic. A variant of this model was introduced by Andrei, which he proved was exactly solvable via Bethe Ansatz. A hierarchical version of Andrei's model was studied by Benfatto and the authors. In the present letter, that discussion is extended to a hierarchical version of the $s-d$ model. The resulting analysis is very similar to the hierarchical Andrei model, though the result is slightly simpler.
git repository: 15gj-git (the git repository contains detailed information about the changes in the paper as well as the source code for all previous versions).
This work has been presented at the following conferences:
[IAS16]: Strong-coupling renormalization group in the hierarchical Kondo model
Institute for Advanced Study, Princeton, USA, Sep 21 2016
[Zur16]: Strong-coupling renormalization group in a hierarchical Kondo model
University of Zurich, Switzerland, Mar 24 2016
[PhD16]: The renormalization group in the weak- and strong-coupling regimes
PhD defense, University of Rome "Sapienza", Rome, Italy, Jan 22 2016
[Rut15]: Non-perturbative renormalization group in a hierarchical Kondo model
Rutgers University, USA, Sep 03 2015