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Based on the energy dispersion relation involving curvature effects for the single-walled carbon nanotube (SWCNT), the electronic velocity and the effective mass of the lowest conduction band for the SWCNT are computed and they are compared with the results without consideration of the curvature effects. The analysis shows that the influences of the curvature effect on the electronic velocity and effective mass depend on type of SWCNT, that is, the metallic zigzag-SWCNT is most sensitive to curvature effect, armchair-SWCNT is second most sensive to curvature effect, and the semiconducting zigzag-SWCNT is poorly sensitive to curvature effect. These findings suggest that curvature effects have the largest effect on the electronic structure and the low-bias transport behaviors of the metallic zigzag-SWCNT,a moderate effect on those of the armchair-SWCNT, and the smallest effect on those of the semiconducting zigzag-SWCNT, which are in good agreement with experimental measurements and the calculated results from the density-functional theory.
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Keywords:
- single-walled carbon nanotube /
- curvature effect /
- electronic velocity /
- electronic effective mass
[1] Long M Q, Wang L L 2007 Appl. Phys. Lett. 91 233512
[2] Fan Z Q, Chen K Q, Wan Q, Zou B S, Duan W H, Shuani Z 2008 Appl. Phys. Lett. 92 263304
[3] [4] [5] Fan Z Q, Chen K Q 2010 Appl. Phys. Lett. 96 053509
[6] [7] Zhang Z H, Peng J C, Chen X H 2001 Acta Phys. Sin. 50 1150 (in Chinese) [张振华、彭景翠、陈小华 2001 50 1150]
[8] [9] Li H H, Li Y D, Wang C K 2002 Acta Phys. Sin. 51 1239 (in Chinese)[李红海、李英德、王传奎 2002 51 1239]
[10] [11] Deng X Q, Zhou J C, Zhang Z H 2010 Acta Phys. Sin. 59 2714 (in Chinese) [邓小清、周继承、张振华 2010 59 2714]
[12] [13] Deng X Q, Zhou J C, Zhang Z H, Tang G P, Qiu M 2009 Appl. Phys. Lett. 95 103113
[14] [15] Deng X Q, Zhou J C, Zhang Z H, Qiu M, Tang G P 2009 Appl. Phys. Lett. 95 163109
[16] [17] Pan J B, Zhang Z H, Deng X Q, Qiu M, Guo C 2010 Appl. Phys. Lett. 97 203104
[18] [19] Pan J B, Zhang Z H, Deng X Q, Qiu M, Guo C 2011 Appl. Phys. Lett. 98 013503
[20] [21] Zhang Z H, Deng X Q, Tan X Q, Qiu M, Pan J B 2010 Appl. Phys. Lett. 97 183105
[22] [23] Zhang Z H, Yang Z, Yuan J H, Zhang H, Deng X Q, Qiu M 2008 J. Chem. Phys.129 094702
[24] Zhang Z H, Qiu M, Zhang H, Deng X Q 2009 J. Chem. Phys. 130 184703
[25] [26] Saito R, Dresselhaus G, Dresslhaus M S 1998 Physical Properties of Carbon Nanotubes (London: Imperial College Press) pp35-136
[27] [28] Xie X D, Lu D 1998 Energy Band Theory of Solids (Shanghai:Fudan University Press)pp27,28
[29] [30] [31] Chen H B, Xu N, Ding J W 2008 Solid State Commun. 146 12
[32] Shyu F L 2010 J. Phys.: Condens. Matter 22 7156
[33] -
[1] Long M Q, Wang L L 2007 Appl. Phys. Lett. 91 233512
[2] Fan Z Q, Chen K Q, Wan Q, Zou B S, Duan W H, Shuani Z 2008 Appl. Phys. Lett. 92 263304
[3] [4] [5] Fan Z Q, Chen K Q 2010 Appl. Phys. Lett. 96 053509
[6] [7] Zhang Z H, Peng J C, Chen X H 2001 Acta Phys. Sin. 50 1150 (in Chinese) [张振华、彭景翠、陈小华 2001 50 1150]
[8] [9] Li H H, Li Y D, Wang C K 2002 Acta Phys. Sin. 51 1239 (in Chinese)[李红海、李英德、王传奎 2002 51 1239]
[10] [11] Deng X Q, Zhou J C, Zhang Z H 2010 Acta Phys. Sin. 59 2714 (in Chinese) [邓小清、周继承、张振华 2010 59 2714]
[12] [13] Deng X Q, Zhou J C, Zhang Z H, Tang G P, Qiu M 2009 Appl. Phys. Lett. 95 103113
[14] [15] Deng X Q, Zhou J C, Zhang Z H, Qiu M, Tang G P 2009 Appl. Phys. Lett. 95 163109
[16] [17] Pan J B, Zhang Z H, Deng X Q, Qiu M, Guo C 2010 Appl. Phys. Lett. 97 203104
[18] [19] Pan J B, Zhang Z H, Deng X Q, Qiu M, Guo C 2011 Appl. Phys. Lett. 98 013503
[20] [21] Zhang Z H, Deng X Q, Tan X Q, Qiu M, Pan J B 2010 Appl. Phys. Lett. 97 183105
[22] [23] Zhang Z H, Yang Z, Yuan J H, Zhang H, Deng X Q, Qiu M 2008 J. Chem. Phys.129 094702
[24] Zhang Z H, Qiu M, Zhang H, Deng X Q 2009 J. Chem. Phys. 130 184703
[25] [26] Saito R, Dresselhaus G, Dresslhaus M S 1998 Physical Properties of Carbon Nanotubes (London: Imperial College Press) pp35-136
[27] [28] Xie X D, Lu D 1998 Energy Band Theory of Solids (Shanghai:Fudan University Press)pp27,28
[29] [30] [31] Chen H B, Xu N, Ding J W 2008 Solid State Commun. 146 12
[32] Shyu F L 2010 J. Phys.: Condens. Matter 22 7156
[33]
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