Abstract

Quantitative studies of ultrasound absorption in the heavy-fermion state of ${\mathrm{UPt}}_{3}$ and ${\mathrm{UBe}}_{13}$ are reported. The magnitude of the absorption due to electrons in the normal state is not enhanced compared to that of ordinary metals, indicating a cancellation of the mass enhancement by a reduction of the electron-phonon coupling parameter. This implies that the mass enhancement is described by a different Landau Fermi-liquid parameter than in $^{3}\mathrm{He}$. The ${T}^{2}$ variation of the normal-state sound velocity at lowest temperatures is consistent with the large electronic specific heat.

Highlights

  • The formation of the heavy-fermion state out of what appears at high temperatures to be local magnetic moments embedded regularly in a metallic matrix is the subject of intensive current research

  • The question arises whether other properties of the heavy ferrnions are enhanced. One of these is the attenuation of sound, a particular type of transport property, which is determined by the electron-phonon coupling strength and the effective mass of the quasiparticles

  • The main result is that the magnitude of the ultrasound attenuation is the same as in ordinary metals, and not enhanced by

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Summary

Rapid Communications

The question arises whether other properties of the heavy ferrnions are enhanced One of these is the attenuation of sound, a particular type of transport property, which is determined by the electron-phonon coupling strength and the effective mass of the quasiparticles. This implies, as discussed by karma, ' a compensation of the mass enhancement by a reduction of the electronphonon coupling strength and places severe constraints on any theories for the heavy-fermion state It is the Landau parameter Fo which characterizes the mass enhancement, and not Fl as in the case of the well-studied Fermi-liquid 'He. The experiments on UPt3 were performed on a single crystal grown in an ultrahigh-vacuum float-zone apparatus from a previously synthesized ingot. MHz this gives ql 3.5 x 10 The experimental quantity to be compared with other metals is the ql && 1 limiting at-

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It also illustrates the necessity to study the attenuation
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