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Electric dipole echoes in smoky quartz at very low temperatures

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Abstract

Coherent electric echo magnitudes and decay rates have been studied in gamma-irradiated natural quartz crystals in the 5–25 mK range at a frequency of 360 MHz. The echo experiments indicate the presence of two kinds of paraelectric centers. The dynamics of the two-level systems associated with aluminum centers is discussed. The tunneling centers possess rather long phase memory timeT 2 in the millikelvin temperature range (T 2 ∼10−5 sec at 10 mK) andT 2 is inversely proportional to the temperature.T 2 originates from dipolar interactions between the paraelectric centers, and spectral diffusion governs the decay of both the spontaneous and the stimulated echo.

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References

  1. W. J. De Vos and J. Volger,Physica 47, 13 (1970).

    Google Scholar 

  2. M. Saint-Paul, B. Picot, and R. Nava,Phys. Lett. 66A, 389 (1978).

    Google Scholar 

  3. J. Chaussy, J. Le G. Gilchrist, J. C. Lasjaunias, M. Saint-Paul, and R. Nava,J. Phys. Chem. Solids 40, 1073 (1979).

    Google Scholar 

  4. M. Saint-Paul and R. Nava,J. Phys. (Paris)39, 786 (1978).

    Google Scholar 

  5. G. Frossati and M. Saint-Paul,J. Phys. C: Solid State Phys. 13, 6517 (1980).

    Google Scholar 

  6. J. Kerssen and J. Volger,Phys. Lett. 24A, 657 (1967).

    Google Scholar 

  7. M. Rodriguez, F. Garcia-Golding, and R. Nava,Phys. Lett. 79A, 241 (1980).

    Google Scholar 

  8. R. Nava and M. Rodriguez, in: Proceedings of International Conference on Phonon Physics, Bloomington (1981),J. Phys. (Paris)42C, 6–99 (1981).

    Google Scholar 

  9. M. Rodriguez and R. Nava,Phys. Lett. 88A, 363 (1982).

    Google Scholar 

  10. J. Jäckle, L. Piché, W. Arnold, and S. Hunklinger,J. Non-Cryst. Solids 20, 365 (1976).

    Google Scholar 

  11. L. Piché,J. Phys. (Paris)39, C6–1545 (1978).

    Google Scholar 

  12. L. Bernard, L. Piché, G. Schumacher, and J. Joffrin,J. Low Temp. Phys. 35, 411 (1979).

    Google Scholar 

  13. J. R. Klauder and P. W. Anderson,Phys. Rev. 125, 912 (1962).

    Google Scholar 

  14. J. L. Black and B. I. Halperin,Phys. Rev. B16, 2879 (1977).

    Google Scholar 

  15. R. Maynard, R. Rammel, and R. Suchail,J. Phys. Lett. (Paris)41, L291 (1980).

    Google Scholar 

  16. L. Bernard, M. Saint-Paul, and J. Joffrin,J. Phys. Lett. (Paris)40, L593 (1979).

    Google Scholar 

  17. J. E. Graebner and B. Golding,Phys. Rev. B 19, 964 (1979).

    Google Scholar 

  18. P. W. Anderson, B. I. Halperin, and C. M. Varma,Phil. Mag. 25, 1 (1972); W. A. Phillips,J. Low Temp. Phys. 7, 351 (1972).

    Google Scholar 

  19. L. Bernard, L. Piché, G. Schumacher, and J. Joffrin,J. Phys. (Paris)39, C6–957 (1978).

    Google Scholar 

  20. J. Sussmann,J. Phys. Chem. Solids 28, 1643 (1967).

    Google Scholar 

  21. B. Golding, M. V. Schickfus, S. Hunklinger, and K. Dransfeld,Phys. Rev. Lett. 43, 1817 (1979).

    Google Scholar 

  22. B. Golding and J. E. Graebner, inPhonon Scattering in Condensed Matter, H. J. Maris, ed. (Plenum, New York, 1980), p. 11; and inLow Temperature Properties of Amorphous Solids, W. A. Phillips, ed. (Springer-Verlag, Berlin, 1981).

    Google Scholar 

  23. T. Baumann, M. V. Schickfus, S. Hunklinger, and J. Jäckle,Solid State Commun. 35, 587 (1980).

    Google Scholar 

  24. B. Golding, J. E. Graebner, and W. H. Haemmerle,Phys. Rev. Lett. 44, 899 (1980).

    Google Scholar 

  25. R. Suchail, Thèse, Grenoble (December 1980).

  26. W. A. Phillips,Phil. Mag. B43, 747 (1981).

    Google Scholar 

  27. K. Knopp and W. Kanzig,Phys. Kondens. Mater. 15, 201 (1972).

    Google Scholar 

  28. H. F. Hess and K. De Conde,Phys. Rev. B 24, 7419 (1981).

    Google Scholar 

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Saint-Paul, M., Joffrin, J. Electric dipole echoes in smoky quartz at very low temperatures. J Low Temp Phys 49, 195–212 (1982). https://doi.org/10.1007/BF00681587

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  • DOI: https://doi.org/10.1007/BF00681587

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