Hall effect and thermoelectric power in the systems exhibiting the non-Fermi liquid behaviors

Sato, Hideyuki; Urakawa, J.; Aoki, Yuji; Namiki, Takahiro; Sugawara, Hitoshi; Ōnuki, Yoshichika; Arima, Hiroshi; Sakakibara, Toshiro

doi:10.1016/s0921-4526(98)00815-1

Cited by 6 publications

(3 citation statements)

References 4 publications

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“…Unfortunately, no systematic study to be compared has been reported on the TEP related with the NFL behaviours except one on Y 1−x U x Ru 2 Si 2 . A sharp minimum in TEP reported on that compound near 8 K [20], where NFL behaviours are evident in the other physical properties, might have same origin [21]. In order to understand TEP related with NFL, more systematic studies on the compounds exhibiting NFL behaviours are necessary.…”

Section: Thermoelectric Powermentioning

confidence: 93%

Transport properties in the filled-skutterudite compounds RERu₄Sb₁₂(RE La, Ce, Pr and Nd); an exotic heavy fermion semimetal CeRu₄Sb₁₂

Abé¹,

Sato²,

Matsuda³

et al. 2002

J. Phys.: Condens. Matter

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We report transport measurements on high quality RERu4Sb12 single crystals under magnetic fields up to 14 T and temperatures down to 0.3 K. CeRu4Sb12 exhibits anomalous features in all the transport properties, compared to those for RE = La, Pr and Nd. The thermoelectric power (TEP) shows a huge positive peak over 100 μ V K−1 near 90 K. The Hall coefficient, ∼2.0 × 10−9m3 C−1 at room temperature, exhibits a drastic increase below ∼100 K to RH ≈ 5.2× 10−8m3 C−1 at 0.3 K. At low temperatures below ∼3 K, the TEP exhibits an apparent anomaly correlated with the non-Fermi-liquid behaviour reported in the resistivity and specific heat. We have succeeded in observing Shubnikov–de Haas oscillations both in the magnetoresistance and Hall effect. This result along with the Hall effect suggests small semimetallic Fermi surfaces with highly correlated electrons at low temperatures in contrast with the large FS for LaRu4Sb12. NdRu4Sb12 exhibits anomalies suggesting a ferromagnetic ground state at around 1.4 K above which the resistivity exhibits a negative temperature coefficient up to 6 K.

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Section: Thermoelectric Powermentioning

confidence: 93%

Transport properties in the filled-skutterudite compounds RERu₄Sb₁₂(RE La, Ce, Pr and Nd); an exotic heavy fermion semimetal CeRu₄Sb₁₂

Abé¹,

Sato²,

Matsuda³

et al. 2002

J. Phys.: Condens. Matter

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“…Resistivity, susceptibility, and specific-heat data are summarized here (see also Table II). [Hall-effect measurements (Sato et al, 1999) on U 0.2 Y 0.8 Pd 3 indicate that the Hall coefficient R H behaves as Ϫlog T over the whole temperature range (2-300 K) of measurement, while optical reflectivity measurements find a far-infrared absorption that seems to be characteristic of the several non-Fermiliquid systems in which such measurements exist (Degiorgi, 1999). ]…”

Section: A U X Y 1ϫx Pd 3 (I)mentioning

confidence: 99%

Addendum: Non-Fermi-liquid behavior ind- andf-electron metals

2006

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A relatively new class of materials has been found in which the basic assumption of Landau Fermi-liquid theory-that at low energies the electrons in a metal should behave essentially as a collection of weakly interacting particles-is violated. These ''non-Fermi-liquid'' systems exhibit unusual temperature dependences in their low-temperature properties, including several examples in which the specific heat divided by temperature shows a singular log T temperature dependence over more than two orders of magnitude, from the lowest measured temperatures in the milliKelvin regime to temperatures over 10 K. These anomalous properties, with their often pure power-law or logarithmic temperature dependences over broad temperature ranges and inherent low characteristic energies, have attracted active theoretical interest from the first experimental report in 1991. This article first describes the various theoretical approaches to trying to understand the source of strong temperature-and frequency-dependent electron-electron interactions in non-Fermi-liquid systems. It then discusses the current experimental body of knowledge, including a compilation of data on non-Fermi-liquid behavior in over 50 systems. The disparate data reveal some interesting correlations and trends and serve to point up a number of areas where further theoretical and experimental work is needed. CONTENTS I. Introduction 798 II. Theory 799 A. The single-impurity multichannel Kondo model and non-Fermi liquids 799 B. Quantum critical point theories 800 1. Scaling analysis at a quantum critical point 801 2. Spin-fluctuation theory of non-Fermi-liquid behavior 802 a. Millis and Hertz 802 b. Self-consistent renormalization model 802 3. Local deviation from Fermi-liquid behavior 804 C. Disorder-induced non-Fermi-liquid behavior theories 804 III. Experiment 806 A. Doped systems 807 1. Antiferromagnetism ''distant'' in the phase diagram 807 a. U x Y 1Ϫx Pd 3 (I) 808 b. UCu 5Ϫx Pd x (I) 820 c. UCu 5Ϫx Pt x (II) 822 d. UCu 4 Ni (II) 823 e. UCu 5Ϫx Al x (III) 823 f. Ce 1Ϫx La x Cu 2 Si 2 (I) 824 g. (U x La 1Ϫx) 2 Zn 17 (I) 824 h. U 2 Cu 17Ϫx Al x (I) 825 i. U 1Ϫx Y x Al 2 (I) 825 j. U x Th 1Ϫx Ru 2 Si 2 , xр0.07 (I) 826 k. U x Y 1Ϫx Ru 2 Si 2 , xр0.07 (III) 826 l. U x Th 1Ϫx Pt 2 Si 2 , xр0.07 (III) 826 m. U x Th 1Ϫx Pd 2 Si 2 (I?) 826 n. U 1Ϫx M x Pt 3 (I) 827 o. Ce 1Ϫx Th x RhSb (I?) 827 p. URu 2Ϫx Re x Si 2 (III) 827 q. U 2 Pd 1Ϫx Si 3ϩx (II) 828 r. Ce 0.1 La 0.9 Pd 2 Al 3 (III) 828 s. U 0.1 M 0.9 In 3 , MϭY,Pr,La (I) 828 t. CePt 0.96 Si 1.04 (I?) 828

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“…This dependence may be associated with the unconventional behaviour observed previously in the specific heat [3]. Nevertheless, one may recall that there are few experimental reports on thermoelectric power of NFL systems [13][14][15], but none of them does not show a power T 1/2 law expected for the twochannel Kondo effect yet.…”

Section: Resultsmentioning

confidence: 62%

Unusual Electron Transport Properties of U_0.05Y_0.95Al₂

Tran

2008

Acta Phys. Pol. A

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We report a detailed study of the resistivity (ρ(T )) and thermoelectric power (S(T )) of the alloy U 0.05 Y 0.95 Al 2 , which crystallises in the cubic MgCu2-type structure. The resistivity is found to follow ρ(T ) ∝ ln T between 15 and 40 K and a quasi-linear temperature dependence −T 1.16 for T < 10 K. At a magnetic field of 9 T a Kondo-type maximum occurs in the resistivity data at 7 K, below which the Fermi liquid behaviour (ρ(T ) ∝ T 2 ) is recovered. S(T )/T shows a T 0.5 power law for T < 12 K. The low-temperature unconventional features observed in U 0.05 Y 0.95 Al 2 are presumably due to the presence of the two-channel Kondo effect.

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Hall effect and thermoelectric power in the systems exhibiting the non-Fermi liquid behaviors

Cited by 6 publications

References 4 publications

Transport properties in the filled-skutterudite compounds RERu₄Sb₁₂(RE La, Ce, Pr and Nd); an exotic heavy fermion semimetal CeRu₄Sb₁₂

Transport properties in the filled-skutterudite compounds RERu₄Sb₁₂(RE La, Ce, Pr and Nd); an exotic heavy fermion semimetal CeRu₄Sb₁₂

Addendum: Non-Fermi-liquid behavior ind- andf-electron metals

Unusual Electron Transport Properties of U_0.05Y_0.95Al₂

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Hall effect and thermoelectric power in the systems exhibiting the non-Fermi liquid behaviors

Cited by 6 publications

References 4 publications

Transport properties in the filled-skutterudite compounds RERu4Sb12(RE La, Ce, Pr and Nd); an exotic heavy fermion semimetal CeRu4Sb12

Transport properties in the filled-skutterudite compounds RERu4Sb12(RE La, Ce, Pr and Nd); an exotic heavy fermion semimetal CeRu4Sb12

Addendum: Non-Fermi-liquid behavior ind- andf-electron metals

Unusual Electron Transport Properties of U0.05Y0.95Al2

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Product

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Transport properties in the filled-skutterudite compounds RERu₄Sb₁₂(RE La, Ce, Pr and Nd); an exotic heavy fermion semimetal CeRu₄Sb₁₂

Transport properties in the filled-skutterudite compounds RERu₄Sb₁₂(RE La, Ce, Pr and Nd); an exotic heavy fermion semimetal CeRu₄Sb₁₂

Unusual Electron Transport Properties of U_0.05Y_0.95Al₂