Abstract
The susceptibility of a two-level system coupled to a phonon heat bath is calculated by setting up its equation of motion and expanding the memory function (or self energy) and the inhomogeneity to second order in the coupling potential. Averaging over disorder yields attenuation and variation with temperature of sound velocity, which are compared to previous results obtained in the framework of the Bloch equations. The relaxation time approximation is avoided; there are new terms in both relaxation and resonant contributions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Anderson, P.W., Halperin, B.I., Varma, C.: Philos. Mag.25, 1 (1972)
Phillips, W.A.: J. Low Temp. Phys.7, 351 (1972)
Jäckle, J.: Z. Phys.257, 212 (1972)
Jäckle, J., Piché, L., Arnold, W., Hunklinger, S.: J. Non-Cryst. Solids20, 365 (1976)
Piché, L., Maynard, R., Hunklinger, S., Jäckle, J.: Phys. Rev. Lett.32, 1426 (1974)
Hunklinger, S., Arnold, W.: In: Physical acoustics, vol. 12, Thurston, R.N., Mason, W.P. (eds.). New York: Academic Press 1976
Hunklinger, S., Raychaudhuri, A.K.: In: Progress in low temperature physics, vol. IX, Brewer, D.F. (ed). Amsterdam: Elsevier 1986
Black, J.L., Halperin, B.I.: Phys Rev. B16, 2879 (1977)
Black, J.L.: In: Glassy metals I. Güntherodt, H.J., Beck, H. (eds.), Berlin Heidelberg New York: Springer 1981
Esquinazi, P., Ritter, H.M., Neckel, H., Weiss, G., Hunklinger S.: Z. Phys. B-Condensed Matter64, 81 (1986)
Kagan, Yu., Prokof'ev, N.V.: Solid State Commun.11 1385 (1988)
Hüttemann, A.: Diplomarbeit Heidelberg 1991 (unpublished)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Würger, A. Ultrasound propagation in dielectric glasses. Z. Physik B - Condensed Matter 85, 93–98 (1991). https://doi.org/10.1007/BF01387792
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01387792