Abstract
Using pseudopotential theory for the phonons, electrons, and electron-phonon interaction of zine, we have calculated several electronic properties of this metal. Among these are the electron lifetime at three positions on the Fermi surface, the anisotropic electrical resistivity, the anisotropic thermal conductivity, and the ultrasonic attenuation, all due to the electron-phonon interaction, and all as a function of temperature. For the electrical resistivity, two solutions of the Boltzmann equation were obtained, one consisting of a single spherical harmonic, and the other made up of six spherical harmonics. The single spherical harmonic is not adequate at low temperatures.
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Swihart, J. C., Scalapino, D. J., Wada, Y.: Phys. Rev. Letters14, 106 (1965)
Tomlinson, P. G., Swihart, J. C.: Proceedings of the 13th International Conference on Low Temperature Physics, LT-13, ed. by K. D. Timmerhaus, W. J. O'Sullivan, and E. F. Hammel, Vol. 4, p. 269. New York: Plenum Press 1974
Tomlinson, P. G., Swihart, J. C.: To be submitted for publication
Shaw, R. W., Jr.: J. Phys. C2, 2335 (1969)
Gilat, G., Rizzi, G., Cubiotti, G.: Phys. Rev.185, 971 (1969)
Almqvist, L., Stedman, R.: J. Phys. F1, 785 (1971)
Stark, R. W., Falicov, L. M.: Phys. Rev. Letters19, 795 (1967)
Sham, L. J.: Proc. Phys. Soc. (London)78, 895 (1961)
Scalapino, D. J.: In: Superconductivity, ed. by R. D. Parks, Vol. I. Chapt. 10. New York: Marcel Dekker, Inc. 1969
Ziman, J. M.: Electrons and Phonons, Chapt. VII., London: Oxford University Press 1960
Meaden, G. T.: Electrical Resistance of Metals. New York: Plenum Press 1965
Truant, P. T., Carbotte, J. P.: Can. J. Phys.51, 922 (1973)
Aleksandrov, B. N., D'Yakov, I. G.: Zh. Eksperim. i Teor. Fiz.43, 852 (1962) [English transl.; Soviet Physics JETP16, 603 (1963)]
Mendelssohn, K., Rosenberg, H. M.: Proc. Phys. Soc. (London)A 65, 385 (1952)
Pecheur, P., Toussaint, G.: Phys. Rev.B 7, 1223 (1973)
Steinberg, M. S.: Phys. Rev.109, 1486 (1958)
Bhatia, A. B., Moore, R. A.: Phys. Rev.121, 1075 (1961)
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Research supported in part by a grant from the National Science Foundation.
Based in part on the Ph. D. thesis of P.G.T., submitted to the Faculty of the Graduate School of Indiana University, November 1973.
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Tomlinson, P.G., Swihart, J.C. Theory of the contribution of the electron-phonon interaction to the anisotropic electronic lifetime and transport properties of zine. Phys cond Matter 19, 117–124 (1975). https://doi.org/10.1007/BF01458857
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DOI: https://doi.org/10.1007/BF01458857