Theoretical phonon thermal conductivity of Si/Ge superlattice nanowires

Journal of Applied Physics

Volumn 95, Issue 2, 2004, Pages 682-693

  Dames, C ^a   Chen, G ^a  

^a USA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PHONON WAVELENGTH; SUPERLATTICE NANOWIRES;

ACOUSTIC WAVE SCATTERING; APPROXIMATION THEORY; INTERFACES (MATERIALS); MATHEMATICAL MODELS; NANOSTRUCTURED MATERIALS; PHONONS; SURFACE ROUGHNESS; THERMAL CONDUCTIVITY;

SEMICONDUCTOR SUPERLATTICES;

EID: 0742285722     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1631734     Document Type: Article

References (47)

1. Y. Wu, R. Fan, and P. Yang, Nano Lett. 2, 83 (2002).
2. M. S. Gudiksen, L. J. Lauhon, J. Wang, D. C. Smith, and C. M. Lieber, Nature (London) 415, 617 (2002).
3. M. T. Bjork et al., Nano Lett. 2, 87 (2002).
4. Y. M. Lin and M. S. Dresselhaus, Phys. Rev. B 68, 075304 (2003).
5. L. D. Hicks and M. S. Dresselhaus, Phys. Rev. B 47, 16631 (1993).
6. L. D. Hicks, T. C. Harman, X. Sun, and M. S. Dresselhaus, Phys. Rev. B 53, 10493 (1996).
7. R. Venkatasubramanian, E. Siivola, T. Colpitts, and B. O'Quinn, Nature (London) 413, 597 (2001).
8. K. Schwab, E. A. Henriksen, J. M. Worlock, and M. L. Roukes, Nature (London) 404, 974 (2000).
9. M. V. Simkin and G. D. Mahan, Phys. Rev. Lett. 85, 927 (2000).
10. B. Yang and G. Chen, Phys. Rev. B 67, 195311 (2003).
11. S. G. Volz and G. Chen, Appl. Phys. Lett. 75, 2056 (1999).
12. J. Zou and A. Balandin, J. Appl. Phys. 89, 2932 (2001).
13. S. Volz and D. Lemonnier, Phys. Low-Dimens. Semicond. Struct. 5/6, 91 (2000).
14. X. Lu, W. Z. Shen, and J. H. Chu, J. Appl. Phys. 91, 1542 (2002).
15. S. G. Walkauskas, D. A. Broido, K. Kempa, and T. L. Reinecke, J. Appl. Phys. 85, 2579 (1999).
16. N. Mingo, Phys. Rev. B 68, 113308 (2003).
17. D. Li, Y. Wu, P. Kim, L. Shi, P. Yang, and A. Majumdar, Appl. Phys. Lett. 83, 2934 (2003).
18. D. Li, Y. Wu, R. Fan, P. Yang, and A. Majumdar, Appl. Phys. Lett. 83, 3188 (2003).
19. L. J. Lauhon, M. S. Gudiksen, D. Wang, and C. M. Lieber, Nature (London) 420, 57 (2002).
20. J. M. Ziman, Electrons and Phonons (Oxford University Press, New York, 1960).
21. X. S. Tighe, J. M. Worlock. and M. L. Roukes, Appl. Phys. Lett. 70, 2687 (1997).
22. W. Fon, W. C. Schwab. J. M. Worlock, and M. L. Roukes, Phys. Rev. B 66, 045302 (2002).
23. M. G. Holland, Phys. Rev. 132, 2461 (1963).
24. M. F. Modest, Radiative Heat Transfer (McGraw-Hill, New York, 1993).
25. T. Klitsner et al., Phys. Rev. B 38, 7576 (1988).
26. This is because we have defined the effective temperature using C. The temperature has also [G. Chen, Phys. Rev. B 57, 14958 (1998)] been defined using H. In that approach, G becomes a function of both T and q, while H only depends on T, and the correct form of Eq. (10) uses H rather than G.
27. N. S. Snyder, Cryogenics 10, 89 (1970).
28. R. J. Stoner and H. J. Maris, Phys. Rev. B 48, 16373 (1993).
29. E. T. Swartz and R. O. Pohl, Rev. Mod. Phys. 61, 605 (1989).
30. G. Chen, Phys. Rev. B 57, 14958 (1998).
31. H. C. Hottel and J. D. Keller, Trans. ASME 55, 39 (1933).
32. J. R. Howell, A Catalog of Radiation Heat Transfer Configuration Factors, 2nd ed., 2001, http://www.me.utexas.edu/howell/.
33. J. B. Casimir, Physica (Amsterdam) 5, 495 (1938).
34. Y.-M. Lin (private communication).
35. CRC Handbook of Thermoelectrics, edited by D. M. Rowe (CRC Press, Cleveland, 1995).
36. H. Bilz and W. Kress, Phonon Dispersion Relations in Insulators (Springer, New York, 1979).
37. J. A. Carruthers, T. H. Geballe, H. M. Rosenberg, and J. M. Ziman, Proc. R. Soc. London, Ser. A 238, 502 (1957), some data available online at http://www.ioffe.rssi.ru/SVA/NSM/Semicond/Ge/thermal.html.
38. C. J. Glassbrenner and G. A. Slack, Phys. Rev. 134, A1059 (1964), some data available online at http://www.ioffe.rssi.ru/SVA/NSM/Semicond/Si/thermal.html.
39. B. Abeles, Phys. Rev. 131, 1906 (1963).
40. G. Chen, J. Heat Transfer 121, 945 (1999).
41. D. Cahill, W. K. Ford, K. E. Goodson, G. D. Mahan, A. Majumdar, H. J. Maris, R. Merlin, and S. R. Phillpot, J. Appl. Phys. 93, 793 (2003).
42. R. Berman, E. L. Foster, and J. M. Ziman, Proc. R. Soc. London 231, 130 (1955).
43. D. Li, Ph.D. thesis, U. Calif. Berkeley, 2002.
44. P. G. Klemens, Phys. Rev. 119, 507 (1960).
45. N. W. Ashcroft and N. D. Mermin, Solid State Physics (〈〈saunders College, Philadelphia, 1976).
46. N. Savvides and H. J. Goldsmid, J. Phys. C 6, 1701 (1973).
47. 2)≈0.4428.