多通道石墨纳米带中弹性声学声子输运和热导特性

卿前军; 周欣; 谢芳; 陈丽群; 王新军; 谭仕华; 彭小芳

doi:10.7498/aps.65.086301

摘要

采用非平衡格林函数方法, 在保持总的能量输出通道中石墨链数不变的条件下, 研究并比较了并列的石墨纳米带通道中弹性声学声子输运和热导特性. 结果表明, 能量输出通道的增加能降低每个能量输出通道的热导; 与能量输入热库最近的能量输出通道热导最大, 最远的能量输出通道热导最小; 中间能量输出通道的热导性质与并列的各输出通道的结构参数密切相关, 最近和最远的能量输出通道的热导性质仅与各自能量输出通道的结构参数有关; 粗糙边缘结构能有效调节各通道的热导; 总的热导性质与能量输出通道石墨链数、能量输出通道数以及边缘结构粗糙程度密切相关.

关键词:

Abstract

By using non-equilibrium Greens function method, we investigate the transmission rate of acoustic phonon and thermal conductance through a parallel multi-terminal graphene junctions, the relationship between the thermal-transport property in each terminal and the number of quantum terminals, the relationship between the thermal-transport property in each terminal and the relative position of quantum terminals in quantum structure, and also study the thermaltransport property in each terminal and the rough degree of edge structure. The results show that when the graphene chains (dimer lines) across the ribbon width are fixed, the increase of the number of the parallel multi-terminal graphene junctions can reduce the transmission rate of the phonons and the thermal conductance of each output terminal as well. This is because the increase of the number of the graphene junctions can lead to the decrease of the transverse dimension of the each output terminal, which enlarges the strength of the phonon scattering and results in the reduction of the phonon transmission. Owing to long distance scattering, the transmission rate of the phonons of the furthest distant output terminal is the smallest, and also the thermal conductance of the furthest output terminal is the smallest. On the contrary, the strength of the phonon scattering is the weakest for the closest output terminal. So the transmission rate of the phonons is the biggest, which induces the thermal conductance to be the biggest. The thermal conductance of the middle-output terminal depends sensitively on the structural parameters of each terminal. This is because mainly the relative position between the middle-output terminal and the phonon-input terminal is related closely to the structural parameters of each terminal, which can influence the strength of the phonon scattering and the transmission rate of the phonons. However, the thermal conductances in the top and bottom output terminals are just sensitively dependent on the structural parameters of the respective output terminal. This is because the relative position between the top (or bottom) output terminal and the phonon-input terminal is only related to the structural parameters of the respective output terminal. The rough edge structure can reduce obviously the transmission rate of the phonons, and the thermal conductance of the closest output terminal as well. The rough edge structure can modulate slightly the transmission rate of the phonons and the thermal conductance of the other output terminal. The total thermal conductance is related closely to the number of total graphene chains, the number of the multi-terminal graphene junctions, and the rough degree of edge structure. These results shed new light on the understanding of the thermal transport behaviors of multi-terminal junction quantum devices based on graphene-based nanomaterials in practical application.

Keywords:

作者及机构信息

1.
中南林业科技大学理学院, 长沙 410004;

2.
长沙理工大学, 近地空间电磁环境监测与建模湖南省普通高校重点实验室, 长沙 410004;

3.
宜春学院物理科学与工程技术学院, 宜春 336000

通信作者: 陈丽群, ldclun@163.com;xiaofangpeng11@163com ; 彭小芳, ldclun@163.com;xiaofangpeng11@163com

基金项目: 国家自然科学基金(批准号: 11247030)、湖南省自然科学基金(批准号: 14JJ4054)、长沙理工大学近地空间电磁环境监测与建模湖南省普通高校重点实验室开放基金(批准号: 20150103)、中南林业科技大学人才引进计划(批准号: 104-0160)、江西省自然科学基金(批准号: 20122BAB212009)和江西省教育厅科技项目(批准号: GJJ12601)资助的课题.

Authors and contacts

1.
Institute of Mathematics and Physics, Central South University of Forestry and Technology, Changsha 410004, China;

2.
Hunan Province Higher Education Key Laboratory of Modeling and Monitoring on the Near-Earth Electromagnetic Environments, Changsha University of Science and Technology, Changsha 410004, China;

3.
School of Physics Science and Engineering Technology, Yichun University, Yichun 336000, China

Corresponding author: Chen Li-Qun, ldclun@163.com;xiaofangpeng11@163com ; Peng Xiao-Fang, ldclun@163.com;xiaofangpeng11@163com

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11247030), the Natural Science Foundation of Hunan Province, China (Grant No. 14JJ4054), the Open Research Fund of the Hunan Province Higher Education Key Laboratory of Modeling and Monitoring on the Near-Earth Electromagnetic Environments, Changsha University of Science and Technology, China (Grant No. 20150103), the Talent Introducing Foundation of Central South University of Forestry and Technology, China (Grant No. 104-0160), the Natural Science Foundation of Jiangxi Province, China (Grant No. 20122BAB212009), and the Scientific Research Fund of Jiangxi Provincial Education Department of China (Grant No. GJJ12601).

参考文献

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[23]	Xu Y, Chen X, Wang J S, Gu B L, Duan W 2010 Phys. Rev. B 81 195425
[24]	Peng X F, Wang X J, Chen L Q, Chen K Q 2012 Europhys. Lett. 98 56001
[25]	Morooka M, Yamamoto T, Watanabe K 2008 Phys. Rev. B 77 033412
[26]	Ouyang T, Chen Y, Xie Y 2010 Phys. Rev. B 82 245403
[27]	Yang N, Zhang G, Li B 2009 Appl. Phys. Lett. 95 033107
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[32]	Sevinli H, Cuniberti G 2010 Phys. Rev. B 81 113401
[33]	Tan S H, Tang L M, Xie Z X, Pan C N, Chen K Q 2013 Carbon 65 181
[34]	Xie Z X, Chen K Q, Duan W H 2011 J. Phys.: Condens. Matter 23 315302
[35]	Peng X F, Chen K Q 2014 Carbon 77 360
[36]	Ouyang T, Chen Y P, Yang K K, Zhong J X 2009 Europhys. Lett. 88 28002
[37]	Zhu T, Ertekin E 2014 Phys. Rev. B 90 195209
[38]	Chen J, Zhang G, Li B 2013 Nanoscale 5 532
[39]	Chen J, Walther J H, Koumoutsakos P 2014 Nano Lett. 14 819
[40]	Peng X F, Xiong C, Wang X J, Chen L Q, Luo Y F, Li J B 2013 Computational Materials Science 77 440
[41]	Pan C N, Xie Z X, Tang L M, Chen K Q 2012 Appl. Phys. Lett. 101 103115
[42]	Xu Y, Li Z, Duan W 2014 Small 11 2182
[43]	Zhu J L, Dai Z S, Hu X 2003 Phys. Rev. B 68 45324
[44]	Xia J B, Li S S 2003 Phys. Rev. B 68 75310

施引文献

[1]	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
[2]	Liu Y Y, Zhou W X, Tang L M, Chen K Q 2014 Appl. Phys. Lett. 105 203111
[3]	Basko D 2011 Science 334 610
[4]	Prasher R 2010 Nature 328 185
[5]	Yao H F, Xie Y E, Ouyang T, Chen Y P 2013 Acta Phys. Sin. 62 068102 (in Chinese) [姚海峰, 谢月娥, 欧阳滔, 陈元平 2013 62 068102]
[6]	Sun Q F, Yang P, Guo H 2002 Phys. Rev. Lett. 89 175901
[7]	Peng X F, Chen K Q 2015 Sci. Rep. 5 16215
[8]	Tan S H, Tang L M, Chen K Q 2014 Phys. Lett. A 378 1952
[9]	Liu Y Y, Zhou W X, Tang L M, Chen K Q 2013 Appl. Phys. Lett. 103 263118
[10]	Chen K Q, Li W X, Duan W, Shuai Z, Gu B L 2005 Phys. Rev. B 72 045422
[11]	Zhang G, Zhang H 2011 Nanoscale 3 4604
[12]	Wang J S 2007 Phys. Rev. Lett. 99 160601
[13]	Wang J S, Wang J, Lu J T 2008 Eur. Phys. J. B 62 381
[14]	Ping Y, Qing F S, Hong G, Bambi H 2007 Phys. Rev. B 75 235319
[15]	Hua Y C, Cao B Y 2015 2015 Acta Phys. Sin. 64 146501 (in Chinese) [华钰超, 曹炳阳 2015 64 146501]
[16]	Chen X B, Duan W H 2015 Acta Phys. Sin. 64 186302 (in Chinese) [陈晓彬, 段文晖 2015 64 186302]
[17]	Zheng B Y, Dong H L, Chen F F 2014 Acta Phys. Sin. 63 076501 (in Chinese) [郑伯昱, 董慧龙, 陈非凡 2014 63 076501]
[18]	Yao W J, Cao B Y 2014 Chin. Sci. Bull. 27 3495
[19]	Peng X F, Wang X J, Gong Z Q, Chen K Q 2011 Appl. Phys. Lett. 99 233105
[20]	Bai K K, Zhou Y, Zheng H 2014 Phys. Rev. Lett. 113 086102
[21]	Ouyang F P, Xu H, Li M J 2008 Acta Phys. Chim. Sin. 24 328 (in Chinese) [欧阳方平, 徐慧, 李明君 2008 物理化学学报 24 328]
[22]	Xu Y, Chen X, Gu B L, Duan W 2009 Appl. Phys. Lett. 95 233116
[23]	Xu Y, Chen X, Wang J S, Gu B L, Duan W 2010 Phys. Rev. B 81 195425
[24]	Peng X F, Wang X J, Chen L Q, Chen K Q 2012 Europhys. Lett. 98 56001
[25]	Morooka M, Yamamoto T, Watanabe K 2008 Phys. Rev. B 77 033412
[26]	Ouyang T, Chen Y, Xie Y 2010 Phys. Rev. B 82 245403
[27]	Yang N, Zhang G, Li B 2009 Appl. Phys. Lett. 95 033107
[28]	Zheng H, Liu H J, Tan X J, Lv H Y, Pan L, Shi J, Tang X F 2012 Appl. Phys. Lett. 100 093104
[29]	Huang W, Wang J S, Liang G 2011 Phys. Rev. B 84 045410
[30]	Hu J, Wang Y, Vallabhaneni A, Ruan X, Chen Y P 2011 Phys. Rev. B 99 113101
[31]	Ouyang T, Chen Y, Xie Y, Stocks G M, Zhong J 2011 Appl. Phys. Lett. 99 233101
[32]	Sevinli H, Cuniberti G 2010 Phys. Rev. B 81 113401
[33]	Tan S H, Tang L M, Xie Z X, Pan C N, Chen K Q 2013 Carbon 65 181
[34]	Xie Z X, Chen K Q, Duan W H 2011 J. Phys.: Condens. Matter 23 315302
[35]	Peng X F, Chen K Q 2014 Carbon 77 360
[36]	Ouyang T, Chen Y P, Yang K K, Zhong J X 2009 Europhys. Lett. 88 28002
[37]	Zhu T, Ertekin E 2014 Phys. Rev. B 90 195209
[38]	Chen J, Zhang G, Li B 2013 Nanoscale 5 532
[39]	Chen J, Walther J H, Koumoutsakos P 2014 Nano Lett. 14 819
[40]	Peng X F, Xiong C, Wang X J, Chen L Q, Luo Y F, Li J B 2013 Computational Materials Science 77 440
[41]	Pan C N, Xie Z X, Tang L M, Chen K Q 2012 Appl. Phys. Lett. 101 103115
[42]	Xu Y, Li Z, Duan W 2014 Small 11 2182
[43]	Zhu J L, Dai Z S, Hu X 2003 Phys. Rev. B 68 45324
[44]	Xia J B, Li S S 2003 Phys. Rev. B 68 75310

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