On the accuracy of classical and long wavelength approximations for phonon transport in graphene

Journal of Applied Physics

Volumn 110, Issue 11, 2011, Pages

  Singh, Dhruv ^a   Murthy, Jayathi Y ^a   Fisher, Timothy S ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANHARMONICITIES; BOSE-EINSTEIN DISTRIBUTION; CLASSICAL APPROXIMATION; CRITICAL EVALUATION; INTERATOMIC FORCES; LONG WAVELENGTH; LONG-WAVELENGTH APPROXIMATION; PHONON RELAXATION; PHONON TRANSPORT; ROOM TEMPERATURE; THREE-PHONON SCATTERING;

FREQUENCY BANDS; GRAPHENE; PHONON SCATTERING; PHONONS; STATISTICAL MECHANICS;

THERMAL CONDUCTIVITY;

EID: 84859309155     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3665226     Document Type: Article

References (52)

1. S. V. Morozov, K. S. Novoselov, M. I. Katsnelson, F. Schedin, D. C. Elias, J. A. Jaszczak, and A. K. Geim, Phys. Rev. Lett. 100, 016602 (2008). 10.1103/PhysRevLett.100.016602 (Pubitemid 351388329)
2. T. Drkop, S. A. Getty, E. Cobas, and M. S. Fuhrer, Nano Lett. 4, 35 (2003). 10.1021/nl034841q
3. R. Martel, T. Schmidt, H. R. Shea, T. Hertel, and P. Avouris, Appl. Phys. Lett. 73, 2447 (1998). 10.1063/1.122477 (Pubitemid 128672420)
4. J.-H. Chen, C. Jang, S. Xiao, M. Ishigami, and M. S. Fuhrer, Nat. Nanotechnol. 3, 206 (2008). 10.1038/nnano.2008.58 (Pubitemid 351499398)
5. K. I. Bolotin, K. J. Sikes, J. Hone, H. L. Stormer, and P. Kim, Phys. Rev. Lett. 101, 096802 (2008). 10.1103/PhysRevLett.101.096802
6. M. Freitag, M. Steiner, Y. Martin, V. Perebeinos, Z. Chen, J. C. Tsang, and P. Avouris, Nano Lett. 9, 1883 (2009). 10.1021/nl803883h
7. M. Steiner, M. Freitag, V. Perebeinos, J. C. Tsang, J. P. Small, M. Kinoshita, D. Yuan, J. Liu, and P. Avouris, Nat. Nanotechnol. 4, 320 (2009). 10.1038/nnano.2009.22
8. C. Neto, F. Guinea, N. Peres, K. Novoselov, and A. Geim, Rev. Mod. Phys. 81, 109 (2009). 10.1103/RevModPhys.81.109
9. K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos, and A. A. Firsov, Nature 438, 197 (2005). 10.1038/nature04233 (Pubitemid 41599867)
10. 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
11. S. Ghosh, W. Bao, D. L. Nika, S. Subrina, E. P. Pokatilov, C. N. Lau, and A. A. Balandin, Nature Mater. 9, 555 (2010). 10.1038/nmat2753
12. S. Chen, A. L. Moore, W. Cai, J. W. Suk, J. An, C. Mishra, C. Amos, C. W. Magnuson, J. Kang, L. Shi, and R. S. Ruoff, ACS Nano 5, 321 (2010). 10.1021/nn102915x
13. W. Cai, A. L. Moore, Y. Zhu, X. Li, S. Chen, L. Shi, and R. S. Ruoff, Nano Lett. 10, 1645 (2010). 10.1021/nl9041966
14. J. H. Seol, I. Jo, A. L. Moore, L. Lindsay, Z. H. Aitken, M. T. Pettes, X. Li, Z. Yao, R. Huang, D. Broido, N. Mingo, R. S. Ruoff, and L. Shi, Science 328, 213 (2010). 10.1126/science.1184014
15. Z. Wang, R. Xie, C. T. Bui, D. Liu, X. Ni, B. Li, and J. T. L. Thong, Nano Lett. 11, 113 (2010). 10.1021/nl102923q
16. J. Xu and T. Fisher, Int. J. Heat Mass Transfer 49, 1658 (2006). 10.1016/j.ijheatmasstransfer.2005.09.039
17. G. A. Slack, Phys. Rev. 127, 694 (1962). 10.1103/PhysRev.127.694
18. J. Maultzsch, S. Reich, C. Thomsen, H. Requardt, and P. Ordejn, Phys. Rev. Lett. 92, 075501 (2004). 10.1103/PhysRevLett.92.075501
19. D. Singh, J. Y. Murthy, and T. S. Fisher, J. Appl. Phys. 110, 044317 (2011). 10.1063/1.3622300
20. D. Singh, J. Y. Murthy, and T. S. Fisher, J. Appl. Phys. 110, 094312 (2011).
21. D.-H. Chae, B. Krauss, K. von Klitzing, and J. H. Smet, Nano Lett. 10, 466 (2009). 10.1021/nl903167f
22. M.-H. Bae, Z.-Y. Ong, D. Estrada, and E. Pop, Nano Lett. 10, 4787 (2010). 10.1021/nl1011596
23. Z. Guo, D. Zhang, and X.-G. Gong, Appl. Phys. Lett. 95, 163103 (2009). 10.1063/1.3246155
24. J. Hu, X. Ruan, and Y. P. Chen, Nano Lett. 9, 2730 (2009). 10.1021/nl901231s
25. J. Hu, S. Schiffli, A. Vallabhaneni, X. Ruan, and Y. P. Chen, Appl. Phys. Lett. 97, 133107 (2010). 10.1063/1.3491267
26. W. J. Evans, L. Hu, and P. Keblinski, Appl. Phys. Lett. 96, 203112 (2010). 10.1063/1.3435465
27. L. Lindsay, D. A. Broido, and N. Mingo, Phys. Rev. B 82, 115427 (2010). 10.1103/PhysRevB.82.115427
28. D. L. Nika, E. P. Pokatilov, A. S. Askerov, and A. A. Balandin, Phys. Rev. B 79, 155413 (2009). 10.1103/PhysRevB.79.155413
29. B. D. Kong, S. Paul, M. B. Nardelli, and K. W. Kim, Phys. Rev. B 80, 033406 (2009). 10.1103/PhysRevB.80.033406
30. P. G. Klemens and D. F. Pedraza, Carbon 32, 735 (1994). 10.1016/0008-6223(94)90096-5
31. Z. Aksamija and I. Knezevic, Appl. Phys. Lett. 98, 141919 (2011). 10.1063/1.3569721
32. L. Sun and J. Y. Murthy, Appl. Phys. Lett. 89, 171919 (2006). 10.1063/1.2364062 (Pubitemid 44656657)
33. A. S. Henry and G. Chen, J. Comput. Theor. Nanosci. 5, 141 (2008).
34. H. Zhao and J. B. Freund, J. Appl. Phys. 104, 033514 (2008). 10.1063/1.2963721
35. J. E. Turney, A. J. H. McGaughey, and C. H. Amon, Phys. Rev. B 79, 224305 (2009). 10.1103/PhysRevB.79.224305
36. F. Seitz and D. Turnbull, Solid State Physics (Academic, New York, 1958).
37. N. Mingo, L. Yang, D. Li, and A. Majumdar, Nano Lett. 3, 1713 (2003). 10.1021/nl034721i (Pubitemid 38037189)
38. J. A. Pascual-Gutierrez, J. Y. Murthy, and R. Viskanta, J. Appl. Phys. 106, 063532 (2009). 10.1063/1.3195080
39. D. A. Broido, M. Malorny, G. Birner, N. Mingo, and D. A. Stewart, Appl. Phys. Lett. 91, 231922 (2007). 10.1063/1.2822891 (Pubitemid 350234445)
40. A. Chernatynskiy and S. R. Phillpot, Phys. Rev. B 82, 134301 (2010). 10.1103/PhysRevB.82.134301
41. J. E. Turney, E. S. Landry, A. J. H. McGaughey, and C. H. Amon, Phys. Rev. B 79, 064301 (2009). 10.1103/PhysRevB.79.064301
42. A. Ward and D. A. Broido, Phys. Rev. B 81, 085205 (2010). 10.1103/PhysRevB.81.085205
43. L. Lindsay, D. A. Broido, and N. Mingo, Phys. Rev. B 80, 125407 (2009). 10.1103/PhysRevB.80.125407
44. C. Kittel, Introduction to Solid State Physics (American Institute of Physics, New York, 1995), Vol. 12.
45. Y. J. Han and P. G. Klemens, Phys. Rev. B 48, 6033 (1993). 10.1103/PhysRevB.48.6033
46. J. Tersoff, Phys. Rev. Lett. 61, 2879 (1988). 10.1103/PhysRevLett.61.2879
47. L. Lindsay and D. A. Broido, Phys. Rev. B 81, 205441 (2010). 10.1103/PhysRevB.81.205441
48. Z. Huang, T. Fisher, and J. Murthy, J. Appl. Phys. 109, 074305 (2011). 10.1063/1.3556454
49. W. Zhong, M. Zhang, B. Ai, and D. Zheng, Appl. Phys. Lett. 98, 113107 (2011). 10.1063/1.3567415
50. A. Chernatynskiy, J. E. Turney, A. J. H. McGaughey, C. H. Amon, and S. R. Phillpot, J. Am. Ceram. Soc. 94, 3523 (2011). 10.1111/j.1551-2916.2011.04743.x
51. G. P. Srivastava, The Physics of Phonons (Adam Hilger, Bristol, Philadelphia, PA, 1990).
52. D. A. Broido, A. Ward, and N. Mingo, Phys. Rev. B 72, 014308 (2005). 10.1103/PhysRevB.72.014308