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Tunneling states in amorphous solids

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. 1.

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

  2. 2.

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

  3. 3.

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

  4. 4.

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

  5. 5.

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

  6. 6.

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

  7. 7.

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

  8. 8.

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

  9. 9.

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

  10. 10.

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

  11. 11.

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

  12. 12.

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

  13. 13.

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

  14. 14.

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

  15. 15.

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

  16. 16.

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

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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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Keywords

  • Thermal Conductivity
  • Magnetic Material
  • Free Path
  • Linear Temperature
  • Stimulate Brillouin Scattering