Influence of the Crystalline Field on the Kondo Effect of Alloys and Compounds with Cerium Impurities

Cornut, B.; Coqblin, B.

doi:10.1103/physrevb.5.4541

Cited by 686 publications

(328 citation statements)

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“…20 Although the calculation is lengthy and cannot be reduced to a small number of equations, all the different steps of the calculation are well described in Ref. 20. This allows us to determine the pressure evolution of the magnetic exchange energy J ex between conduction and localized 4f electrons.…”

Section: Resultsmentioning

confidence: 99%

“…20 Although the calculation is lengthy and cannot be reduced to a small number of equations, all the different steps of the calculation are well described in Ref. 20.…”

Section: Resultsmentioning

confidence: 99%

“…|υ| is expected to be of the order of |J ex | and we have chosen |υ| = 0.2 eV, independent of pressure (a similar value is taken in other cerium compounds). 20,29,43 Finally, since we fit our data only above 20 K, we take the gap energy of the first excited level due to the CEF effect fixed to 1 = 14 K. The remaining free parameters of the calculation are therefore the exchange energy J ex , the cutoff energy D, and the gap energy 2 due to the CEF effect. The results of the fit for different pressures are represented as dashed lines in Fig.…”

Section: Resultsmentioning

confidence: 99%

“…The physical constants and assumptions are given in Ref. 20, and the free parameters of the calculation are the following: a direct scattering potential υ, the matrix element of mixing between 4f and conduction electrons at the Fermi level V k F , the density of states at the Fermi energy E F for the one spin direction n(E F ), the energy of the ground state E 0 measured from E F , the energy gap between the ground state and the excited CEF levels 1 and 2 , and a cutoff energy D. In order to reduce the number of fitting parameters, we assume that all the magnetic exchange energies J MM are equal (and referred to as J ex ). This removes the dependence on V k F and E 0 .…”

Section: Resultsmentioning

confidence: 99%

“…18 In CeCd 11 , E 1 = 17.5 K. 14,19 The CEF effect tends to reduce the single ion Kondo temperature by reducing the degeneracy of the ground state. [20][21][22] Given the low ordering temperature, as well as the low CEF splitting in CeZn 11 , pressure may result in significant changes in the low-temperature state, and ultimately is expected to lead to a quantum phase transition, possibly even a quantum critical point. In this paper, we present the results of measurements of electrical resistivity as a function of temperature and applied magnetic field under applied pressures up to 4.9 GPa.…”

Section: Introductionmentioning

confidence: 99%

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Electrical resistivity study of CeZn11: Magnetic field and pressure phase diagram up to 5 GPa

et al. 2013

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Thorough resistivity measurements on single crystals of CeZn11 under pressure p and magnetic field H are presented. At ambient pressure, CeZn11 orders antiferromagnetically at TN=2 K. The pressure dependence of the resistivity reveals an increase of the Kondo effect. We determine the pressure evolution of the magnetic exchange interaction between conduction and localized 4f electrons. It qualitatively reproduces the pressure evolution of the magnetic ordering temperature TO1 (with TO1=TN at ambient pressure). In addition to TO1, a new anomaly TO2appears under pressure. Both anomalies are found to increase with applied pressure up to 4.9 GPa, indicating that CeZn11 is far from a pressure induced quantum critical point. Complex T-H phase diagrams are obtained under pressure which reveal the instability of the ground state in this compound. Keywords Physics and Astronomy Disciplines Condensed Matter Physics CommentsThis article is from Physical Review B 88 (2013) Thorough resistivity measurements on single crystals of CeZn 11 under pressure p and magnetic field H are presented. At ambient pressure, CeZn 11 orders antiferromagnetically at T N = 2 K. The pressure dependence of the resistivity reveals an increase of the Kondo effect. We determine the pressure evolution of the magnetic exchange interaction between conduction and localized 4f electrons. It qualitatively reproduces the pressure evolution of the magnetic ordering temperature T O 1 (with T O 1 = T N at ambient pressure). In addition to T O 1 , a new anomaly T O 2 appears under pressure. Both anomalies are found to increase with applied pressure up to 4.9 GPa, indicating that CeZn 11 is far from a pressure induced quantum critical point. Complex T -H phase diagrams are obtained under pressure which reveal the instability of the ground state in this compound.

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Section: Resultsmentioning

confidence: 99%

“…20 Although the calculation is lengthy and cannot be reduced to a small number of equations, all the different steps of the calculation are well described in Ref. 20.…”

Section: Resultsmentioning

confidence: 99%