Phase diagram of the Kondo lattice

Lacroix, C.; Cyrot, M.

doi:10.1103/physrevb.20.1969

Cited by 317 publications

(242 citation statements)

References 22 publications

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“…30 This approximation allows us to find simultaneously the Kondo effect 31 and the antiferromagnetic correlations in a method analogous to that of the resonating valence bond ͑RVB͒ introduced by Anderson. 32 Thus, we introduce the two following mean values for the nonmagnetic state, namely,…”

Section: The Theoretical Modelmentioning

confidence: 99%

Revisited Doniach diagram: Influence of short-range antiferromagnetic correlations in the Kondo lattice

1997

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The Kondo lattice model including nearest-neighbor magnetic exchange interactions is studied here in a mean-field approximation describing both the Kondo state and the intersite magnetic correlations. In the case of antiferromagnetic correlations, our model yields a decrease of the Kondo temperature compared to the one-impurity value, giving, therefore, a ''revisited'' version of the Doniach diagram with a rather flat Kondo temperature in the nonmagnetic case, as observed in several cerium compounds. Our model shows also that short-range magnetic correlations can appear at a temperature clearly larger than the Kondo temperature, as observed in compounds such as CeCu 6 or CeRu 2 Si 2 . ͓S0163-1829͑97͒04642-0͔

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Section: The Theoretical Modelmentioning

confidence: 99%

Revisited Doniach diagram: Influence of short-range antiferromagnetic correlations in the Kondo lattice

1997

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“…For the Kondo part H K , it is based on a generalization of a functional integration approach described by Yoshimori and Sakurai for the single impurity case 34 and by Lacroix and Cyrot for the S = 1/2 Kondo lattice case. 35,36 Here we introduce the following mean field parameters: the average occupation numbers n f iασ , n c iσ and the "Kondo" parameter λ iασ = f † iσ c iασ . We restrict ourselves to uniform solutions in which all these quantities are site and orbital independent, i.e., n f jασ = n f iασ = n f σ , n c iσ = n c σ and λ iασ = λ σ .…”

Section: The Mean Field Approachmentioning

confidence: 99%

Application of theS=1underscreened Anderson lattice model to Kondo uranium and neptunium compounds

et al. 2011

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Magnetic properties of uranium and neptunium compounds showing the coexistence of Kondo screening effect and ferromagnetic order are investigated within the Anderson lattice Hamiltonian with a two-fold degenerate f -level in each site, corresponding to 5f 2 electronic configuration with S = 1 spins. A derivation of the Schrieffer-Wolff transformation is presented and the resulting Hamiltonian has an effective f -band term, in addition to the regular exchange Kondo interaction between the S = 1 f -spins and the s = 1/2 spins of the conduction electrons. The obtained effective Kondo lattice model can describe both the Kondo regime and a weak delocalization of 5f -electron. Within this model we compute the Kondo and Curie temperatures as a function of model parameters, namely the Kondo exchange interaction constant JK , the magnetic intersite exchange interaction JH and the effective f -bandwidth. We deduce, therefore, a phase diagram of the model which yields the coexistence of Kondo effect and ferromagnetic ordering and also accounts for the pressure dependence of the Curie temperature of uranium compounds such as UTe.

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“…The Kondo-lattice model is often studied with only the intrasite Kondo interaction. In principle, both the RKKY magnetic interaction and the Kondo effect can be obtained from the intrasite exchange term [15]. When dealing with approximation schemes, it is hard to obtain both effects starting with the intrasite interaction alone and for this reason, an explicit intersite exchange interaction is usually included in the model Hamiltonian.…”

Section: The Kondo Lattice Modelmentioning

confidence: 99%

“…This is so because the on-site spin-spin correlation s i · S i can be written in terms of the average λ iσ λ i,−σ , and similarly for the intersite correlation using Γ ijσ . Then,with this notation we perform an extended mean-field approximation [15,18] which is presented in full detail in Ref. [16,17].…”

Section: The Kondo Lattice Modelmentioning

confidence: 99%

“…The localized spins of the Kondo lattice, with localized spins S i , interact with conduction electrons and the Kondo effect is studied in the previously described mean field decoupling scheme [15,17]. The spin glass interaction is represented by the quantum Ising Hamiltonian where only interact the z-components of the localized spins [58,59,60].…”

Section: The Kondo Lattice -Spin Glass Competitionmentioning

confidence: 99%

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Theory of the Kondo Lattice: Competition Between Kondo Effect and Magnetic Order

et al. 2007

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Phase diagram of the Kondo lattice

Cited by 317 publications

References 22 publications

Revisited Doniach diagram: Influence of short-range antiferromagnetic correlations in the Kondo lattice

Revisited Doniach diagram: Influence of short-range antiferromagnetic correlations in the Kondo lattice

Application of theS=1underscreened Anderson lattice model to Kondo uranium and neptunium compounds

Theory of the Kondo Lattice: Competition Between Kondo Effect and Magnetic Order

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