Full-dispersion Monte Carlo simulation of phonon transport in micron-sized graphene nanoribbons

Journal of Applied Physics

Volumn 116, Issue 16, 2014, Pages

  Mei, S ^a   Maurer, L N ^a   Aksamija, Z ^b   Knezevic, I ^a  

^a University of Wisconsin Madison   (United States)

^b University of Massachusetts   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN EQUATION; GRAIN BOUNDARIES; GRAPHENE; GRAPHENE NANORIBBON; MONTE CARLO METHODS; NANORIBBONS; PHONONS; STOCHASTIC SYSTEMS;

ATOMISTIC CALCULATIONS; BOLTZMANN TRANSPORT EQUATION; DIFFUSIVE CROSSOVERS; GRAIN BOUNDARY SCATTERING; GRAPHENE NANORIBBONS; MONTE CARLO SIMULATION TECHNIQUE; SCATTERING MECHANISMS; STOCHASTIC SOLUTION;

THERMAL CONDUCTIVITY;

EID: 84908246387     PISSN: 00218979     EISSN: 10897550     Source Type: Journal    
DOI: 10.1063/1.4899235     Document Type: Article

References (120)

1. 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
2. Y. Zhang, Y.-W. Tan, H. L. Stormer, and P. Kim, Nature 438, 201 (2005). 10.1038/nature04235
3. 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
4. S. Ghosh, I. Calizo, D. Teweldebrhan, E. P. Pokatilov, D. L. Nika, A. A. Balandin, W. Bao, F. Miao, and C. N. Lau, Appl. Phys. Lett. 92, 151911 (2008). 10.1063/1.2907977
5. R. Prasher, Science 328, 185 (2010). 10.1126/science.1188998
6. I. W. Frank, D. M. Tanenbaum, A. M. van der Zande, and P. L. McEuen, J. Vac. Sci. Technol., B 25, 2558 (2007). 10.1116/1.2789446
7. C. Lee, X. Wei, J. W. Kysar, and J. Hone, Science 321, 385 (2008). 10.1126/science.1157996
8. J.-U. Lee, D. Yoon, H. Kim, S. W. Lee, and H. Cheong, Phys. Rev. B 83, 081419 (2011). 10.1103/PhysRevB.83.081419
9. 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 (2011). 10.1021/nn102915x
10. D. L. Nika, S. Ghosh, E. P. Pokatilov, and A. A. Balandin, Appl. Phys. Lett. 94, 203103 (2009). 10.1063/1.3136860
11. G. A. Slack, J. Appl. Phys. 35, 3460 (1964). 10.1063/1.1713251
12. E. Pop, V. Varshney, and A. K. Roy, MRS Bull. 37, 1273 (2012). 10.1557/mrs.2012.203
13. K. A. Ritter and J. W. Lyding, Nature Mater. 8, 235 (2009). 10.1038/nmat2378
14. W. Liu, B. L. Jackson, J. Zhu, C. Q. Miao, C.-H. Chung, Y. J. Park, K. Sun, J. Woo, and Y.-H. Xie, ACS Nano 4, 3927 (2010). 10.1021/nn100728p
15. X. Li, X. Wang, L. Zhang, S. Lee, and H. Dai, Science 319, 1229 (2008). 10.1126/science.1150878
16. S. Datta, D. Strachan, S. Khamis, and A. Johnson, Nano Lett. 8, 1912 (2008). 10.1021/nl080583r
17. L. Jiao, L. Zhang, X. Wang, G. Diankov, and H. Dai, Nature 458, 877 (2009). 10.1038/nature07919
18. D. V. Kosynkin, A. L. Higginbotham, A. Sinitskii, J. R. Lomeda, A. Dimiev, B. K. Price, and J. M. Tour, Nature 458, 872 (2009). 10.1038/nature07872
19. J. Cai, P. Ruffieux, R. Jaafar, M. Bieri, T. Braun, S. Blankenburg, M. Muoth, A. P. Seitsonen, M. Saleh, X. Feng, K. Müllen, and R. Fasel, Nature 466, 470 (2010). 10.1038/nature09211
20. M. Sprinkle, M. Ruan, Y. Hu, J. Hankinson, M. Rubio-Roy, B. Zhang, X. Wu, C. Berger, and W. A. de Heer, Nat. Nanotechnol. 5, 727 (2010). 10.1038/nnano.2010.192
21. J. G. Son, M. Son, K.-J. Moon, B. H. Lee, J.-M. Myoung, M. S. Strano, M.-H. Ham, and C. A. Ross, Adv. Mater. 25, 4723 (2013). 10.1002/adma.201300813
22. A. N. Abbas, G. Liu, B. Liu, L. Zhang, H. Liu, D. Ohlberg, W. Wu, and C. Zhou, ACS Nano 8, 1538 (2014). 10.1021/nn405759v
23. D. L. Nika and A. A. Balandin, J. Phys.: Condens. Matter 24, 233203 (2012). 10.1088/0953-8984/24/23/233203
24. 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
25. S. Chen, Q. Wu, C. Mishra, J. Kang, H. Zhang, K. Cho, W. Cai, A. A. Balandin, and R. S. Ruoff, Nature Mater. 11, 203 (2012). 10.1038/nmat3207
26. A. A. Balandin and D. L. Nika, Mater. Today 15, 266 (2012). 10.1016/S1369-7021(12)70117-7
27. X. Xu, L. F. C. Pereira, Y. Wang, J. Wu, K. Zhang, X. Zhao, S. Bae, C. Tinh Bui, R. Xie, J. T. L. Thong, B. H. Hong, K. P. Loh, D. Donadio, B. Li, and B. Ozyilmaz, Nat. Commun. 5, 3689 (2014). 10.1038/ncomms4689
28. M.-H. Bae, Z. Li, Z. Aksamija, P. N. Martin, F. Xiong, Z.-Y. Ong, I. Knezevic, and E. Pop, Nat. Commun. 4, 1734 (2013). 10.1038/ncomms2755
29. Z. Aksamija and I. Knezevic, Appl. Phys. Lett. 98, 141919 (2011). 10.1063/1.3569721
30. Z. Aksamija and I. Knezevic, Phys. Rev. B 86, 165426 (2012). 10.1103/PhysRevB.86.165426
31. D. Nika, E. Pokatilov, A. Askerov, and A. Balandin, Phys. Rev. B 79, 155413 (2009). 10.1103/PhysRevB.79.155413
32. W. Zhang, T. S. Fisher, and N. Mingo, Numer. Heat Transfer, Part B 51, 333 (2007). 10.1080/10407790601144755
33. J.-S. Wang, B. Agarwalla, H. Li, and J. Thingna, Front. Phys. (published online). 10.1007/s11467-013-0340-x
34. Y. Xu, X. Chen, B.-L. Gu, and W. Duan, Appl. Phys. Lett. 95, 233116 (2009). 10.1063/1.3272678
35. Y. Xu, X. Chen, J.-S. Wang, B.-L. Gu, and W. Duan, Phys. Rev. B 81, 195425 (2010). 10.1103/PhysRevB.81.195425
36. H. Sevinçli and G. Cuniberti, Phys. Rev. B 81, 113401 (2010). 10.1103/PhysRevB.81.113401
37. Z. Huang, T. S. Fisher, and J. Y. Murthy, J. Appl. Phys. 108, 094319 (2010). 10.1063/1.3499347
38. J.-W. Jiang, B.-S. Wang, and J.-S. Wang, Appl. Phys. Lett. 98, 113114 (2011). 10.1063/1.3567768
39. Z.-X. Xie, K.-Q. Chen, and W. Duan, J. Phys.: Condens. Matter 23, 315302 (2011). 10.1088/0953-8984/23/31/315302
40. Z. W. Tan, J.-S. Wang, and C. K. Gan, Nano Lett. 11, 214 (2011). 10.1021/nl103508m
41. P. Scuracchio, S. Costamagna, F. M. Peeters, and A. Dobry, Phys. Rev. B 90, 035429 (2014). 10.1103/PhysRevB.90.035429
42. J. Lan, Y. Cai, G. Zhang, J.-S. Wang, and Y.-W. Zhang, J. Phys. D: Appl. Phys. 47, 265303 (2014). 10.1088/0022-3727/47/26/265303
43. H. Karamitaheri, M. Pourfath, R. Faez, and H. Kosina, IEEE Trans. Electron Devices 60, 2142 (2013). 10.1109/TED.2013.2262049
44. M. Luisier, Phys. Rev. B 86, 245407 (2012). 10.1103/PhysRevB.86.245407
45. Z. Guo, D. Zhang, and X.-G. Gong, Appl. Phys. Lett. 95, 163103 (2009). 10.1063/1.3246155
46. A. Cao, J. Appl. Phys. 111, 083528 (2012). 10.1063/1.4705510
47. C. Yu and G. Zhang, J. Appl. Phys. 113, 044306 (2013). 10.1063/1.4788813
48. M. Park, S.-C. Lee, and Y.-S. Kim, J. Appl. Phys. 114, 053506 (2013). 10.1063/1.4817175
49. W. J. Evans, L. Hu, and P. Keblinski, Appl. Phys. Lett. 96, 203112 (2010). 10.1063/1.3435465
50. Y. Wang, B. Qiu, and X. Ruan, Appl. Phys. Lett. 101, 013101 (2012). 10.1063/1.4732155
51. J.-W. Jiang, J. Lan, J.-S. Wang, and B. Li, J. Appl. Phys. 107, 054314 (2010). 10.1063/1.3329541
52. U. Ray and G. Balasubramanian, Chem. Phys. Lett. 599, 154 (2014). 10.1016/j.cplett.2014.03.038
53. A. V. Savin, Y. S. Kivshar, and B. Hu, Phys. Rev. B 82, 195422 (2010). 10.1103/PhysRevB.82.195422
54. J. Hu, S. Schiffli, A. Vallabhaneni, X. Ruan, and Y. P. Chen, Appl. Phys. Lett. 97, 133107 (2010). 10.1063/1.3491267
55. V. E. Dorgan, A. Behnam, H. J. Conley, K. I. Bolotin, and E. Pop, Nano Lett. 13, 4581 (2013). 10.1021/nl400197w
56. A. A. Balandin, Nature Mater. 10, 569 (2011). 10.1038/nmat3064
57. G. Chen, J. Nanopart. Res. 2, 199 (2000). 10.1023/A:1010003718481
58. S. V. J. Narumanchi, J. Y. Murthy, and C. H. Amon, J. Heat Transfer 127, 713 (2005). 10.1115/1.1924571
59. J. Y. Murthy and S. R. Mathur, J. Heat Transfer 124, 1176 (2002). 10.1115/1.1518495
60. S. V. J. Narumanchi, J. Y. Murthy, and C. H. Amon, J. Heat Transfer 126, 946 (2004). 10.1115/1.1833367
61. R. Yang, G. Chen, M. Laroche, and Y. Taur, J. Heat Transfer 127, 298 (2005). 10.1115/1.1857941
62. S. Sinha, E. Pop, R. W. Dutton, and K. E. Goodson, J. Heat Transfer 128, 638 (2006). 10.1115/1.2194041
63. D. Baillis and J. Randrianalisoa, Int. J. Heat Mass Transfer 52, 2516 (2009). 10.1016/j.ijheatmasstransfer.2009.01.017
64. A. Nabovati, D. P. Sellan, and C. H. Amon, J. Comput. Phys. 230, 5864 (2011). 10.1016/j.jcp.2011.03.061
65. Z. Aksamija and I. Knezevic, Phys. Rev. B 90, 035419 (2014). 10.1103/PhysRevB.90.035419
66. D. Terris, K. Joulain, D. Lemonnier, and D. Lacroix, J. Appl. Phys. 105, 073516 (2009). 10.1063/1.3086409
67. D. A. Broido, M. Malorny, G. Birner, N. Mingo, and D. A. Stewart, Appl. Phys. Lett. 91, 231922 (2007). 10.1063/1.2822891
68. L. Lindsay, D. A. Broido, and N. Mingo, Phys. Rev. B 82, 115427 (2010). 10.1103/PhysRevB.82.115427
69. L. Lindsay, D. A. Broido, and N. Mingo, Phys. Rev. B 83, 235428 (2011). 10.1103/PhysRevB.83.235428
70. L. Lindsay, W. Li, J. Carrete, N. Mingo, D. A. Broido, and T. L. Reinecke, Phys. Rev. B 89, 155426 (2014). 10.1103/PhysRevB.89.155426
71. S. Mazumder and A. Majumdar, J. Heat Transfer 123, 749 (2001). 10.1115/1.1377018
72. J. Randrianalisoa and D. Baillis, J. Heat Transfer 130, 072404 (2008). 10.1115/1.2897925
73. A. Mittal and S. Mazumder, J. Heat Transfer 132, 052402 (2010). 10.1115/1.4000447
74. J.-P. M. Péraud and N. G. Hadjiconstantinou, Phys. Rev. B 84, 205331 (2011). 10.1103/PhysRevB.84.205331
75. K. Kukita and Y. Kamakura, J. Appl. Phys. 114, 154312 (2013). 10.1063/1.4826367
76. K. Kukita, I. Adisusilo, and Y. Kamakura, J. Comput. Electron. 13, 264 (2014). 10.1007/s10825-013-0511-6
77. Y. Chen, D. Li, J. R. Lukes, and A. Majumdar, J. Heat Transfer 127, 1129 (2005). 10.1115/1.2035114
78. D. Lacroix, K. Joulain, and D. Lemonnier, Phys. Rev. B 72, 064305 (2005). 10.1103/PhysRevB.72.064305
79. D. Lacroix, K. Joulain, D. Terris, and D. Lemonnier, Appl. Phys. Lett. 89, 103104 (2006). 10.1063/1.2345598
80. A. H. Davoody, E. B. Ramayya, L. N. Maurer, and I. Knezevic, Phys. Rev. B 89, 115313 (2014). 10.1103/PhysRevB.89.115313
81. S. Wolf, N. Neophytou, and H. Kosina, J. Appl. Phys. 115, 204306 (2014). 10.1063/1.4879242
82. M.-S. Jeng, R. Yang, D. Song, and G. Chen, J. Heat Transfer 130, 042410 (2008). 10.1115/1.2818765
83. H. Hamzeh and F. Aniel, J. Appl. Phys. 109, 063511 (2011). 10.1063/1.3553409
84. W. R. Deskins and A. El-Azab, Model. Simul. Mater. Sci. Eng. 21, 025013 (2013). 10.1088/0965-0393/21/2/025013
85. T. Hori, G. Chen, and J. Shiomi, Appl. Phys. Lett. 104, 021915 (2014). 10.1063/1.4862323
86. V. Jean, S. Fumeron, K. Termentzidis, S. Tutashkonko, and D. Lacroix, J. Appl. Phys. 115, 024304 (2014). 10.1063/1.4861410
87. R. Peterson, J. Heat Transfer 116, 815 (1994). 10.1115/1.2911452
88. 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
89. D. Lacroix, K. Joulain, D. Terris, and D. Lemonnier, J. Phys.: Conf. Ser. 92, 012078 (2007). 10.1088/1742-6596/92/1/012078
90. E. B. Ramayya, L. N. Maurer, A. H. Davoody, and I. Knezevic, Phys. Rev. B 86, 115328 (2012). 10.1103/PhysRevB.86.115328
91. J. M. Ziman, Electrons and Phonons: The Theory of Transport Phenomena in Solids (Clarendon Press, Oxford, 1960).
92. J. Maultzsch, S. Reich, C. Thomsen, H. Requardt, and P. Ordejón, Phys. Rev. Lett. 92, 075501 (2004). 10.1103/PhysRevLett.92.075501
93. M. Mohr, J. Maultzsch, E. Dobardžić, S. Reich, I. Milošević, M. Damnjanović, A. Bosak, M. Krisch, and C. Thomsen, Phys. Rev. B 76, 035439 (2007). 10.1103/PhysRevB.76.035439
94. L. Malard, M. Pimenta, G. Dresselhaus, and M. Dresselhaus, Phys. Rep. 473, 51 (2009). 10.1016/j.physrep.2009.02.003
95. R. Saito, G. Dresselhaus, and M. S. Dresselhaus, Physical Properties of Carbon Nanotubes (Imperial College Press, London, 1998).
96. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders College, Philadelphia, 1976).
97. R. Sahoo and R. R. Mishra, J. Exp. Theor. Phys. 114, 805 (2012). 10.1134/S1063776112040152
98. A. Grüneis, R. Saito, T. Kimura, L. Cançado, M. Pimenta, A. Jorio, A. Souza Filho, G. Dresselhaus, and M. Dresselhaus, Phys. Rev. B 65, 155405 (2002). 10.1103/PhysRevB.65.155405
99. P. G. Klemens, J. Wide Bandgap Mater. 7, 332 (2000). 10.1106/7FP2-QBLN-TJPA-NC66
100. Z. Wang, R. Xie, C. T. Bui, D. Liu, X. Ni, B. Li, and J. T. L. Thong, Nano Lett. 11, 113 (2011). 10.1021/nl102923q
101. C. Kittel, Introduction to Solid State Physics, 8th ed. (John Wiley & Sons, Inc., New York, 2004).
102. G. Gilat and L. Raubenheimer, Phys. Rev. 144, 390 (1966). 10.1103/PhysRev.144.390
103. T. Klitsner, J. VanCleve, H. Fischer, and R. Pohl, Phys. Rev. B 38, 7576 (1988). 10.1103/PhysRevB.38.7576
104. 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
105. C. Faugeras, B. Faugeras, M. Orlita, M. Potemski, R. R. Nair, and A. K. Geim, ACS Nano 4, 1889 (2010). 10.1021/nn9016229
106. K. Yoon, G. Hwang, J. Chung, H. G. Kim, O. Kwon, K. D. Kihm, and J. S. Lee, Carbon 76, 77 (2014). 10.1016/j.carbon.2014.04.051
107. K. Saito, J. Nakamura, and A. Natori, Phys. Rev. B 76, 115409 (2007). 10.1103/PhysRevB.76.115409
108. E. Muñoz, J. Lu, and B. I. Yakobson, Nano Lett. 10, 1652 (2010). 10.1021/nl904206d
109. H. Tomita and J. Nakamura, J. Vac. Sci. Technol., B 31, 04D104 (2013). 10.1116/1.4804617
110. B. Kong, S. Paul, M. Nardelli, and K. Kim, Phys. Rev. B 80, 033406 (2009). 10.1103/PhysRevB.80.033406
111. X. Jia, M. Hofmann, and V. Meunier, Science 323, 1701 (2009). 10.1126/science.1166862
112. K. Kim, S. Coh, C. Kisielowski, M. F. Crommie, S. G. Louie, M. L. Cohen, and A. Zettl, Nat. Commun. 4, 2723 (2013). 10.1038/ncomms3723
113. Ç. Ö. Girit, J. C. Meyer, R. Erni, M. D. Rossell, C. Kisielowski, L. Yang, C.-H. Park, M. F. Crommie, M. L. Cohen, S. G. Louie, and A. Zettl, Science 323 (5922), 1705-1708 (2009). 10.1126/science.1166999
114. J. Wang, X.-M. Wang, Y.-F. Chen, and J.-S. Wang, J. Phys.: Condens. Matter 24, 295403 (2012). 10.1088/0953-8984/24/29/295403
115. P. Klemens and D. Pedraza, Carbon 32, 735 (1994). 10.1016/0008-6223(94)90096-5
116. X. Li, W. Cai, J. An, S. Kim, J. Nah, D. Yang, R. Piner, A. Velamakanni, I. Jung, E. Tutuc, S. K. Banerjee, L. Colombo, and R. S. Ruoff, Science 324, 1312 (2009). 10.1126/science.1171245
117. A. Y. Serov, Z.-Y. Ong, and E. Pop, Appl. Phys. Lett. 102, 033104 (2013). 10.1063/1.4776667
118. N. Petrone, C. R. Dean, I. Meric, A. M. van der Zande, P. Y. Huang, L. Wang, D. Muller, K. L. Shepard, and J. Hone, Nano Lett. 12, 2751 (2012). 10.1021/nl204481s
119. G.-H. Lee, R. C. Cooper, S. J. An, S. Lee, A. van der Zande, N. Petrone, A. G. Hammerberg, C. Lee, B. Crawford, W. Oliver, J. W. Kysar, and J. Hone, Science 340, 1073 (2013). 10.1126/science.1235126
120. I. Vlassiouk, S. Smirnov, I. Ivanov, P. F. Fulvio, S. Dai, H. Meyer, M. Chi, D. Hensley, P. Datskos, and N. V. Lavrik, Nanotechnology 22, 275716 (2011). 10.1088/0957-4484/22/27/275716