Monte Carlo simulation of silicon nanowire thermal conductivity

Journal of Heat Transfer

Volumn 127, Issue 10, 2005, Pages 1129-1137

  Chen, Yunfei ^a   Li, Deyu ^b   Lukes, Jennifer R ^c   Majumdar, Arun ^d,e  

^a Southeast University   (China)

^b VANDERBILT UNIVERSITY   (United States)

^c UNIVERSITY OF PENNSYLVANIA   (United States)

^d UNIVERSITY OF CALIFORNIA   (United States)

^e LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

Dispersion relations; Genetic algorithm; Monte Carlo simulation; Nanowire; Phonon scattering; Thermal conductivity

Indexed keywords

COMPUTER SIMULATION; ELASTICITY; GENETIC ALGORITHMS; MATHEMATICAL MODELS; MONTE CARLO METHODS; PERTURBATION TECHNIQUES; PHONONS; SCATTERING; SILICON; SINGLE CRYSTALS;

DISPERSION RELATIONS; NANOWIRE; PHONON SCATTERING;

THERMAL CONDUCTIVITY OF SOLIDS;

MONTE CARLO SIMULATION; NANOWIRE; SILICON; THERMAL CONDUCTIVITY;

EID: 30444434408     PISSN: 00221481     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2035114     Document Type: Article

References (37)

1. Klemens, P. G., 1958, Solid State Physics, Academic Press, NY.
2. Callaway, J., 1959, "Model of Lattice Thermal Conductivity at Low Temperatures," Phys. Rev., 113, pp. 1046-1051.
3. Holland, M. G., 1963, "Analysis of Lattice Thermal Cunductivity," Phys. Rev., 132, pp. 2461-2471.
4. Armstrong, B. H., 1985, "N Processes, the Relaxation-Time Approximation, and the Thermal Conductivity," Phys. Rev. B, 32, pp. 3381-3390.
5. Chen, G., 2001, "Ballistic-Diffusive Heat-Conduction Equations," Phys. Rev. Lett., 86, pp. 2297-2230.
6. Ju, Y. S., and Goodson, K. E., 1999, "Phonon Scattering in Silicon Thin Films with Thickness of Order 100 nm," Appl. Phys. Lett., 14, pp. 3005-3007.
7. Kurosawa, T., 1966, "Monte Carlo simulation of hot electron problems," Proceedings of the International Conference on the Physics of Semiconductor, Kyotom J. Phys. Soc. Jpn. 21, pp. 424-427.
8. Budd, H., 1967, "Path Variable Formulation of the Hot Carrier Problem," Phys. Rev., 158, pp. 798-804.
9. Jacoboni, C., and Reggiani, L., 1983, "The Monte Carlo Method for the Solution of Charge Transport in Semiconductors with Applications to Covalent Materials," Rev. Mod. Phys., 55, pp. 645-705.
10. Bachelli, L., and Jacoboni, C., 1972, "Electron-Electron Interactions in Monte Carlo Transport Calculcations," Solid State Commun., 10, pp. 71-74.
11. Matulionis, A., Pozela, J., and Reklaitis, A., 1975, "Monte Carlo Treatment of Electron-Electron Collisions," Solid State Commun., 16, pp. 1133-1137.
12. Jacobini, C., 1978, "Noise and Diffusion of Hot Holes in Si," Solid-State Electron., 21, pp. 315-318.
13. Klistner, T., VanCleve, J. E., Fisher, H. E., and Pohl, R. O., 1988, "Phonon Radiative Heat Transfer and Surface Scattering," Phys. Rev. B, 38, pp. 7576-7594.
14. Peterson, R. B., 1994, "Direct Simulations of Phonon-Mediate Heat Transfer in A Debye Crystal," ASME J. Heat Transfer. 116, pp. 815-822.
15. Mazumder, S., and Majumdar, A., 2001, "Monte Carlo Study of Phonon Transport in Solid Thin Films including Dispersion and Polarization," ASME J. Heat Transfer, 123, pp. 749-759.
16. Li, D., Wu, Y., Kim, P., Shi, L., Yang, P., and Majumdar, A., 2003, "Thermal Conductivity of Individual Silicon Nanowire," Appl. Phys. Lett., 83, pp. 2934-2936.
17. Li, D., Wu, Y., Fan, R., Yang, P., and Majumdar, A., 2003, "Thermal Conductivity of Si/SiGe Superlattice Nanowires," Appl. Phys. Lett., 83, pp. 3186-3188.
18. Vincenti, W. G., and Kruger, C. H., 1977, Introduction to Physical Gas Dynamics, Robert Krieger Publication, New York.
19. Majumdar, A., 1993, "Microscale Heat Conduction in Dielectric Thin Films," ASME J. Heat Transfer, 115, pp. 7-16.
20. Peierls, R. E., 1955, Quantum Theory of Solids, Oxford University Press, Oxford.
21. Goldberg, D. E., 1982, Genetic Algorithms in Search, Optomization, and Machine Learning, Addison-Wesley Publishing Company.
22. Asen-Palmer, M., Bartkowski, K., Gmelin, E., Cardona, M., Zhernov, A. P., Inyushkin, A. V., Valdenkov, A., Ozhogin, V. I., Itoh, K. M., and Haller, E. E., 1997, "Thermal Conductivity of Germanium Crystals with Different Isotopic Compositions," Phys. Rev. B, 56, pp. 9431-9447.
23. Brockhouse, B. N., 1959, "Lattice Vibrations in Silicon and Germanium," Phys. Rev. Lett., 2, pp. 256-258.
24. Auld, B. A., 1973, Acoustic Fields and Waves in Solids, Wiley, NY.
25. Herring, C., 1954, "Role of Low Energy Phonons in Thermal Conduction," Phys. Rev., 95, pp. 954-965.
26. Simons, S., 1963, Proc. Phys. Soc. London, 82, pp. 401-405.
27. Blencowe, M. P., 1999, "Quantum Energy Flow in Mesoscopic Dielectric Structures," Phys. Rev. B, 59, pp. 4992-4998.
28. Han, Y.-J., and Klemens, P. G., 1993, "Anharmonic Thermal Resistivity of Dielectric Crystals at Low Temperaturs," Phys. Rev. B, 48, pp. 6033-6042.
29. Kremer, R. K., Graf, K., Cardona, M., Devyatykh, G. H., Gusev, A. V., Gibin, A. M., Inyushkin, A. V., Taldenkov, A. N., and Pohl, H.-J., 2004, "Thermal Conductivity of Isotopically Enriched 28Si: Revisited," Solid State Commun., 131, pp. 499-503.
30. Zou, J., and Alexander, B., 2001, "Phonon Heat Conduction in A Semiconductor Nanowire," J. Appl. Phys., 89, pp. 2932-2938.
31. Khitun, A., and Wang, K. L., 2001, "Modification of the Three-Phonon Umklapp Process in A Quantum Wire," Appl. Phys. Lett., 79, pp. 851-853.
32. Volz, S., Lemonnier, D., and Saulnier, J.-B., 2001, "Clamped Nanowire Thermal Conductivity Based on Phonon Transport Equation," Microscale Thermophys. Eng., 5, pp. 191-207.
33. Lü, X., Chu, J. H., and Shen, W. Z., 2003, "Modification of the Lattice Thermal Conductivity in Semiconductor Recatangular Nanowires," J. Appl. Phys., 93, pp. 1219-1229.
34. Volz, S., and Chen, G., 1999, "Molecular Dynamics Simulations of Thermal Conductivity of Silicon Nanowires," Appl. Phys. Lett., 75, pp. 2056-2058.
35. Dames, C., and Chen, G., 2004, "Theoretical Phonon Thermal Conductivity of SI/Ge Superlattice Nanowires," J. Appl. Phys., 95, pp. 682-693.
36. Mingo, N., 2003, "Calculation of Si Nanowire Thermal Conductivity using Complete Phonon Dispersion Relations," Phys. Rev. B, 68, pp. 113308-1-113308-4.
37. Mingo, N., Yang, L., Li., D., and Majumdar, A., 2003, "Predicting the Thermal Conductivity of Si and Ge Nanowires," Nano Lett., 3, pp. 1713-1716.