Specific heat of the degenerate Kondo model: Exact results in the presence of crystal fields

Desgranges, H.-U.; Rasul, J.W.

doi:10.1103/physrevb.36.328

Cited by 39 publications

(15 citation statements)

References 45 publications

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“…The ratio A 4 /A 2 serves as an additional parameter. The low temperature side of the curves shows a similar behavior as in the published results 13 for A 4 = A 2 . For increasing values of A 2 a shoulder develops into a peak associated with the Kondo resonance of the effective spin-1/2 system at low temperatures.…”

Section: Results For the Specific Heatsupporting

confidence: 85%

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Crystal fields and Kondo effect: Specific heat for Cerium compounds

Desgranges¹

2014

Physica B: Condensed Matter

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The thermodynamic Bethe ansatz equations for the N = 6 Coqblin-Schrieffer model with crystal fields have been solved numerically. The realistic case of three Kramers doublets with arbitrary splittings has been studied for the first time. The specific heat has been calculated for representative combinations of the ionic energy splittings providing ample material for comparison with experimental results for Cerium impurities and compounds.

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Section: Results For the Specific Heatsupporting

confidence: 85%

“…case (c) the results of ref. 13 have been recovered for the limiting values g n (r) and by extension for the specific heat as well.…”

Section: Results For the Specific Heatmentioning

confidence: 81%

Crystal fields and Kondo effect: Specific heat for Cerium compounds

Desgranges¹

2014

Physica B: Condensed Matter

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“…The result is shown in Fig. 7 for xϭ0.4 and xϭ0.8 where a broad and asymmetrical maximum is observed around 14 K. Desgranges and Rasul 13,14 discussed an analogous situation where the Kondo and CF contributions are quite close. This is probably the reason for the discrepancy between calculation and experimental data for our samples.…”

Section: Specific Heatmentioning

confidence: 84%

Change of the Kondo regime inCePd2Al3induced by chemical substitution: Verification of the Doniach diagram

Medina¹,

Rojas²,

Gandra³

et al. 1999

Phys. Rev. B

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We report on measurements of specific heat and resistivity for the series of compounds (La 1Ϫx Ce x )Pd 2 Al 3 , for 0рxр1. The chemical substitution with La promotes an increase of the unit cell volume, which is responsible for the changes observed for the ground state of the system. The resistivity results show two distinct behaviors: the Kondo single impurity for low Ce concentration and the Kondo lattice regime for the other end. From the magnetic specific heat results we estimated the Kondo temperature (T K ). Our results show that T K increases monotonously with Ce concentration but with a strong variation of the Néel temperature. We also estimated the s-f exchange parameter and density of states for the whole series of compounds. A Doniach type diagram is presented including the literature data obtained from pressure experiments.

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“…Thus, the strong decrease of T K ( x ) in Ce 1− x La x TiGe switch this system from a $T_{\rm K} \approx \Delta _{{\rm CF}} - N = 6$ situation to a standard N = 2 with $T_{\rm K} \ll \Delta _{{\rm CF}}$ . Here one should notice that theoretical analysis and calculation for the Kondo model predict a strong decrease in T K when N is reduced 6, 7. In a case like Ce 1− x La x TiGe this should lead to a positive feedback enhancing the decrease of T K .…”

Section: Discussionmentioning

confidence: 89%

Tuning ground state degeneracy and quantum criticality in Ce_1−xLa_xTiGe

Sereni

Berisso

Canales

et al. 2010

Physica Status Solidi (b)

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We have tuned the paramagnetic heavy Fermion (HF) system CeTiGe to a more magnetic state and toward quantum criticality (QC) by partially substituting La for Ce. The induced volume expansion leads to a pronounced decrease of the Kondo temperature (T K ), from %50 K in pure CeTiGe to less than 4 K at large La content. Since the former value is of the order of the crystal field splitting, while the latter is well below, the systems evolves from a large degeneracy N ¼ 6 Kondo system at x ¼ 0 to a conventional N ¼ 2 Kondo system at x ! 0:8. There, the first excited crystal field doublets become apparent in the T dependence of the specific heat C P (T) at an excitation energy D CF % 30 K. The reduction of the degeneracy is expected to enhance the decrease of T K , explaining the strong reduction by more than one order of magnitude observed in this system. The decrease of T K drives the system toward QC as evidenced by a divergence of C P (T)/T and x(T) toward low temperatures in the x ¼ 0:8 sample.

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Specific heat of the degenerate Kondo model: Exact results in the presence of crystal fields

Cited by 39 publications

References 45 publications

Crystal fields and Kondo effect: Specific heat for Cerium compounds

Crystal fields and Kondo effect: Specific heat for Cerium compounds

Change of the Kondo regime inCePd2Al3induced by chemical substitution: Verification of the Doniach diagram

Tuning ground state degeneracy and quantum criticality in Ce_1−xLa_xTiGe

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Specific heat of the degenerate Kondo model: Exact results in the presence of crystal fields

Cited by 39 publications

References 45 publications

Crystal fields and Kondo effect: Specific heat for Cerium compounds

Crystal fields and Kondo effect: Specific heat for Cerium compounds

Change of the Kondo regime inCePd2Al3induced by chemical substitution: Verification of the Doniach diagram

Tuning ground state degeneracy and quantum criticality in Ce1−xLaxTiGe

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Tuning ground state degeneracy and quantum criticality in Ce_1−xLa_xTiGe