Ultrasonic Attenuation in the Normal State of High-Purity Thallium

H. J. Willard, Jr

doi:10.1103/PhysRev.175.367

Access by Xinjiang University

Ultrasonic Attenuation in the Normal State of High-Purity Thallium

H. J. Willard, Jr.^*

Department of Physics and Astronomy, Rensselaer Polytechnic Institute, Troy, New York 12181

^*Based upon a thesis submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy at Rennsselaer Polytechnic Institute. Present address: Westinghouse Electric Corp., Bettis Atomic Power Lab, West Mifflin, Pa. 15122.

PDF

Phys. Rev. 175, 367 – Published 10 November, 1968

DOI: https://doi.org/10.1103/PhysRev.175.367

Abstract

The normal-state electronic attenuation of longitudinal ultrasonic waves (10 to 130 MHz) has been studied in high-purity thallium. The attenuation is in general agreement with the Pippard real-metal theory, but does not agree with the free-electron theory. The attenuation is highly anisotropic, in part because of anisotropies in the electron mean free path, the total curvature of the Fermi surface, and the product of the curvature and the Pippard deformation parameter. The electron mean free path was determined from the acoustic measurements for q ∥[0001], $H ∥ [10 \bar{1} 0]$ and $q ∥ [\bar{1} 2 \bar{1} 0]$ , $H ∥ [10 \bar{1} 0]$ . The results indicate that the anisotropy in the electron mean free path is due to impurity scattering. The phonon scattering contribution was proportional to $T^{- b}$ , where $b = 3.6 \pm 0.1$ for both directions, whereas $b = 5$ has been reported from electrical resistivity measurements. A frequency-dependent component of the electronic attenuation was observed for q ∥[0001] which could not be explained on the basis of the Pippard theories.

References (18)

H. J. Willard, Jr., R. W. Shaw, and G. L. Salinger, Phys. Rev. 175, 362 (1968)
A. B. Pippard, Phil. Mag. 46, 1104 (1955)
A. B. Pippard, Proc. Roy. Soc. (London) A257, 165 (1960)
P. Soven, Phys. Rev. 137, A1706 (1965) ibid.137, A1717 (1965)
J. A. Rayne, Phys. Rev. 131, 653 (1963)
Y. Eckstein, J. B. Ketterson, and M. G. Priestly, Phys. Rev. 148, 586 (1966)
W. A. Harrison, Phys. Rev. 118, 1190 (1960)
R. B. Weil and A. W. Lawson, Phys. Rev. 141, 452 (1966)
M. Tannenbaum, in Methods of Experimental Physics, edited by K. Lark-Horowitz and Vivian A. Johnson (Academic Press Inc., New York, 1959), Vol. 6, p. 86
R. E. Love and R. W. Shaw, Rev. Mod. Phys. 36, 260 (1964)
T. Kjeldaas, Jr., and T. Holstein, Phys. Rev. Letters 2, 260 (1964)
B. C. Deaton and J. D. Gavenda, Phys. Rev. 129, 1990 (1963)
C. Kittel, Solid State Physics (John Wiley & Sons, Inc., New York, 1962)
B. J. C. van der Hoeven, Jr., and P. H. Keeson, Phys. Rev. 135, A631 (1964)
N. V. Zavaritskii, Zh. Eksperim. i Teor. Fiz. 39, 1571 (1960) [English transl.: Soviet Phys.—JETP 12, 1093 (1961)]
B. C. Deaton, Phys. Rev. 140, A2051 (1965)
J. M. Ziman, Theory of Solids (Cambridge University Press, Cambridge, 1964)
M. S. Steinberg, Phys. Rev. 109, 1486 (1958)

[c1] H. J. Willard, Jr., R. W. Shaw, and G. L. Salinger, Phys. Rev. 175, 362 (1968)

[c2] A. B. Pippard, Phil. Mag. 46, 1104 (1955)

[c3] A. B. Pippard, Proc. Roy. Soc. (London) A257, 165 (1960)

[c4] P. Soven, Phys. Rev. 137, A1706 (1965) ibid.137, A1717 (1965)

[c5] J. A. Rayne, Phys. Rev. 131, 653 (1963)

[c6] Y. Eckstein, J. B. Ketterson, and M. G. Priestly, Phys. Rev. 148, 586 (1966)

[c7] W. A. Harrison, Phys. Rev. 118, 1190 (1960)

[c8] R. B. Weil and A. W. Lawson, Phys. Rev. 141, 452 (1966)

[c9] M. Tannenbaum, in Methods of Experimental Physics, edited by K. Lark-Horowitz and Vivian A. Johnson (Academic Press Inc., New York, 1959), Vol. 6, p. 86

[c10] R. E. Love and R. W. Shaw, Rev. Mod. Phys. 36, 260 (1964)

[c11] T. Kjeldaas, Jr., and T. Holstein, Phys. Rev. Letters 2, 260 (1964)

[c12] B. C. Deaton and J. D. Gavenda, Phys. Rev. 129, 1990 (1963)

[c13] C. Kittel, Solid State Physics (John Wiley & Sons, Inc., New York, 1962)

[c14] B. J. C. van der Hoeven, Jr., and P. H. Keeson, Phys. Rev. 135, A631 (1964)

[c15] N. V. Zavaritskii, Zh. Eksperim. i Teor. Fiz. 39, 1571 (1960) [English transl.: Soviet Phys.—JETP 12, 1093 (1961)]

[c16] B. C. Deaton, Phys. Rev. 140, A2051 (1965)

[c17] J. M. Ziman, Theory of Solids (Cambridge University Press, Cambridge, 1964)

[c18] M. S. Steinberg, Phys. Rev. 109, 1486 (1958)

Physical Review Journals Archive

Export citation

Export citation

Ultrasonic Attenuation in the Normal State of High-Purity Thallium

Abstract

References (18)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation