螺旋纳米带中的声子输运

金蔚; 惠宁菊; 屈世显

doi:10.7498/aps.60.016301

摘要

运用微分几何方法及形式散射理论,研究螺旋纳米带中的标量声子输运问题,计算了声子透射系数及热导率.数值结果表明,弯曲导致了声子模式之间的量子干涉,使总透射系数随能量变化的量子化台阶呈现振荡行为,有效地抑制了热导率.

关键词:

Scalar phonon transport in helix nanobelts is studied by employing differential geometry method and formal scattering theory. Phonon transmission coefficients and thermal conductance are calculated. The numerical results reveal that curvature and torsion induce quantum interference between phonon modes, which makes the quantized stairs of the total transmission coefficient exhibit oscillation behavior which in turn suppresses the thermal conductance considerably.

Keywords:

作者及机构信息

1.
陕西师范大学理论与计算物理所,物理与信息技术学院,西安 710062

基金项目: 教育部重点基金(批准号:108118)资助的课题.

Authors and contacts

1.
Institute of Theoretical & Computational Physics, School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China

参考文献

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[19]	Wang X J, Gong Z Q, He M D, Chen K Q, Wang L L 2008 Physica E 40, 3014
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[26]	Zhang Y Z, Wu L X, Xu L L 2008 J. Chem. Phys. 129 164702.
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施引文献

[1]	Datta S 1997 Electronic Transport in Mesoscopic System(Cambridge: Cambridge University Press)
[2]	Imry Y 1997 Introduction to Mesoscopic Physics ( New York: Oxford Press)
[3]	Ma Z S 2006 Physics 28 753(in Chinese)[马中水 2006物理 28 753]
[4]	Schwab K, Henriksen E A, Worlock J M, Roukes M L 2000 Nature 404 974
[5]	Cross M C, Lifshitz R 2001 Phys. Rev. B 64 085324
[6]	Blencowe M P 1999 Phys. Rev. B 59 4992
[7]	Kim P, Shi L, Majumdar A 2001 Phys. Rev. Lett. 87 215502
[8]	Hou Q W, Cao B Y, Guo Z Y 2009 Acta Phys. Sin. 58 7809 [侯泉文、曹炳阳、过增元 2009 58 7809]
[9]	Wang J L, Xiong G P, Gu M, Zhagn X, Liang J 2009 Acta Phys. Sin. 58 4536 [王建立、熊国平、顾明、张兴、梁吉 2009 58 4536]
[10]	Zou J, Balandin A 2001 J. Appl. Phys. 89 2932
[11]	Yang R G, Chen G, Dresselhaus M S 2005 Phys. Rev. B 72 125418
[12]	Gu X K, Cao B Y 2007 Chin. J. Phys. B 16 3777
[13]	Zhang Y Q, Shi Y, Fu L, Zhang R, Zheng Y D 2008 Acta Phys. Sin. 57 5198 [张轶群、施毅、濮林、张荣、郑有炓 2008 57 5198]
[14]	Simkin M V, Mahan G D 2000 Phys. Rev. Lett. 84 927
[15]	Yang P, Sun Q F, Guo H, Hu B 2007 Phys. Rev. B 75 235319
[16]	Yao L J, Wang L L 2008 Acta Phys. Sin. 57 3100(in Chinese) [姚凌江、王玲玲 2008 57 3100]
[17]	Tang L M, Wang Y, Wang D, Wang L L 2007 Acta Phys. Sin. 56 437 [唐黎明、王艳、王丹、王玲玲 2007 56 437]
[18]	Huang W Q, Chen K Q, Shuai Z, Wang L L, Hu W Y 2005 Phys. Lett. A 336 245
[19]	Wang X J, Gong Z Q, He M D, Chen K Q, Wang L L 2008 Physica E 40, 3014
[20]	Lu J D, Yi L, Li J X, Sun Y Z, Zhao H 2006 Commun. Theor. Phys. 46 568
[21]	Lu J D, Hou Y L, Shao L, Yi L 2008 Solid-State Elect. 52 37
[22]	Ming Y, Wang Z X, Ding Z J 2006 Phys. Lett. A 350 302
[23]	Li W X, Chen K Q 2006 Phys. Lett. A 357 378
[24]	Wang Z L 2004 Materials Today 7 26
[25]	Wang Z L 2004 Nanowires and Nanobelts (Beijing:Tinghua University Press)
[26]	Zhang Y Z, Wu L X, Xu L L 2008 J. Chem. Phys. 129 164702.
[27]	Bao L H, Li C,Tian Y 2008 Chin. J. Phys. B 17 4247
[28]	Londergan J T, Carini J P, and Murdock D P 1999 Binding and Scattering in Two-Dimensional Systems: Applications to Quantum Wires, Waveguides, and Photonic Crystals (Berlin: Springer-Verlag)
[29]	Qu S X, Geller M R 2004 Phys. Rev. B 70 085414
[30]	Lewin L, Chang D C, Kuester E F 1977 Electromagnetic waves and curved structures (Stevenage:Peter Peregrinus Ltd)

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