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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.
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Keywords:
- helix nanobelt /
- phonon transport /
- formal scattering theory /
- differential geometry method
[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 物理学报 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 物理学报 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 物理学报 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 物理学报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 物理学报 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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[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 物理学报 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 物理学报 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 物理学报 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 物理学报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 物理学报 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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