Kondo effect in a fermionic hierarchical model
Giuseppe Benfatto, Giovanni Gallavotti, Ian Jauslin
2015
Abstract
In this paper, a fermionic hierarchical model is defined, inspired by
the Kondo model, which describes a 1dimensional lattice gas of spin1/2
electrons interacting with a spin1/2 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 0temperature
limit, whereas it diverges if the interaction is ferromagnetic. Such an effect
is therefore inherently nonperturbative. This difficulty is overcome by using
the exact solvability of the model, which follows both from its fermionic and
hierarchical nature.
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This work has been presented at the following conferences:

[IAS16]: Strongcoupling renormalization group in the hierarchical Kondo model
Institute for Advanced Study, Princeton, USA, Sep 21 2016
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[Zur16]: Strongcoupling renormalization group in a hierarchical Kondo model
University of Zurich, Switzerland, Mar 24 2016
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[PhD16]: The renormalization group in the weak and strongcoupling regimes
PhD defense, University of Rome "Sapienza", Rome, Italy, Jan 22 2016
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[Rut15]: Nonperturbative renormalization group in a hierarchical Kondo model
Rutgers University, USA, Sep 03 2015
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[ICMP15]: Nonperturbative renormalization group in a hierarchical Kondo model
XVIII International Congress of Mathematical Physics, Santiago, Chile, Jul 30 2015
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source

[TQMS15]: Nonperturbative renormalization group in a hierarchical Kondo model
Trails in Quantum Mechanics and Surroundings, Como, Italy, Jul 09 2015
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source