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Theory of Thermal Conductivity of Micro- and Nano-structured Materials

Published online by Cambridge University Press:  31 January 2011

Gyaneshwar P. Srivastava*
Affiliation:
[email protected]@excc.ex.ac.uk, University of Exeter, School of Physics, Stocker Road, Exeter, Devon, EX4 4QL, United Kingdom, +44 1392 264080, +44 1392 264111
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Abstract

We provide a brief discussion of the Boltzmann equation derived Callaway-Debye relaxation time theory of lattice thermal conductivity of micro- and nano-structured materials (of size greater than 20 nm. Incorporated in the theory is a comprehensive treatment of three-phonon scattering events. Using numerical results from this theory, we present a quantitative investigation of the magnitude and temperature variation of the conductivity of CVD polycrystalline diamond films, suspended GaAs nanostructures, Si nanowires, and AlN micro- and nano-ceramics.

Type
Research Article
Copyright
Copyright © Materials Research Society 2009

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References

[1] Callaway, J. Phys. Rev. 113, 1046 (1959).Google Scholar
[2] Srivastava, G. P. The Physics of Phonons (Adam Hilger, Bristol, 1990).Google Scholar
[3] Ziman, J. M. Electrons and Phonons (Clarendon Press, Oxford, 1960)Google Scholar
[4] Klemens, P. G. Proc. Phys. Soc. 68 A 1113 (1955).Google Scholar
[5] Parrott, J. E. Rev. Int. Hautes Tempér, Réfract, Fr., 69, 393 (1979).Google Scholar
[6] G, G. Leibfried and Schlömann, E., Nachr. Akad. Wiss. Göttingen Math. Phys. Kl II(a) 4, 71 (1954).Google Scholar
[7] Hamilton, R.A.H. and Parrott, J. E. Phys. Rev. 78, 1284 91969).Google Scholar
[8] Srivastava, G. P. Phil. Mag. 34, 795 (1976).Google Scholar
[9] Vandersande, J. W. Phys. Rev. B 15, 2355 (1977).Google Scholar
[10] Morelli, D. T. Uher, C. and Robinson, C. J. Appl. Phys. Lett. 62, 1085 (1993).Google Scholar
[11] Barman, S. and Srivastava, G. P. Phys. Rev. B 73, 073301 (2006).Google Scholar
[12] Barman, S. and Srivastava, G. P. Phys. Rev. B 73, 205308 (2006).Google Scholar
[13] Fon, W. Schwab, K. C. Worlock, J. M. and Roukes, M. L. Phys. Rev. B 66, 045302 (2002).Google Scholar
[14] Holland, M. G. Phys. Rev. 134, A471 (1964).Google Scholar
[15] Walkauskas, S. G. Broido, D. A. Kempa, K. and Reinecke, T. L. J. Appl. Phys. 85, 2579 (1999).Google Scholar
[16] Voltz, S. G. and Chen, G. Appl. Phys. Lett. 75, 2056 (1999).Google Scholar
[17] Murphy, P.G. and Moore, J. E. Phys. Rev. B 76, 155313 (2007).Google Scholar
[18] Li, D. Wu, Y. Kim, P. Shi, L. Yang, P. and Majumdar, A. Appl. Phys. Lett. 83, 2934 (2003).Google Scholar
[19] Slack, G. A. Tanzilli, R. A. Pohl, R. O. and Vandersande, J. W. J. Phys. Chem. Solids 48, 641 (1987).Google Scholar
[20] Watari, K. Nakano, H. Urabe, K. Ishizaki, K. Cao, S. and Mori, K. J. Mater. Res. 17, 2940 (2002).Google Scholar
[21] Jackson, T. B. Virkar, A. V. More, K. L. Dinwiddie, R. B. and Cutler, R. A. J. Am. Ceram. Soc. 80, 1421 (1997).Google Scholar
[22] AlShaikhi, A. and Srivastava, G. P. J. Appl. Phys. 103, 83554 (2008).Google Scholar
[23] Qiu, J. Hotta, Y. Watari, K. Mitsuishi, K. J. Am. Ceram. Soc. 89, 377 (2006).Google Scholar
[24] Panchula, M. L. and Ying, J. Y. J. Am. Ceram. Soc. 86, 1121 (2003).Google Scholar
[25] AlShaikhi, A. and Srivastava, G. P. J. Phys. Condens. Matter 21, 174207 (2009).Google Scholar