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利用非平衡格林函数方法研究了由半无限长扶手椅型和锯齿型边界石墨纳米带连接而成的L型石墨纳米结的热输运性质.结果表明,L型石墨纳米结的热导依赖于L型石墨纳米结的夹角和石墨纳米带的宽度.在L型石墨纳米结的夹角从30°增加到90°再增加到150°过程中,其热导显著增大.夹角为90°的L型石墨纳米结的热导随着扶手椅型纳米带宽度增加时,在低温区热导随着宽度的增大而降低,在高温区热导随宽度的增大而升高.对于夹角为150°的L型石墨纳米结,其热导无论是在低温区还是在高温区都随着锯齿型纳米带宽度的增加而降低.利用声子透射谱对这些热输运现象进行了合理的解释.研究结果阐明了不同L型石墨纳米结中的热输运机理,为设计基于石墨纳米结的热输运器件提供了重要的物理模型和理论依据.By using nonequilibrium Green’s function method, the thermal transport properties of L-shaped graphene nano-junctions consisting of a semi-infinite armchair-edged nanoribbon and a semi-infinite zigzag-edged nanoribbon were studied. It is shown that the thermal conductance of the L-shaped graphene nano-junctions depends on the included angles and the widths of the graphene nanoribbons. As the angle of L-shaped graphene nano-junctions increases from 30° to 90° and further to 150°, the thermal conductance obviously increases. For the right-angle L-shape graphene nano-junction, the thermal conductance undergoes a transition with the increasing of the widths of the armchair nanoribbons. The thermal conductance decreases at low temperature region and increases at high temperature region. Meanwhile the thermal conductance of L-shape graphene nano-junction with included angle 150° decreases by increasing the widths of zigzag-edged nanoribbons in both low and high temperature regions. These thermal transport phenomena can be reasonably explained by analyzing the phonon transmission coefficient. We illustrate the mechanisms of thermal transport for different L-shaped graphene nano-junctions. The results provide significant physical models and theoretical basis for designing the thermal devices based on the graphene nano-junctions.
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Keywords:
- graphene nano-junction /
- thermal transport /
- thermal conductivity
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[1] Chen J H, Jang C, Xiao S, Ishigani M, Fuhrer M S 2008 Nature Nanotech. 3 206
[2] Du X, Skachko I, Barker A, Andrei E Y 2008 Nature Nanotech. 3 491
[3] Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V, Firsov A A 2004 Science 306 666
[4] Zhang Y B, Tan Y W, Stormer H L, Kim P 2005 Nature 438 201
[5] Huang L F, Li Y L, Ni M Y, Wang X L, Zhang G R, Zeng Z 2009 Acta Phys. Sin. 58 S306 (in Chinese) [黄良锋、李延龄、倪美燕、王贤龙、张国仁、曾 雉 2009 物理学报 58 S306]
[6] Geima A K, Novoselov K S 2007 Nature Mater. 6 183
[7] Hu H, Cai J M, Zhang C D, Gao M, Pan Y, Du S X, Sun Q F, Niu Q, Xie X C, Gao H J 2010 Chin. Phys. B 19 037202
[8] Luo T, Zhu W, Shi Q W, Wang X P 2008 Acta Phys. Sin. 57 3775 (in Chinese) [罗 涛、朱 伟、石勤伟、王晓平 2008 物理学报 57 3775]
[9] Berger C, Song Z M, Li X B, Wu X S, Brown N, Naud C, Mayou D, Li T B, Hass J, Marchenkov A N, Conrad E H, First P N, de Heer W A 2006 Science 312 1191
[10] Campos L C, Manfrinato V R, Sanchez-Yamagishi J D, Kong J, Jarillo-Herrero P 2009 Nano Lett. 9 2600
[11] Liu S P, Zhou F, Jin A Z, Yang H F, Ma Y J, Li H, Gu C Z, Lü L, Jiang B, Zheng Q S, Wang S, Peng L M 2005 Acta Phys. Sin. 54 4251 (in Chinese) [刘首鹏、周 锋、金爱子、杨海方、马拥军、李 辉、顾长志、吕 力、姜 博、郑泉水、王 胜、彭练矛 2005 物理学报 54 4251]
[12] Tang C, Ji L, Meng L J, Sun L Z, Zhang K W, Zhong J X 2009 Acta Phys. Sin. 58 7815 (in Chinese) [唐 超、吉 璐、孟利军、孙立忠、张凯旺、钟建新 2009 物理学报 58 7815]
[13] Kobayashi Y, Fukui K, Enoki T, Kusakabe K, Kaburagi Y 2005 Phys. Rev. B 71 193406
[14] Li A H, Zhang K W, Meng L J, Li J, Liu W L, Zhong J X 2008 Acta Phys. Sin. 57 4356 (in Chinese) [李爱华、张凯旺、孟利军、李 俊、刘文亮、钟建新 2008 物理学报 57 4356]
[15] Son Y W, Cohen M L, Louie S G 2006 Nature 444 347
[16] Chen Y P, Xie Y E, Yan X H 2008 J. Appl. Phys. 103 063711
[17] Chen Y P, Xie Y E, Sun L Z, Zhong J X 2008 Appl. Phys. Lett. 93 092104
[18] Chen Y P, Xie Y E, Zhong J X 2008 Phys. Lett. A 372 5928
[19] Yan Q M, Huang B, Yu J, Zheng F W, Zang J, Wu J, Gu B L, Liu F, Duan W H 2007 Nano Lett. 7 1469
[20] Zhang Z Z, Wu Z H, Chang K, Peeters F M 2009 Nanotechnology 20 415203
[21] Chen Y P, Xie Y E, Wei X L, Sun L Z, Zhong J X 2010 Solid State Communications 150 675
[22] Tan C L, Tan Z B, Ma L, Chen J, Yang F, Qu F M, Liu G T, Yang H F, Yang C L, Lü L 2009 Acta phys. Sin. 58 5726 (in Chinese) [谭长玲、谭振兵、马 丽、陈 军、杨 帆、屈凡明、刘广同、杨海方、杨昌黎、吕 力 2009 物理学报 58 5726]
[23] Zhou B H, Duan Z G, Zhou B L, Zhou G H 2010 Chin. Phys. B 19 037204
[24] Balandin A A, Ghosh S, Bao W Z, Calizo I, Teweldebrhan D, Miao F, Lau C N 2008 Nano Lett. 8 902
[25] Nika D L, Pokatilov E P, Askerov A S, Balandin A A 2009 Phys. Rev. B 79 155413
[26] Jiang J W, Wang J S, Li B W 2009 Phys. Rev. B 79 205418
[27] Kim P, Shi L, Majumdar A, McEuen P L 2001 Phys. Rev. Lett. 87 215502
[28] Pop E, Mann D, Wang Q, Goodson K, Dai H J 2006 Nano Lett. 6 96
[29] Pop E, Mann D, Cao J, Wang Q, Goodson K, Dai H J 2005 Phys. Rev. Lett. 95 155505
[30] Prasher R 2010 Science 328 185
[31] Seol J H, Jo I, Moore A L, Lindsay L, Aitken Z H, Pettes M T, Li X S, Yao Z, Huang R, Broido D, Mingo N, Ruoff R S, Shi L 2010 Science 328 213
[32] Lan J H, Wang J S, Gan C K, Chin S K 2009 Phys. Rev. B 79 115401
[33] Xu Y, Chen X B, Gu B L, Duan W H 2009 Appl. Phys. Lett. 95 233116
[34] Jiang J W, Wang J S, Li B W 2009 Phys. Rev. B 79 205418
[35] Yang N, Zhang G, Li B W 2009 Appl. Phys. Lett. 95 033107
[36] Ouyang T, Chen Y P, Yang K K, Zhong J X 2009 Eur. Phys. Lett. 88 28002
[37] Hu J N, Ruan X L, Chen Y P 2009 Nano Lett. 9 2730
[38] Saito R, Dresselhaus G, Dresselhaus M S 1998 Physical Properties of Carbon Nanotubes (London: Imperial College Press) p170
[39] Wang J S, Wang J, Zeng N 2006 Phys. Rev. B 74 033408
[40] Morooka M, Yamamoto T, Watanabe K 2008 Phys. Rev. B 77 033412
[41] Mingo N 2006 Phys. Rev. B 74 125402
[42] Yamamoto T, Watanabe K 2006 Phys. Rev. Lett. 96 255503
[43] Wang J S, Wang J, Lü J T 2008 Eur. Phys. J. B 62 381
[44] Sancho M P L, Sancho J M L, Rubio J 1985 J. Phys. F: Met. Phys. 15 851
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