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.
- tarball: 15gj-1.1.tar.gz
- 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).
- Some of the computations were carried out using a program called meankondo, which is available at http://ian.jauslin.org/software/meankondo.
- arXiv preprint: arXiv-1507.05678
- peer-reviewed version, published in the Journal of Statistical Physics, Volume 161, issue 5, page 1231-1235, doi:10.1007/s10955-015-1370-2
[BGJ15]: Kondo effect in a fermionic hierarchical model
Giuseppe Benfatto, Giovanni Gallavotti, Ian Jauslin, 2015
(published in Journal of Statistical Physics, volume 161, issue 5, pages 1203-1230, 2015)
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
video, pdf, source
[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