Comparison of atomistic and continuum methods for calculating ballistic phonon transmission in nanoscale waveguides

Journal of Heat Transfer

Volumn 135, Issue 9, 2013, Pages

  Cheney, Drew A ^a   Lukes, Jennifer R ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

Elastic waveguides; Heat transfer; Lattice dynamics; Molecular dynamics; Phonon Transmission

Indexed keywords

ACOUSTIC WAVEGUIDES; BALLISTIC PHONONS; EIGEN-MODE EXPANSION; ELASTIC WAVE-GUIDES; NANO-SCALE WAVEGUIDES; NON EQUILIBRIUM MOLECULAR DYNAMIC (NEMD); PHONON TRANSMISSIONS; THERMAL CONDUCTANCE;

BALLISTICS; HEAT TRANSFER; LATTICE VIBRATIONS; MOLECULAR DYNAMICS; NANOTECHNOLOGY; PHONONS; WAVEGUIDES;

SOLIDS;

EID: 84883428745     PISSN: 00221481     EISSN: 15288943     Source Type: Journal    
DOI: 10.1115/1.4024355     Document Type: Article

References (48)

1. Liu, W., and Asheghi, M., 2006, "Thermal Conductivity Measurements of Ultra- Thin Single Crystal Silicon Layers," ASME J. Heat Transfer. 128, pp. 75-83.
2. Ju, Y. S., and Goodson, K. E., 1999, "Phonon Scattering in Silicon Films With Thickness of Order 100 nm," Appl. Phys. Lett., 74, pp. 3005-3007.
3. Li, D., Wu, Y., Kim, P., Li, S., Yang, P., and Majumdar, A., 2003, "Thermal Conductivity of Individual Silicon Nanowires," Appl. Phys. Lett., 83, pp. 2934-2936.
4. Chen, R., Hochbaum, A. I., Murphy, P., Moore, J., Yang, P., and Majumdar, M., 2008, "Thermal Conductance of Thin Silicon Nanowires," Phys. Rev. Lett., 101, p. 105501.
5. Hochbaum, A. I., Chen, R. Delgado, R. D., Liang, W., Garnett, E. C., Najarian, M., Majumdar, A., and Yang, P., 2008, "Enhanced Thermoelectric Performance of Rough Silicon Nanowires," Nature, 451, pp. 163-167.
6. Heron, J. S., Bera, C., Fournier, T., Mingo, N., and Bourgeois, O., 2010, "Blocking Phonons via Nanoscale Geometrical Design," Phys. Rev. B, 82, p. 155458.
7. Chang, C. W., Okawa, D., Garcia, H., Majumdar, A., and Zettl, A., 2007, "Nanotube Phonon Waveguide," Phys. Rev. Lett., 99, p. 045901.
8. Li, W. X., Chen, K. Q., Duan, W., Wu, J., and Gu, B. L., 2004, "Acoustic Phonon Mode Splitting Behavior of an Asymmetric Y-Branch Three Terminal Junction," Applied Physics Letters 85, pp. 822-824.
9. Huang, W. Q., Chen, K. Q., Shuai, Z., Wang, L., Hu, W., and Zou, B. S., 2005, "Acoustic-Phonon Transmission and Thermal Conductance in a Double-Bend Quantum Waveguide," J. Appl. Phys., 98, p. 093524.
10. Tang, L. M., Wang, L. L., Chen, K. Q., Huang, W. Q., and Zou, B. S., 2006, "Coupling Effect on Phonon Thermal Transport in a Double-Stub Quantum Wire," Appl. Phys. Lett., 88, p. 163505.
11. Chen, K. Q., Li, W. X., Duan, W., Shuai, Z., and Gu, B. L., 2005, "Effect of Defects on the Thermal Conductivity in a Nanowire," Phys. Rev. B, 72, p. 045422.
12. Sun, Q., Yang, P., and Guo, H., 2002, "Four-Terminal Thermal Conductance of Mesoscopic Dielectric Systems," Phys. Rev. Lett., 89, p. 175901.
13. Huang, W. Q., Huang, B. Y., Yi, D. Q., Wang, M. P. Huang, G. F., and Wang, L. L., 2008, "Selective Transmission and Enhanced Thermal Conductance of Ballistic Phonon by Nanocavities Embedded in a Narrow Constriction," J. Phys. D: Appl. Phys., 42, p. 015101.
14. Huang, W. Q., Yi, D. Q., Huang, B. Y., Wang, M. P., Huang, G. F., and Wang, L. L., 2008, "Selective Transport of Ballistic Phonon Modes by an Acoustic Nanocavity in a Psi-Shaped Semiconductor Nanowire," J. Appl. Phys., 104, p. 054309.
15. Yang, P., Sun, Q., Guo, H., and Hu, B., 2007, "Thermal Transport in a Dielectric T-Shaped Quantum Wire," Phys. Rev. B, 75, p. 235319.
16. Liu, Z., Yu, X., and Chen, K., 2009, "Thermal Transport Associated With Ballistic Phonons in Asymmetric Quantum Structures," Fron. Phys. China, 4, pp. 420-425.
17. Roberts, N. A., and Walker, D. G., 2011, "Phonon Transport in Asymmetric Sawtooth Nanowires," Proceedings of the ASME/JSME 2011 8th Thermal Engineering Joint Conference, Paper No. AJTEC2011-44.
18. Balandin, A., and Wang, K. L., 1998, "Significant Decrease of the Lattice Thermal Conductivity Due to Phonon Confinement in a Free-Standing Semiconductor Quantum Well," Phys. Rev. B, 58, pp. 1544-1549.
19. Sadhu J., and Sinha S., 2011, "Room-Temperature Phonon Boundary Scattering Below the Casimir Limit," Phys. Rev. B, 84(11), p. 115450.
20. Tamura, H., and Ando, T., 1991, "Conductance Fluctuations in Quantum Wires," Phys. Rev. B, 44, pp. 1792-1800.
21. Landauer, R., 1957, "Spatial Variation of Currents and Fields Due to Localized Scatterers in Metallic Conduction," IBM J. Res. Dev., 1, pp. 223-231.
22. Rego, L. G. C., and Kirczenow, G., 1998, "Quantized Thermal Conductance of Dielectric Quantum Wires," Phys. Rev. Lett., 81, pp. 232-235.
23. Galán, J. M., and Abascal, R., 2003, "Elastodynamic Guided Wave Scattering in Infinite Plates," Int. J. Numer. Methods Eng., 58, pp. 1091-1118.
24. Cho, Y., 2000, "Estimation of Ultrasonic Guided Wave Mode Conversion in a Plate With Thickness Variation," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 47, pp. 591-603.
25. Koshiba, M., Hasegawa, K., and Suzuki, M., 1987, "Finite-Element Solution of Horizontally Polarized Shear Wave Scattering in an Elastic Plate," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 34, pp. 461-466.
26. Al-Nassar, Y. N., Datta, S. K., and Shah, A. H., 1991, "Scattering of Lamb Waves by a Normal Rectangular Strip Weldment," Ultrasonics, 29, pp. 125-132.
27. Song, W. J., Rose, J. L., Galán, J. M., and Abascal, R., 2005, "Ultrasonic Guided Wave Scattering in a Plate Overlap," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 52, pp. 892-903.
28. Schelling, P. K., Phillpot, S. R., and Keblinski, P., 2002, "Phonon Wave-Packet Dynamics at Semiconductor Interfaces by Molecular-Dynamics Simulation," Appl. Phys. Lett., 80, pp. 2484-2486.
29. Becker, B., Schelling, P. K., and Phillpot, S. R., 2006, "Interfacial Phonon Scattering in Semiconductor Nanowires by Molecular-Dynamics Simulation," J. Appl. Phys., 99, p. 123715.
30. Kondo, N., Yamamoto, T., and Watanabe, K., 2006, "Phonon Wavepacket Scattering Dynamics in Defective Carbon Nanotubes," Jpn. J. Appl. Phys., 45, pp. L963-L965.
31. Zuckerman, N., and Lukes, J. R., 2008, "Acoustic Phonon Scattering From Particles Embedded in an Anisotropic Medium: A Molecular Dynamics Study," Phys. Rev. B, 77, p. 094302.
32. Tian, Z. T., White, B. E., and Sun, Y., 2010, "Phonon Wave-Packet Interference and Phonon Tunneling Based Energy Transport Across Nanostructured Thin Films," Appl. Phys. Lett., 96, p. 263113.
33. Zhao, H., and Freund, J. B., 2005, "Lattice-Dynamical Calculation of Phonon Scattering at Ideal Si-Ge Interfaces," J. Appl. Phys., 97, p. 024903.
34. Young, D. A., and Maris, H. J., 1989, "Lattice-Dynamical Calculation of the Kapitza Resistance Between FCC Lattices," Phys. Rev. B, 40, pp. 3685-3693.
35. Landry, E. S., 2009, "Thermal Transport by Phonons Across Semiconductor Interfaces, Thin Films, and Superlattices," Ph.D. thesis, Carnegie Mellon University, Pittsburgh, PA.
36. Wang, J. S., Wang, J., and Lü, J. T., 2008, "Quantum Thermal Transport in Nanostructures," Eur. Phys. J. B, 62, pp. 381-404.
37. Wang, J., and Wang, J. S., 2006, "Mode-Dependent Energy Transmission Across Nanotube Junctions Calculated With a Lattice Dynamics Approach," Phys. Rev. B, 74, p. 054303.
38. Zhang, W., Mingo, N., and Fisher, T., 2007, "Simulation of Phonon Transport Across a Non-Polar Nanowire Junction Using an Atomistic Green's Function Method," Phys. Rev. B, 76, p. 195429.
39. Huang, Z., Fisher, T. S., and Murthy, J. Y., 2010, "Simulation of Thermal Conductance Across Dimensionally Mismatched Graphene Interfaces," J. Appl. Phys., 108, p. 114310.
40. Huang, Z., Fisher, T. S., and Murthy, J. Y., 2010, "Simulation of Phonon Transmission Through Graphene and Graphene Nanoribbons With a Green's Function Method," J. Appl. Phys., 108, p. 094319.
41. Zhang, W., Fisher, T. S., and Mingo, N., 2007, "Simulation of Interfacial Phonon Transport in Si-Ge Heterostructures Using an Atomistic Green's Function Method," ASME J. Heat Transfer, 129, pp. 483-491.
42. Li, W. X., Chen, K. Q., Duan, W., Wu, J., and Gu, B. L., 2004, "Acoustic Phonon Transport Through a T-Shaped Quantum Waveguide," J. Phys.: Condens. Matter, 16, p. 5049.
43. Yang, P., Sun, Q., Guo, H., and Hu, B., 2007, "Thermal Transport in a Dielectric T-Shaped Quantum Wire," Phys. Rev. B, 75, p. 235319.
44. Solie, L. P., and Auld, B. A., 1973, "Elastic Waves in Free Anisotropic Plates," J. Acoust. Soc. Am., 54, pp. 50-65.
45. Mingo, N., 2003, "Calculation of Si Nanowire Thermal Conductivity Using Complete Phonon Dispersion Relations," Phys. Rev. B, 68, p. 113308.
46. Dove, M. T., 1993, Introduction to Lattice Dynamics, Cambridge University Press, Cambridge, UK.
47. Stillinger, F. H., and Weber, T. A., 1985, "Computer Simulation of Local Order in Condensed Phases of Silicon," Phys. Rev. B, 31, pp. 5262-5271.
48. Allen, M. P., and Tildesley, D. J., 1987, Computer Simulation of Liquids, Clarendon Press, Oxford, UK