Diameter dependence of carbon nanotube thermal conductivity and extension to the graphene limit

Physical Review B - Condensed Matter and Materials Physics

Volumn 82, Issue 16, 2010, Pages

  Lindsay, L ^a,b   Broido, D A ^a   Mingo, Natalio ^c,d  

^a BOSTON COLLEGE   (United States)

^b CHRISTOPHER NEWPORT UNIVERSITY   (United States)

^c CEA GRENOBLE   (France)

^d University of California Santa Cruz   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78149272798     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.161402     Document Type: Article

References (30)

1. K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, Science 306, 666 (2004). 10.1126/science.1102896
2. C. Yu, L. Shi, Z. Yao, D. Li, and A. Majumdar, Nano Lett. 5, 1842 (2005). 10.1021/nl051044e
3. E. Pop, D. Mann, Q. Wang, K. Goodson, and H. Dai, Nano Lett. 6, 96 (2006). 10.1021/nl052145f
4. N. Hamada, A. Sawada, and A. Oshiyama, Phys. Rev. Lett. 68, 1579 (1992). 10.1103/PhysRevLett.68.1579
5. A. A. Balandin, S. Ghosh, W. Bao, I. Calizo, D. Teweldebrhan, F. Miao, and C. N. Lau, Nano Lett. 8, 902 (2008). 10.1021/nl0731872
6. J. H. Seol, I. Jo, A. L. Moore, L. Lindsay, Z. H. Aitken, M. T. Pettes, X. Li, Z. Yao, R. Huang, D. A. Broido, N. Mingo, R. S. Ruoff, and L. Shi, Science 328, 213 (2010). 10.1126/science.1184014
7. S. Reich, C. Thomsen, and J. Maultzsch, Carbon Nanotubes: Basic Concepts and Physical Properties (Wiley-VCH, Weinheim, 2004).
8. L. Lindsay, D. A. Broido, and N. Mingo, Phys. Rev. B 80, 125407 (2009). 10.1103/PhysRevB.80.125407
9. J. X. Cao, X. H. Yan, Y. Xiao, and J. W. Ding, Phys. Rev. B 69, 073407 (2004). 10.1103/PhysRevB.69.073407
10. J. Wang and J.-S. Wang, Appl. Phys. Lett. 88, 111909 (2006). 10.1063/1.2185727
11. L. Lindsay, D. A. Broido, and N. Mingo, Phys. Rev. B 82, 115427 (2010). 10.1103/PhysRevB.82.115427
12. C. T. White, D. H. Robertson, and J. W. Mintmire, Phys. Rev. B 47, 5485 (1993). 10.1103/PhysRevB.47.5485
13. V. N. Popov, V. E. Van Doren, and M. Balkanski, Phys. Rev. B 61, 3078 (2000). 10.1103/PhysRevB.61.3078
14. R. A. Jishi, M. S. Dresselhaus, and G. Dresselhaus, Phys. Rev. B 47, 16671 (1993). 10.1103/PhysRevB.47.16671
15. N. Bozovic, I. Bozovic, and M. Damnjanovic, J. Phys. A 18, 923 (1985) 10.1088/0305-4470/18/6/015
16. M. Damnjanovic, I. Bozovic, and N. Bozovic, J. Phys. A 17, 747 (1984). 10.1088/0305-4470/17/4/016
17. S. P. Hepplestone and G. P. Srivastava, Phys. Rev. B 74, 165420 (2006). 10.1103/PhysRevB.74.165420
18. Y. Gu and Y. Chen, Phys. Rev. B 76, 134110 (2007). 10.1103/PhysRevB.76. 134110
19. We note that the graphene selection rule does not emerge from the widely used long-wavelength approximation to the three-phonon-scattering rates such as employed in Refs..
20. The form of the BTE presented here is equivalent to that in Refs..
21. N. Mingo and D. A. Broido, Nano Lett. 5, 1221 (2005). 10.1021/nl050714d
22. J. Tersoff, Phys. Rev. Lett. 61, 2879 (1988). 10.1103/PhysRevLett.61.2879
23. L. Lindsay and D. A. Broido, Phys. Rev. B 81, 205441 (2010). 10.1103/PhysRevB.81.205441
24. In the minimization, the systems are taken to have infinite length; edge effects are not included.
25. A. Ward and D. A. Broido, Phys. Rev. B 81, 085205 (2010). 10.1103/PhysRevB.81.085205
26. J. F. Nye, Physical Properties of Crystals: Their Representation by Tensors and Matrices (Clarendon Press, Oxford, 1957).
27. A small anisotropy in κ g r a p h e n e is found in armchair and zigzag directions, which arises from the boundary scattering.
28. J. Callaway, Phys. Rev. 113, 1046 (1959). 10.1103/PhysRev.113.1046
29. J. Shiomi and S. Maruyama, Jpn. J. Appl. Phys. 47, 2005 (2008). 10.1143/JJAP.47.2005
30. J. A. Thomas, R. M. Iutzi, and A. J. H. McGaughey, Phys. Rev. B 81, 045413 (2010). 10.1103/PhysRevB.81.045413