Transition between ballistic and diffusive heat transport regimes in silicon materials

Applied Physics Letters

Volumn 101, Issue 11, 2012, Pages

  Maldovan, Martin ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BALLISTIC TRANSPORTS; BOLTZMANN TRANSPORT EQUATION; BOUNDARY ROUGHNESS; CASIMIR; COMBINED EFFECT; DIFFUSIVE HEAT; FOURIER THEORY; HEAT TRANSPORT; LENGTH SCALE; NANO SCALE; PHONON QUANTUM CONFINEMENT EFFECTS; SILICON MATERIALS; SILICON NANOWIRES; THEORETICAL MODELS; THERMAL TRANSPORT;

HEAT TRANSFER; NANOWIRES; PHONONS; SURFACE SCATTERING;

BALLISTICS;

EID: 84866329015     PISSN: 00036951     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4752234     Document Type: Article

References (36)

1. A. I. Hochbaum, R. Chen, R. D. Delgado, W. Liang, E. C. Garnett, M. Najarian, A. Majumdar, and P. Yang, Nature (London) 451, 163 (2008). 10.1038/nature06381
2. A. I. Boukai, Y. Bunimovich, J. Tahir-Kheli, J.-K. Yu, W. A. Goddard, and J. R. Heath, Nature (London) 451, 168 (2008). 10.1038/nature06458
3. D. G. 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). 10.1063/1.1524305
4. R. M. Costescu, D. G. Cahill, F. H. Fabreguette, Z. A. Zechrist, and S. M. George, Science 303, 989 (2004). 10.1126/science.1093711
5. C. Chiritescu, D. G. Cahill, N. Nguyen, D. Johnson, A. Bodapati, P. Keblinski, and P. Zschack, Science 315, 351 (2007). 10.1126/science.1136494
6. B. Li, L. Wang, and G. Casati, Phys. Rev. Lett. 93, 184301 (2004). 10.1103/PhysRevLett.93.184301
7. H. B. G. Casimir, Physica 5, 495 (1938). 10.1016/S0031-8914(38)80162-2
8. J. M. Ziman, Electrons and Phonons (Cambridge University Press, London, 2001).
9. J. P. J. Fourier, The Analytical Theory of Heat (Cambridge University Press, London, 1878).
10. A. Majumdar, J. Heat Transfer 115, 7 (1993). 10.1115/1.2910673
11. G. Chen, Phys. Rev. B 57, 14958 (1998). 10.1103/PhysRevB.57.14958
12. N. Mingo, Phys. Rev. B 68, 113308 (2003). 10.1103/PhysRevB.68.113308
13. N. Mingo, L. Yang, D. Li, and A. Majumdar, Nano Lett. 3, 1713 (2003). 10.1021/nl034721i
14. X. Lu, J. Appl. Phys. 104, 054314 (2008). 10.1063/1.2976314
15. P. Martin, Z. Aksamija, E. Pop, and U. Ravaioli, Phys. Rev. Lett. 102, 125503 (2009). 10.1103/PhysRevLett.102.125503
16. M. Asheghi, Y. K. Leung, S. S. Wong, and K. E. Goodson, Appl. Phys. Lett. 71, 1798 (1997). 10.1063/1.119402
17. W. Liu and M. Asheghi, Appl. Phys. Lett. 84, 3819 (2004). 10.1063/1.1741039
18. Y. S. Ju and K. E. Goodson, Appl. Phys. Lett. 74, 3005 (1999). 10.1063/1.123994
19. W. Liu and M. Asheghi, J. Heat. Transfer 128, 75 (2006). 10.1115/1.2130403
20. P. Hyldgaard and G. D. Mahan, Phys. Rev. B 56, 10754 (1997). 10.1103/PhysRevB.56.10754
21. S. Tamura, Y. Tanaka, and J. H. Maris, Phys. Rev. B 60, 2627 (1999). 10.1103/PhysRevB.60.2627
22. M. I. Flik, B. I. Choi, and K. E. Goodson, J. Heat Transfer 114, 666 (1992). 10.1115/1.2911332
23. A. J. Minnich, J. A. Johnson, A. J. Schmidt, K. Esfarjani, M. S. Dresselhaus, K. A. Nelson, and G. Chen, Phys. Rev. Lett. 107, 095901 (2011). 10.1103/PhysRevLett.107.095901
24. D. G. Cahill, Rev. Sci. Instrum. 61, 802 (1990). 10.1063/1.1141498
25. C. A. Paddock and G. L. Eesley, J. Appl. Phys. 60, 285 (1986). 10.1063/1.337642
26. M. V. Simkin and G. D. Mahan, Phys. Rev. Lett. 84, 927 (2000). 10.1103/PhysRevLett.84.927
27. M. Maldovan, J. Appl. Phys. 110, 034308 (2011). 10.1063/1.3607295
28. M. Maldovan, J. Appl. Phys. 110, 114310 (2011). 10.1063/1.3665211
29. M. Maldovan, J. Appl. Phys. 111, 024311 (2012). 10.1063/1.3677973
30. C. R. Tellier and A. J. Tosser, Size Effects in Thin Films (Elsevier, New York, 1983).
31. D. Li, Y. Wu, P. Kim, L. Shi, P. Yang, and A. Majumdar, Appl. Phys. Lett. 83, 2934 (2003). 10.1063/1.1616981
32. S. Adachi, Handbook on Physical Properties of Semiconductors: Group IV Semiconductors Vol. 1 (Kluwer Academic, 2004).
33. R. Hull, Properties of Crystalline Silicon (INSPEC, 1999).
34. K. Esfarjani, G. Chen, and H. T. Stokes, Phys. Rev. B 84, 085204 (2011). 10.1103/PhysRevB.84.085204
35. S. B. Soffer, J. Appl. Phys. 38, 1710 (1967). 10.1063/1.1709746
36. J. Zou and A. Balandin, J. Appl. Phys. 89, 2932 (2001). 10.1063/1.1345515