Unconventional emergence of elastic softening induced by magnetic fields in the unusual heavy-fermion compound PrFe<sub>4</sub>P<sub>12</sub>

Nakanishi, Y.; Yoshizawa, Michito; Yamaguchi, Takashi; Hazama, Hirofumi; Nemoto, Y.; Gotô, Terutaka; Matsuda, Tatsuma D.; Sugawara, Hitoshi; Sato, Hideyuki

doi:10.1088/0953-8984/14/45/101

Cited by 6 publications

(4 citation statements)

References 36 publications

(29 reference statements)

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“…One might speculate about the origin of this deviation due to Kondo effect, reminiscent of the similar behavior observed in PrFe 4 P 12 and PrInAg 2 . [23][24][25] Again, our results show the reasonable agreement with calculation based on the cooperative effect of the CEF and Zeeman effect under external magnetic fields, in particular, above 5 T.…”

Section: Discussionsupporting

confidence: 89%

Elastic constants of the single crystalline Yb based heavy-fermion compoundYbCo2Zn20

et al. 2009

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Ultrasonic measurements have been carried out on the heavy-fermion compound YbCo 2 Zn 20 to investigate the elastic properties and the 4f electric state of Yb ion. A strong temperature dependence at low temperature was found in elastic constants C 11 , ͑C 11 − C 12 ͒ / 2, and C 44 of YbCo 2 Zn 20 . Furthermore, the elastic constants are significantly magnetic field dependent at low temperatures. These experimental facts strongly suggest an importance of the highly degenerated 4f low-lying level scheme of Yb ions under a crystalline electric field effect, probably leading to such an extremely large Sommerfeld coefficient of YbCo 2 Zn 20 . We argue that the near spherical distribution of neighboring Zn atoms centered at the Yb site is an essential requirement for the formation of such an exotic heavy-fermion system.

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Section: Discussionsupporting

confidence: 89%

Elastic constants of the single crystalline Yb based heavy-fermion compoundYbCo2Zn20

et al. 2009

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“…102,103) However, a À 1g -type scalar ordering also causes a sharp anomaly in the elastic constants C 11 À C 12 and C 44 at the transition as discussed in §4.6. Furthermore, the behavior of the elastic constants under a finite magnetic field can also be understood in terms of the scalar order scenario.…”

Section: 103)mentioning

confidence: 94%

“…Ultrasonic measurements 102,103) on PrFe 4 P 12 revealed that the elastic constants C 11 , ðC 11 À C 12 Þ=2, and C 44 show a clear anomaly at T 0 , which becomes larger under a magnetic field. 102,103) The temperature dependence of the elastic constant ðC 11 À C 12 Þ=2 is shown in Fig.…”

Section: Elastic Anomalymentioning

confidence: 99%

Multipole Orders and Fluctuations in Strongly Correlated Electron Systems

2009

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In this paper we review experimental and theoretical results on higher electronic multipoles in solids with strong correlations. Recent experiments and their theoretical interpretation have confirmed the ordering of octupoles and even higher multipoles in rare-earth and actinide compounds with f electrons. The concept of multipoles is critically examined in point groups where spherical tensors of different ranks mix. Using a phenomenological approach, we demonstrate how linear and nonlinear couplings of different multipoles lead to rich phase diagrams and anomalies in physical observables. As actual representative systems, we first consider Ce x La 1Àx B 6 , for which resonant X-ray scattering probed the octupole order for the first time, and NpO 2 , where quadrupoles induced by the octupole order have been observed. We then consider a class of compounds called skutterudites as the most convenient system for systematic study. Particular emphasis is placed on the ordering of scalar components from fourth-rank tensors (hexadecapoles) and sixth-rank tensors (hexacontatetrapoles). A comparison of a skutterudite PrFe 4 P 12 and URu 2 Si 2 is made, where much fewer carriers remain in the ordered states than in the disordered phase. The even number (two) of f electrons per site in Pr 3þ or U 4þ makes the system free from the Kramers degeneracy, in contrast to standard models for Mott transitions. Hence, it is pointed out that multipole orders, particularly the scalar order, should provide a new route for studying the dichotomy between the itinerant and localized behaviors of electrons.

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“…We take the value for C 3 from experiment, which gives C (0) 11 − C (0) 12 = 70GPa at T = 4.2K, 8 and choose T Q = 0.4K. Then we obtain the values for the combinations B 2 /a Q and B 2 /c ψQ from the fit of the experimental data 16 as Around the phase transition we make series expansion of expressions ( 43) and (44) in terms of (T − T 0 ), and obtain the change δC i j of elastic constants as…”

Section: Case Of Zero Magnetic Fieldmentioning

confidence: 99%

Phenomenological Theory of a Scalar Electronic Order: Application to Skutterudite PrFe₄P₁₂

Kiss

Kuramoto

2008

J. Phys. Soc. Jpn.

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By phenomenological Landau analysis, it is shown that a scalar order parameter with the pointgroup symmetry Γ 1g explains most properties associated with the phase transition in PrFe 4 P 12 at 6.5 K. The scalar-order model reproduces magnetic and elastic properties in PrFe 4 P 12 consistently such as (i) the anomaly of the magnetic susceptibility and elastic constant at the transition temperature, (ii) anisotropy of the magnetic susceptibility in the presence of uniaxial pressure, and (iii) the anomaly in the elastic constant in magnetic field. An Ehrenfest relation is derived which relates the anomaly of the magnetic susceptibility to that of the elastic constant at the transition.

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Unconventional emergence of elastic softening induced by magnetic fields in the unusual heavy-fermion compound PrFe₄P₁₂

Cited by 6 publications

References 36 publications

Elastic constants of the single crystalline Yb based heavy-fermion compoundYbCo2Zn20

Elastic constants of the single crystalline Yb based heavy-fermion compoundYbCo2Zn20

Multipole Orders and Fluctuations in Strongly Correlated Electron Systems

Phenomenological Theory of a Scalar Electronic Order: Application to Skutterudite PrFe₄P₁₂

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Unconventional emergence of elastic softening induced by magnetic fields in the unusual heavy-fermion compound PrFe4P12

Cited by 6 publications

References 36 publications

Elastic constants of the single crystalline Yb based heavy-fermion compoundYbCo2Zn20

Elastic constants of the single crystalline Yb based heavy-fermion compoundYbCo2Zn20

Multipole Orders and Fluctuations in Strongly Correlated Electron Systems

Phenomenological Theory of a Scalar Electronic Order: Application to Skutterudite PrFe4P12

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Unconventional emergence of elastic softening induced by magnetic fields in the unusual heavy-fermion compound PrFe₄P₁₂

Phenomenological Theory of a Scalar Electronic Order: Application to Skutterudite PrFe₄P₁₂