(n, n)-(2n, 0)碳纳米管异质结的扭转力学特性

韩典荣; 王璐; 罗成林; 朱兴凤; 戴亚飞

doi:10.7498/aps.64.106102

摘要

相近直径的锯齿型和扶手椅型碳纳米管可以共轴组合形成5-7碳环交替出现的柱形对称异质结. 本文利用分子动力学方法研究了直径相近且等长锯齿型和扶手椅型碳纳米管形成的(n, n)-(2n, 0)结在扭转过程中的扭矩和轴向应力随扭转角度的变化规律以及应力传递过程. 研究发现, (n, n)-(2n, 0)结扭转应变在达弹性限度内不会产生轴向应力, 该效应对基于碳纳米管扭转特性的纳米振荡器件的设计具有重要意义.

关键词:

Abstract

A coaxial cylindrical heterojunction of carbon tubes, which consists of alternant bands of 5- and 7-membered rings, can be formed by one armchair (n, n) carbon nanotube and one zigzag (2n, 0) carbon nanotube. The torsional mechanical properties of this kind of (n, n)-(2n, 0) heterojunction constructed by the same length of armchair and zigzag nanotubes are studied by using molecular dynamics method. In order to make a comparison, the relations of the torque and axial stress to torsional angle of (n, n) and (2n, 0) carbon tubes are also systemically calculated. Moreover, the transfer process of torsional stress in the (n, n)-(2n, 0) heterojunction is analyzed. Some important conclusions are obtained. Firstly, the torsional angle corresponding to the buckling point of carbon nanotubes is closely related to their torsional stiffness. The buckling angle decreases monotonically with torsional stiffness. Secondly, as the torsion develops, the torsional stress appears from the joint position due to the fact that the junction part in the (n, n)-(2n, 0) heterojunction has the smallest torsional stiffness and then transfers from the joint position to both ends. The propagation velocity of the torsional stress in (n, n) nanotube which has smaller stiffness is faster than that in (2n, 0) nanotube with bigger stiffness. Finally, for the process of torsion within the elastic limit, no axial stress is produced in (n, n)-(2n, 0) heterojunction during the torsion. This effect is of great significance for designing the carbon nanotube-based nano-oscillator devices.

Keywords:

作者及机构信息

1.
南京师范大学物理科学与技术学院, 南京 210023;

2.
江苏省光电科学技术重点实验室, 南京 210023;

3.
江苏第二师范学院物理与电子工程学院, 南京 210013

基金项目: 国家自然科学基金青年基金(批准号: 21203097)、江苏省高校自然科学研究项目(批准号: 14KJB140006)和江苏高校优势学科建设工程项目资助的课题.

Authors and contacts

1.
School of Physics and Technology, Nanjing Normal University, Nanjing 210023, China;

2.
Jiangsu Key Laboratory on Optoelectronic Technology, Nanjing 210023, China;

3.
School of Physics and Electronic Engineering, Jiangsu Second Normal University, Nanjing 210013, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 21203097), the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 14KJB140006), and the Priority Academic Program Development of Jiangsu Higher Education Institutions.

参考文献

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[4]	Schneider B H, Etaki S, van der Zant H S, Steele G A 2012 Sci. Rep. 2 599
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[12]	Gartstein Y N, Zakhidov A A, Baughman R H 2003 Phys. Rev. B 68 115415
[13]	Ni X G, Wang Y, Zhang Z, Wang X X 2006 Chin. J. Chem. Phys 19 194
[14]	Lu J P 1997 Phys. Rev. Lett. 79 1297
[15]	Gupta S, Dharamvir K, Jindal V K 2005 Phys. Rev. B 72 165428
[16]	Williams P A, Papadakis S J, Patel A M, Falvo M R, Washburn S, Superfine R 2002 Phys. Rev. Lett. 89 255502-1
[17]	Cohen-Karni T, Segev L, Srur-Lavi O, Cohen S R, Joselevich E 2006 Nature Nanotech. 1 36
[18]	Rochefort A, Avouris P, Lesage F, Salahub D R 1999 Phys. Rev. B 60 13824
[19]	Chang T C 2007 Appl. Phys. Lett. 90 201910
[20]	Liang H Y, Upmanyu M 2006 Phys. Rev. Lett. 96 165501
[21]	Zhang H W, Wang L, Wang J B, Zhang Z Q, Zheng Y G 2008 Phys. Lett. A 372 3488
[22]	Zhao R J, Luo C L 2011 Appl. Phys. Lett. 99 231904
[23]	Poynting J H 1909 Proc. R. Soc. A 82 546
[24]	Stuart S J, Tutein A B, Harrison J A 2000 J. Chem. Phys. 112 6472
[25]	Wang Z, Devel M, Langlet R, Dulmet B 2007 Phys. Rev. B 75 205414
[26]	Ni B, Sinnott S B, Mikulski P T, Harrison J A 2002 Phys. Rev. Lett. 88 205505
[27]	Chang X 2014 Acta Phys. Sin. 63 086102 (in Chinese) [常旭 2014 63 086102]
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[29]	O’Connell M J, Eibergen E E, Doom S K 2005 Nature Mater. 4 412
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[31]	Hoover W G 1985 Phys. Rev. A 31 1695
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施引文献

[1]	Iijima S 1991 Nature 354 56
[2]	Golberg D, Costa P M F J, Mitome M, Bando Y 2009 J Mater. Chem. 19 909
[3]	Wang J N, Luo X G, Wu T, Chen Y 2014 Nature Commun. 5 3848
[4]	Schneider B H, Etaki S, van der Zant H S, Steele G A 2012 Sci. Rep. 2 599
[5]	Huang J Y, Chen S, Wang Z Q, Kempa K, Wang Y M, Jo S H, Chen G, Dresselhaus M S, Ren Z F 2006 Nature 439 281
[6]	Ouyang Y, Peng J C, Wang H, Yi S P 2008 Acta Phys. Sin. 57 0615
[7]	Zhang Y, Cao J X, Yang W 2008 Chin. Phys. B 17 1881
[8]	Karimov Kh S, Tariq Saeed Chani M, Ahmad Khalid F, Khan A, Khan R 2012 Chin. Phys. B 21 016102
[9]	Evoy S, Carr D W, Sekaric A, Parpia J M, Craighead H G 1999 J. Appl. Phys. 86 6072
[10]	Fennimore A M, Yuzvinsky T D, Han W Q, Fuhrer M S, Cumings J, Zettl A 2003 Nature 424 408
[11]	Tombler T W, Zhou C, Alexseyev L, Kong J, Dai H, Liu L, Jayanthi C S, Tang M, Wu S Y 2000 Nature 405 769
[12]	Gartstein Y N, Zakhidov A A, Baughman R H 2003 Phys. Rev. B 68 115415
[13]	Ni X G, Wang Y, Zhang Z, Wang X X 2006 Chin. J. Chem. Phys 19 194
[14]	Lu J P 1997 Phys. Rev. Lett. 79 1297
[15]	Gupta S, Dharamvir K, Jindal V K 2005 Phys. Rev. B 72 165428
[16]	Williams P A, Papadakis S J, Patel A M, Falvo M R, Washburn S, Superfine R 2002 Phys. Rev. Lett. 89 255502-1
[17]	Cohen-Karni T, Segev L, Srur-Lavi O, Cohen S R, Joselevich E 2006 Nature Nanotech. 1 36
[18]	Rochefort A, Avouris P, Lesage F, Salahub D R 1999 Phys. Rev. B 60 13824
[19]	Chang T C 2007 Appl. Phys. Lett. 90 201910
[20]	Liang H Y, Upmanyu M 2006 Phys. Rev. Lett. 96 165501
[21]	Zhang H W, Wang L, Wang J B, Zhang Z Q, Zheng Y G 2008 Phys. Lett. A 372 3488
[22]	Zhao R J, Luo C L 2011 Appl. Phys. Lett. 99 231904
[23]	Poynting J H 1909 Proc. R. Soc. A 82 546
[24]	Stuart S J, Tutein A B, Harrison J A 2000 J. Chem. Phys. 112 6472
[25]	Wang Z, Devel M, Langlet R, Dulmet B 2007 Phys. Rev. B 75 205414
[26]	Ni B, Sinnott S B, Mikulski P T, Harrison J A 2002 Phys. Rev. Lett. 88 205505
[27]	Chang X 2014 Acta Phys. Sin. 63 086102 (in Chinese) [常旭 2014 63 086102]
[28]	Treboux G, Lapstun P, Silverbrook K 1999 J. Phys. Chem. B 103 1871
[29]	O’Connell M J, Eibergen E E, Doom S K 2005 Nature Mater. 4 412
[30]	Nosé S 1984 Mol. Phys. 52 255
[31]	Hoover W G 1985 Phys. Rev. A 31 1695
[32]	Shen L, Li J 2004 Phys. Rev. B 69 045414

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