Abstract
We compare the inelastic scattering rate in 220-Å-thick free-standing films with nearly identical films on substrates. The scattering rate was determined by fitting the magnetoresistance to theories of quantum transport. Although the films are sufficiently thin so as to modify the three-dimensional spectrum of thermal phonons, we find no significant difference between the scattering rates in free-standing and supported films. While experiments on other materials down to lower temperatures are necessary, we conclude that the cubic temperature dependence of the inelastic scattering rate in these thin aluminum films is not strongly affected by the phonon dimensionality.
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References
G. Bergmann, Phys. Reports 107, 1 (1984).
B. L. Al'tshuler et al., Sov. Sci. Rev. 9, 223 (1987).
Y. K. Kwong et al., J. Vac. Sci. Technol. B 7, 2020 (1989).
C. G. Smith and M. N. Wybourne, Solid State Commun. 57, 411 (1986).
N. W. Ashcroft and N. D. Mermin, Solid State Physics (Holt, Rinehart, and Winston, New York, 1976).
J. M. Gordon and A. M. Goldman, Phys. Rev. B 34, 1500 (1986).
P. Santhanam, S. Wind, and D. E. Prober, Phys. Rev. B 35, 3188 (1987).
For examples, see G. Bergmann et al., Phys. Rev. B 41, 7386 (1990) : E. M. Gershenzon et al., Sov. Phys.-JETP 70, 507 (1990); J. J. Lin and N. Giordano, Phys. Rev. B 35, 1071 (1987); A. V. Butenko, et al., Sov. J. Low Temp. Phys. 14, 233 (1988).
D. Belitz and S. Das Sarma, Phys. Rev. B 36, 7701 (1987).
Handbook of Chemistry and Physics (CRC Press, Boca Raton, FL, 1980).
M. Tinkham, Introduction to Superconductivity (Krieger, Malabar, FL, 1980).
W. E. Lawrence and A. B. Meador, Phys. Rev. B 18, 1154 (dy1983).
G. Bergmann, Phys. Rev. B 3, 3797 (1971).
P. B. Allen, Phys. Rev. B 6, 2577 (1972).
J. Rammer and A. Schmid, Phys. Rev. B 34, 1352 (1986).
J. F. DiTusa et al., Phys. Rev. Lett. 68, 1156 (1992).
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Kwong, Y.K., Lin, K., Isaacson, M.S. et al. An attempt to observe phonon dimensionality crossover effects in the inelastic scattering rate of thin free-standing aluminum films. J Low Temp Phys 88, 261–272 (1992). https://doi.org/10.1007/BF00162961
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DOI: https://doi.org/10.1007/BF00162961