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Tunneling states in amorphous solids

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Abstract

A linear temperature dependence of the specific heat in amorphous solids at very low temperatures is shown to follow from an ionic tunneling model. Moreover, this model predicts both the observed temperature dependence and the magnitude of the thermal conductivity and also explains the anomalous results obtained for the phonon free path by means of stimulated Brillouin scattering.

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References

  1. R. C. Zeller and R. O. Pohl,Phys. Rev. B4, 2029 (1971).

    Google Scholar 

  2. C. L. Choy, R. G. Hunt, and G. L. Salinger,J. Chem. Phys. 52, 3629 (1970).

    Google Scholar 

  3. A. A. Antoniou and J. A. Morrison,J. Appl. Phys. 36, 1873 (1965).

    Google Scholar 

  4. D. Redfield,Phys. Rev. Letters. 27, 730 (1971).

    Google Scholar 

  5. V. Narayanamurti and R. O. Pohl,Rev. Mod. Phys. 42, 201 (1970).

    Google Scholar 

  6. W. A. Phillips,Proc. Roy. Soc. (London)A319, 565 (1970).

    Google Scholar 

  7. P. W. Anderson, B. I. Halperin, and C. M. Varma, to be published.

  8. A. E. Clark and R. E. Starkna,Phys. Chem. Glasses 3, 121 (1962).

    Google Scholar 

  9. A. J. Leadbetter,Phys. Chem. Glasses 9, 1 (1968).

    Google Scholar 

  10. R. Pirc, B. Zeks, and P. Gosar,J. Phys. Chem. Solids 27, 1219 (1966).

    Google Scholar 

  11. J. A. Sussman,Phys. Kond. Mater. 2, 146 (1964).

    Google Scholar 

  12. See, for example,Noncrystalline Solids (John Wiley and Sons, New York, 1960).

  13. W. P. Mason,Physical Acoustics and the Properties of Solids (Van Nostrand, Princeton, New Jersey, 1958), p. 301.

    Google Scholar 

  14. W. A. Phillips,Phys. Rev. B 3, 12 (1971).

    Google Scholar 

  15. W. Heinicke, G. Winterling, and K. Dransfield,J. Acoust. Soc. Amer. 49, 954 (1971).

    Google Scholar 

  16. Fulde and WagnerPhys. Rev. Letters,27, 1280, (1971).

    Google Scholar 

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Work supported in part by the Center for Materials Research, Stanford University, and by the Research Corporation.

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Phillips, W.A. Tunneling states in amorphous solids. J Low Temp Phys 7, 351–360 (1972). https://doi.org/10.1007/BF00660072

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  • DOI: https://doi.org/10.1007/BF00660072

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