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Low-Frequency Elastic Loss in Dielectric and Metallic Glasses at Low Temperature

  • H. Tietje
  • M. v. Schickfus
  • E. Gmelin
  • H.-J. Güntherodt
Conference paper
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 51)

Abstract

Since a few years it is a well established fact that the low-temperature properties of amorphous dielectrics and metals are largely determined by low-energy tunneling systems [1]. To agree with the observed anomalies in the thermal and acoustic properties, a particular distribution of the parameters of the tunneling centers has been assumed. The tunneling systems are characterized by the asymmetry Δ of the potential wells and by the tunnel splitting Δ0 due to the overlap of the wavefunctions in the two wells. Their coupling to phonons or conduction electrons leads to a relaxation time τ = τ (E, Δ0). The distribution of the parameters Δ and Δ0 can be transformed into a distribution of the relaxation times \( p(E, {\tau ^{ - 1}}) = 1/2\bar p{\tau ^{ - 1}}{(1 - \tau /{\tau _{\min }})^{ - 1/2}}[2] \) , where E=(Δ22)1/2 is the energy of the tunneling center and τmin the shortest relaxation0 time for a given energy reached at Δ0=E. This distribution diverges for τ→τmin and τ→∞, so that for a finite density of states \( n(E) = \int {\bar p} (E, {\tau ^{ - 1}})d{\tau ^{ - 1}} \) some kind of a cutoff has to be introduced for large values of τ or, equivalently, for small values of Δ0. Until now, however, this cutoff value of τwas not known. The time dependence of the specific heat [3] has shown only qualitatively that large values of τ must exist. Based on measurements of the specific heat it has been argued that Δ0, min ≈15 mK [4].

Keywords

Metallic Glass Wheatstone Bridge Tunneling Model Tunneling System Vitreous Silica 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • H. Tietje
    • 1
  • M. v. Schickfus
    • 2
  • E. Gmelin
    • 1
  • H.-J. Güntherodt
    • 3
  1. 1.Max-Planck-Institut für FestkörperforschungStuttgart 80Fed. Rep. of Germany
  2. 2.Institut für Angewandte Physik IIUniversität HeidelbergHeidelbergFed. Rep. of Germany
  3. 3.Institut für PhysikUniversität BaselBaselSchweiz

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