Abstract
Experimental data on the thermal conductivity K(T) of natural and highly enriched (99.99%) Ge70 crystals with ground and polished surfaces are analyzed in the temperature interval ∼2–8 K. In all samples, the boundary scattering mechanism predominates in the interval from 2 to 4.0 K. As temperature increases, in highly enriched samples N processes start to contribute to phonon transport and the behavior of K(T) corresponds to viscous Poiseuille flow of a phonon gas. The isotopic scattering mechanism plays a large role in isotopically nonideal samples.
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References
V. I. Ozhogin, A. V. Inyushkin, A. N. Toldenkov, G. É. Popov, E. Haller, and K. Itoh, JETP Lett. 63, 490 (1996).
M. Asen-Palmer, K. Bartkowsky, E. Gmelin, M. Cardona, A. P. Zhernov, A. V. Inuishkin, A. V. Taldenkov, V. I. Oghogin, K. M. Itoh, and E. E. Haller, Phys. Rev. B 56, 9431 (1997).
R. N. Gurzhi, Zh. Éksp. Teor. Fiz. 46, 719 (1964) [Sov. Phys. JETP 19, 490 (1964)]; Usp. Fiz. Nauk 94, 689 (1968) [Sov. Phys. Usp. 11, 255 (1968)].
E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics [Pergamon Press, N. Y.; Nauka, Moscow, 1979].
R. Berman, Thermal Conduction in Solids [Clarendon Press, Oxford, 1976; Mir, Moscow, 1979].
V. L. Gurevich, Kinetics of Phonon Systems [in Russian], Nauka, Moscow, 1980.
L. P. Mezhov-Deglin, Zh. Éksp. Teor. Fiz. 49, 66 (1965) [Sov. Phys. JETP 22, 47 (1966)]; Zh. Éksp. Teor. Fiz. 71, 1453 (1976) [Sov. Phys. JETP 25, 568 (1967)]; Fiz. Tverd. Tela (Leningrad) 22, 1748 (1980) [Sov. Phys. Solid State 22, 1018 (1980)].
B. N. Esel’son, V. N. Grigor’ev, V. G. Ivantsov, É. Ya. Rudakovskii, D. G. Sanikidze, and I. A. Serbin, Solutions of Quantum Liquids [in Russian], Nauka, Moscow, 1973.
J. M. Zaiman, in Electrons and Phonons, Oxford, 1960, p. 456.
H. B. Casimir, Physica 5, 495 (1938).
S. B. Soffer, J. Appl. Phys. 38, 1710 (1967).
D. R. Frankl and G. J. Campisi, in Proceedings of the International Conference on Phonon Scattering in Solids, Paris, 1972, edited by H. J. Albany, La Documentation Francaise, Paris, 1972, pp. 88–93.
W. S. Hust and D. R. Frankl, Phys. Rev. 186, 801 (1969).
W. S. Hust and D. R. Frankl, Phys. Rev. B 19, 3133 (1979).
A. D. Zdetsis and C. S. Wang, Phys. Rev. B 19, 2999 (1979).
Resul Eryigit and Irving P. Herman, Phys. Rev. B 53, 7775 (1996).
A. K. Mc Curdy, H. J. Maris, and C. Elbaum, Phys. Rev. B 2, 4077 (1970).
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Fiz. Tverd. Tela (St. Petersburg) 40, 1604–1607 (September 1998)
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Zhernov, A.P., Zhernov, D.A. Characteristic features of the low-temperature thermal conductivity of highly-enriched and natural germanium. Phys. Solid State 40, 1456–1459 (1998). https://doi.org/10.1134/1.1130613
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DOI: https://doi.org/10.1134/1.1130613