Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1999-03-05
Acta Phys. Pol. B 29, 3753 (1998)
Physics
Condensed Matter
Strongly Correlated Electrons
27 pages, 6 figures, 51 references, appeared in the Proceedings of the XXXVIII Cracow School of Theoretical Physics, Zakopane,
Scientific paper
In this lecture, we review the experimental situation of heavy Fermions with emphasis on the existence of a quantum phase transition (QPT) and related non-Fermi liquid (NFL) effects. We overview the Kondo lattice model (KLM) which is believed to describe the physics of those systems. After recalling the existing theories based on large-N expansion and various N=2 schemes, we present two alternative approaches: (i) a spin fluctuation-Kondo functional integral approach treating the spin-fluctuation and Kondo effects on an equal footing, and (ii) a supersymmetric theory enlarging the usual fermionic representation of the spin into a mixed fermionic-bosonic representation in order to describe the spin degrees of freedom as well as the Fermi-liquid type excitations. This kind of approaches may open up new prospects for the description of the critical phenomena associated to the quantum phase transition in Heavy-Fermion systems.
Lavagna Mireille
Pepin Catherine
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