Non-perturbative renormalization group in a hierarchical Kondo model

Rutgers University, USA

September 03, 2015

Abstract

In this seminar, a hierarchical version of the Kondo model is introduced and shown to be exactly solvable via renormalization group techniques. The qualitative behavior of the magnetic susceptibility of the system is shown to be governed by a non-trivial fixed point in the renormalization group flow. The hierarchical Kondo model therefore provides an example of a system that can be studied exactly using renormalization group methods without being asymptotically free.

Joint work with Giuseppe Benfatto and Giovanni Gallavotti.

Slides

PDF:

• Jauslin_Rutgers_2015.pdf

• tarball: 15rutgers-1.1.tar.gz
• git repository: 15rutgers-git (the git repository contains detailed information about the changes in the slides as well as the source code for all previous versions).

References

This presentation is based on

• [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)
  pdf, source


• [GJ15]: Kondo effect in the hierarchical s-d model
  Giovanni Gallavotti, Ian Jauslin, 2015
  (This letter is an extension of [BGJ15] to the s-d model)
  (published in Journal of Statistical Physics, volume 161, issue 5, pages 1231-1235, 2015)
  pdf, source