# Le réseau Kondo à basse température: du liquide de Fermi au liquide de spin

Abstract : This thesis revolves around a main subject : the theoretical study of the Kondo effect in heavy fermions when the magnetic impurity concentration is high.

In the first part, the influence of the variation of the concentration of conducting electrons on the Kondo lattice
is studied at low temperature (exhaustion problem).
This effect can be observed experimentaly in some Cerium and Uranium compounds, whose coherence temperature can be considerably small compared to the predictions of single impurity models.
The study is made both analyticaly and numericaly in the large-N'' limit, where N is the number of spin components.
Whereas the single impurity models are caracterised at low temperature by a single energy scale, T_K, this thesis confirms the existence for the Kondo lattice of a second scale T*, caracterising the appearance of the Fermi liquid behavior.

In the second part, the effects of disorder and magnetic frustration are studied analyticaly, within the dynamical mean field theory formalism, in the large-N'' limit. A quantum critical point (QCP) is obtained between
a heavy Fermi liquid regime and a spin liquid regime.
The physical properties of the system are computed in the Kondo phase.
In particular, a strong decrease of T* and $T_K is obtained in the vicinity of the QCP. This result is correlated with the large effective mass that has been experimentaly mesured for the compound LiV$_{2}$O$_{4}\$.

Finaly, the third part presents a preliminary study and the
outline of the computation procedure leading to the numerical determination of the magnetic phase diagram of the periodic Anderson Model, using the dynamical mean field theory method.
Mots-clés :
Document type :
Theses

Cited literature [115 references]

https://tel.archives-ouvertes.fr/tel-00000901
Contributor : Sebastien Burdin <>
Submitted on : Wednesday, December 5, 2001 - 5:36:35 PM
Last modification on : Wednesday, November 4, 2020 - 2:46:25 PM
Long-term archiving on: : Tuesday, September 11, 2012 - 4:30:11 PM

### Identifiers

• HAL Id : tel-00000901, version 1

### Citation

Sebastien Burdin. Le réseau Kondo à basse température: du liquide de Fermi au liquide de spin. Physique mathématique [math-ph]. Université Joseph-Fourier - Grenoble I, 2001. Français. ⟨tel-00000901⟩

Record views