Phase diagram of the Kondo necklace: a mean-field renormalization group approach

@article{Rappoport2001PhaseDO,
  title={Phase diagram of the Kondo necklace: a mean-field renormalization group approach},
  author={Tatiana G. Rappoport and Mucio A. Continentino},
  journal={Journal of Physics A},
  year={2001},
  volume={34},
  pages={10829-10837}
}
In this paper we investigate the magnetic properties of heavy fermions in the antiferromagnetic and dense Kondo phases in the framework of the Kondo necklace model. We use a mean-field renormalization group approach to obtain a temperature versus Kondo coupling (T–J) phase diagram for this model in qualitative agreement with Doniach's diagram, proposed on physical grounds. We further analyse the magnetically disordered phase using a two-site approach. We calculate the correlation functions and… 
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References

SHOWING 1-10 OF 28 REFERENCES
Phase diagram of the Kondo lattice
We discuss the phase diagram of the Kondo lattice: we generalize to the lattice a method proposed by Yoshimori and Sakurai for the single-impurity Kondo problem; this method transforms the Kondo…
Kondo spin liquid and magnetically long-range ordered states in the Kondo necklace model
A simplified version of the symmetric Kondo lattice model, the Kondo necklace model, is studied by using a representation of impurity and conduction electron spins in terms of local Kondo singlet and…
Critical approach to the coherence transition in Kondo lattices.
TLDR
The Kondo lattice is studied from the point of view of the scaling theory of critical phenomena and the effect of a magnetic field is investigated and characterized by another critical exponent that obey scaling relations with a shifted dimensionality.
Charging effects and quantum crossover in granular superconductors.
TLDR
It is argued that, in the presence of charge ordering, a nonmonotonic behavior with decreasing temperature is possible with a maximum in the resistance just before entering the superconducting phase.
QUANTUM MONTE CARLO SIMULATIONS OF THE HALF-FILLED TWO-DIMENSIONAL KONDO LATTICE MODEL
The 2D half-filled Kondo lattice model with exchange J and nearest neighbor hopping t is considered. It is shown that this model belongs to a class of Hamiltonians for which zero-temperature…
Disorder-Driven Non-Fermi-Liquid Behavior in Kondo Alloys
We show how a model of disordered Anderson lattices can account for many non-Fermi-liquid features observed in some Kondo alloys. Because of the exponential nature of the Kondo temperature scale…
Finite-size-scaling study of the gap formation in the "Kondo-necklace" model.
TLDR
These results indicate strongly a finite critical coupling in contrast to the one-dimensional Kondo lattice.
The Kondo lattice and weak antiferromagnetism
Relation between the Anderson and Kondo Hamiltonians
A canonical transformation is used to relate the Anderson model of a localized magnetic moment in a dilute alloy to that of Kondo. In the limit of small $s\ensuremath{-}d$ mixing, which is the most…
Onset of antiferromagnetism in heavy-fermion metals
TLDR
Evidence is found for an atomically local contribution to the magnetic correlations which develops at the critical gold concentration, corresponding to a magnetic ordering temperature of zero, which implies that a Fermi-liquid-destroying spin-localizing transition, unanticipated from the spin density wave description, coincides with the antiferromagnetic quantum critical point.
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