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)


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].


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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    For recent review articles see: “Amorphous Solids: Low-Temperature Properties”; W.A. Phillips, ed.; Springer Verlag, Heidelberg 1981.Google Scholar
  2. 2.
    J. Jäckle; Z. Physik 257, 121 (1972)Google Scholar
  3. 3.
    M.T. Loponen, R.C. Dynes, V. Narayanamurti, J.P. Garno; Phys. Rev. B25, 1161 (1982)ADSGoogle Scholar
  4. M. Meissner, K. Spitzmann; Phys.Rev.Lett. 46, 265 (1981)CrossRefADSGoogle Scholar
  5. J. Zimmermann, G. Weber; Phys.Lett. 86A, 32 (1981)ADSGoogle Scholar
  6. 4.
    J.E. Lewis, J.C. Lasjaunias; J. de PFÿsique C6 39, C6–965 (1978)Google Scholar
  7. 5.
    H. Tietje, M.v. Schickfus, E. Gmelin; Physique C9, 43, C9–529 (1982)Google Scholar
  8. 6.
    A.K. Raychaudhuri, S. Hunklinger; J. de Physique C9, 47 C9–485 (1982)Google Scholar
  9. 7.
    S. Hunklinger, W. Arnold; in “Physical Acoustics”, R.N. Thurston, W.P. Mason eds., Vol.12, p.155 (Academic Press, New York 1976)Google Scholar
  10. 8.
    G. Bellessa, O. Bethoux; Phys.Lett.62A, 125 (1977); the value given in this paper has to be increased by a1ctor of two, see G. Weiss, S. Hunklinger, H. v. Löhneysen; Physica 109 & 1108, 1946 (1982)Google Scholar

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

Personalised recommendations