Thermal Conductivity of Diameter-Modulated Silicon Nanowires Within a Frequency-Dependent Model for Phonon Boundary Scattering
- 277 Downloads
- 18 Citations
Abstract
Modulated nanowires have been proposed as candidates for efficient thermoelectric applications. It has been previously shown within the low-temperature ballistic regime of phonon transport that the thermal conductivity can be significantly reduced when the width of the nanowire is modulated. Here, we report on the thermal conductivity of modulated Si nanowires calculated within a kinetic theory model. The size dependence is taken into account through the sampling of k-points in the first Brillouin zone and a frequency-dependent calculation of the boundary scattering length. It has been found that the thermal conductivity of modulated nanowires can be drastically reduced compared with that of nanowires with constant width. Interestingly, the thermal conductivity is even smaller than that of corresponding straight wires with width equal to the smallest width in the modulated nanowires. The dramatic decrease of the thermal conductivity of modulated nanowires is attributed to their small transmissivity.
Keywords
Thermal conductivity silicon nanowires boundary scattering transmissivity thermoelectric efficiencyPreview
Unable to display preview. Download preview PDF.
References
- 1.J. Zou and A. Balandin, J. Appl. Phys. 89, 2932 (2001).CrossRefGoogle Scholar
- 2.N. Mingo and L. Yang, Nano Lett. 3, 1713 (2003).CrossRefGoogle Scholar
- 3.A.I. Boukai, et al., Nature 451, 168 (2008).CrossRefGoogle Scholar
- 4.X. Zianni, Appl. Phys. Lett. 97, 233106 (2010).CrossRefGoogle Scholar
- 5.X. Zianni, Nanoscale Res. Lett. 6, 286 (2011).CrossRefGoogle Scholar
- 6.X. Zianni, AIP Conf. Proc. 1449, 21 (2012).CrossRefGoogle Scholar
- 7.X. Zianni, J. Solid State Chem. 193, 53 (2012).CrossRefGoogle Scholar
- 8.D.L. Nika, A.I. Cocemasov, C.I. Isacova, A.A. Balandin, V.M. Fomin, and O.G. Schmidt, Phys. Rev. B 85, 205439 (2012).CrossRefGoogle Scholar
- 9.P. Chantrenne, J.L. Barrat, X. Blase, and J.D. Gale, J. Appl. Phys. 97, 104318 (2005).CrossRefGoogle Scholar
- 10.P. Chantrenne and V. Lysenko, Phys. Rev. B 72, 035318 (2005).CrossRefGoogle Scholar
- 11.M.G. Holland, Phys. Rev. 134, A471 (1964).CrossRefGoogle Scholar
- 12.J. Callaway, Phys. Rev. B 113, 1046 (1959).Google Scholar
- 13.P.G. Klemens, Proc. Phys. Soc. London 48, 1113 (1955).Google Scholar
- 14.P.G. Klemens, Solid State Physics, ed. F. Steitz and D. Turnbull (New York: Academic, 1958).Google Scholar
- 15.N. Mingo, Phys. Rev. B 68, 113308 (2003).Google Scholar
- 16.H.B.G. Casimir, Physica 5, 495 (1938).CrossRefGoogle Scholar
- 17.C. Dames and G. Chen, J. Appl. Phys. 95, 682 (2004).CrossRefGoogle Scholar
- 18.J.M. Ziman, Electrons and Phonons (Oxford: Claredon, 1960).Google Scholar
- 19.Z. Zhang, Nano/Microscale Heat Transfer (New York: McGraw-Hill Professional, 2007) p. 274.Google Scholar
- 20.Z. Wang, J.E. Alaniz, W. Jang, J.E. Garay, and C. Dames, Nano Lett. 11, 2206 (2011).CrossRefGoogle Scholar