Calculation of Si nanowire thermal conductivity using complete phonon dispersion relations
Abstract
The lattice thermal conductivity of crystalline Si nanowires is calculated. The calculation uses complete phonon dispersions, and does not require any externally imposed frequency cutoffs. No adjustment to nanowire thermal conductivity measurements is required. Good agreement with experimental results for nanowires wider than 35 nm is obtained. A formulation in terms of the transmission function is given. Also, the use of a simpler, nondispersive “Callaway formula,” is discussed from the complete dispersions perspective.
- Publication:
-
Physical Review B
- Pub Date:
- September 2003
- DOI:
- 10.1103/PhysRevB.68.113308
- arXiv:
- arXiv:cond-mat/0308587
- Bibcode:
- 2003PhRvB..68k3308M
- Keywords:
-
- 63.22.+m;
- 65.80.+n;
- 66.70.+f;
- 63.20.Dj;
- Phonons or vibrational states in low-dimensional structures and nanoscale materials;
- Thermal properties of small particles nanocrystals and nanotubes;
- Nonelectronic thermal conduction and heat-pulse propagation in solids;
- thermal waves;
- Phonon states and bands normal modes and phonon dispersion;
- Condensed Matter - Materials Science
- E-Print:
- 4 pages, 3 figures. Accepted in Phys. Rev. B