Second-sound velocities in hexagonal crystals

David Singh; Y. P. Varshni

doi:10.1103/PhysRevB.25.7376

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Second-sound velocities in hexagonal crystals

David Singh and Y. P. Varshni

Department of Physics, University of Ottawa, Ottawa, KIN 6N5 Canada

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Phys. Rev. B 25, 7376 – Published 15 June, 1982

DOI: https://doi.org/10.1103/PhysRevB.25.7376

Abstract

The velocities of "drifting" and "driftless" second sound at very low temperatures are calculated for 12 dielectrics having hexagonal crystal structure. The variation of the two second-sound velocities with density is studied for hcp ${}^{4}{He}$ . It is shown that the discrepancy pointed out by Maris between the experimental and theoretical values of the drifting second-sound velocities in hcp ${}^{4}{He}$ can be reduced if another set of elastic constants is used in the calculations.

References (19)

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H. Beck, in Dynamical Properties of Solids, edited by G. K. Horton and A. A. Maradudin (North-Holland/American Elsevier, New York, 1975), Vol. II, p. 205-284 especially pp. 227-234
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[c1] V. Peshkov, J. Phys. (Moscow) 8, 381 (1944)

[c2] V. Peshkov, Report on an International Conference on Fundamental Particles and Low Temperature Physics (The Physical Society, London, 1947), Vol. II, p. 19

[c3] C. C. Ackerman, B. Bertman, H. A. Fairbank, and R. A. Guyer, Phys. Rev. Lett. 16, 789 (1966)

[c4] H. Beck, in Dynamical Properties of Solids, edited by G. K. Horton and A. A. Maradudin (North-Holland/American Elsevier, New York, 1975), Vol. II, p. 205-284 especially pp. 227-234

[c5] C.P. Enz, Ann. Phys. 46, 114 (1968)

[c6] R. J. Hardy, Phys. Rev. B 2, 1193 (1970)

[c7] H. Beck, P. F. Meier, and A. Thellung, Phys. Status Solidi A 24, 11 (1974), pp. 60 and 61

[c8] J. Callaway, Phys. Rev. 113, 1046 (1959)

[c9] M. G. Holland, Phys. Rev. 132, 2461 (1963)

[c10] H. Beck, in Dynamical Properties of Solids, edited by G. K. Horton and A. A. Maradudin, (North-Holland/American Elsevier, New York, 1975), Vol. II, pp. 225 and 226

[c11] Y. P. Varshni and A. Konti, Phys. Rev. B 6, 1532 (1972)

[c12] R. J. Hardy and S. S. Jaswal, Phys. Rev. B 3, 4385 (1971)

[c13] S. S. Jaswal and R. J. Hardy, Phys. Rev. B 5, 753 (1972)

[c14] H. J. Maris, Phys. Rev. B 24, 1205 (1981)

[c15] M. J. P. Musgrave, Crystal Acoustics (Holden-Day, San Francisco, 1970), p. 94ff

[c16] K. H. Mueller and H. A. Fairbank, in Proceedings of the 13th International Conference on Low Temperature Physics, LT13, Boulder, Colorado, edited by W. J. O'Sullivan, K. D. Timmerhaus, and E. F. Hammel (Plenum, New York, 1974), Vol. 2, p. 90

[c17] D. S. Greywall, Phys. Rev. B 16, 5127 (1977)

[c18] R. H. Crepeau, O. Heybey, D. M. Lee, and S. A. Strauss, Phys. Rev. A 3, 1162 (1971)

[c19] J. P. Franck and R. Wanner, Phys. Rev. Lett. 25, 345 (1970)

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Second-sound velocities in hexagonal crystals

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