量子点调制的一维量子波导中声学声子输运和热导

彭小芳; 王新军; 龚志强; 陈丽群

doi:10.7498/aps.60.126802

摘要

利用散射矩阵方法,比较了被一维凸形量子点、凹形量子点调制的量子线中膨胀模的声子输运和热导性质. 研究结果表明: 声子的输运概率与热导受制于量子点几何结构,具有凸形量子点结构的量子线中声子输运概率与热导KCV大于具有凹形量子点结构的量子线中声子输运概率与热导KCC. 两者热导之比KCV/KCC依赖于一维量子点的具体结构,且随着温度及主量子线与量子点横截面的边长差SL的增加而增加. 两种具有不同散射结构的一维量子线中热输运性质的区别在于凸形量子点结构中膨胀模数量总是大于凹形量子点结构中膨胀模数量的缘故.

关键词:

Abstract

By using scattering matrix method, we compare the propertics of acoustic phonon transport and thermal conductance in one-dimensional quantum waveguide modulated with both convex-shape and concave-shape quantum structures. The results show that the transmission spectra and thermal conductances are sensitive to the geometric structures of quantum dots, and the transmission rate and thermal conductance KCV in the convex-shape quantum structure are bigger than the transmission rate and thermal conductance KCC in the concave-shape quantum structure. The thermal conductance ratio KCV/KCC is dependent on the geometric detail of quantum dot, and the ratio increases with the increase of difference in side-length of the cross section between the quantum dot and the main quantum waveguide. The difference in thermal transport between the convex-shape and the concave-shape quantum structures originates from more excited dilatational acoustic modes in the convex-shape quantum structure than in the concave-shape quantum structure.

Keywords:

作者及机构信息

1.
中南林业科技大学理学院,长沙 410004

基金项目: 中南林业科技大学人才引进计划(批准号: 104-0160)资助的课题.

Authors and contacts

1.
College of Science, Central South University of Forestry and Technology, Changsha 410004, China

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施引文献

[1]	Blencowe M P 2004 Phys. Rep. 395 159
[2]	Tighe T S, Worlock J M, Roukes M L 1997 Appl. Phys. Lett. 70 2687
[3]
[4]	Wees B J, Houten H, Beenakker C W J, Williamson J G, Kouwenhoven L P, Marel D, Foxon C T 1988 Phys. Rev. Lett. 60 848
[5]
[6]	Muller J E 1992 Phys. Rev. Lett. 68 385
[7]
[8]	Duan W H, Zhu J L, Gu B L 1994 Phys. Rev. B 49 14403
[9]
[10]
[11]	Chklovsii D B 1995 Phys. Rev. B 51 9895
[12]	Li J, Zhang Z Q, Liu Y 1997 Phys. Rev. B 55 5337
[13]
[14]	Gu B Y, Sheng W D, Wang X H, Wang J 1997 Phys. Rev. B 56 13434
[15]
[16]
[17]	Sim H S, Ahn K H, Chang K J, Ihm G, Kim N, Lee S J 1998 Phys. Rev. Lett. 80 1501
[18]	Wang X H, Gu B Y, Yang G Z 1998 Phys. Rev. B 58 4629
[19]
[20]
[21]	Chen K Q, Gu B Y, Chuu D S 1999 Int. J. Mod. Phys. B 13 903
[22]
[23]	Chen K Q, Wang X H, Gu B Y 2000 Phys. Rev. B 61 12075
[24]	Xu H Q 2002 Phys. Rev. B 66 165305
[25]
[26]	Wu H B, Chang K, Xia J B 2002 Phys. Rev. B 65 195204
[27]
[28]	Zhu J L, Dai Z S, Hu X 2003 Phys. Rev. B 68 45324
[29]
[30]
[31]	Xia J B, Li S S 2003 Phys. Rev. B 68 75310
[32]
[33]	Huang W Q, Chen K Q, Shuai Z G, Wang L L, Hu W Y 2004 Acta Phys. Sin. 53 2330 (in Chinese) [黄维清、陈克求、帅志刚、王玲玲、胡望宇 2004 物理学报 53 2330 ]
[34]
[35]	Wang X J, Wang L L, Huang W Q, Tang L M, Chen K Q 2006 Acta Phys. Sin. 55 3649 (in Chinese) [王新军、王玲玲、黄维清、唐黎明、陈克求 2006 物理学报 55 3649 ]
[36]
[37]	Rego L G C, Kirczenow G 1998 Phys. Rev. Lett. 81 232
[38]	Schwab K, Henriksen E A, Norlock J M, Roukes M L 2000 Nature 404 974
[39]
[40]	Meschke M, Guichard W, Pekola J 2006 Nature 444 187
[41]
[42]
[43]	Ojanen T, Heikkila T T 2007 Phys. Rev. B 76 073414
[44]	Chiatti O, Nicholls J T, Proskuryakov Y, Lumpkin Y N, Farrer I, Ritchie D A 2006 Phys. Rev. Lett. 97 056601
[45]
[46]
[47]	Cross M C, Lifshitz R 2001 Phys. Rev. B 64 85324
[48]
[49]	Chang C M, Geller M R 2005 Phys. Rev. B 71 125304
[50]
[51]	Tang L M, Wang L L, Chen K Q, Huang W Q, Zou B S 2006 Appl. Phys. Lett. 88 163505
[52]
[53]	Peng X F, He M D, Wang X J, Chen L C, Pan C L, Luo Y F 2011 Physica E 43 1065
[54]	Nie L Y, Wang L L, Chen K Q, Zou B S, Zhao L H 2007 Physica E 39 185
[55]
[56]
[57]	Xie F, Chen K Q, Wang Y G, Zhang Y 2008 J. Appl. Phys. 103 084501
[58]	Li K M, Wang L L, Huang W Q, Zou B S, Wan Q 2009 J. Appl. Phys. 105 104515
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[60]
[61]	Santamore D H, Cross M C 2001 Phys. Rev. Lett. 87 115502
[62]	Santamore D H, Cross M C 2001 Phys. Rev. B 63 184306
[63]
[64]	Chen K Q, Li W X, Duan W H, Shuai Z, Gu B L 2005 Phys. Rev. B 72 045422
[65]
[66]
[67]	Li W X, Chen K Q, Duan W H, Wu J, Gu B L 2004 J. Phys.: Condens. Matter 16 5049
[68]
[69]	Huang W Q, Chen K Q, Shuai Z, Wang L L, Hu W Y, Zou B S 2005 J. Appl. Phys. 98 093524
[70]
[71]	Yang P, Sun Q F, Guo H, Hu B B 2007 Phys. Rev. B 75 235319
[72]
[73]	Li K M, Wang L L, Huang W Q, Zou B S, Wan Q 2008 Phys. Lett. A 372 5816
[74]	Volz S G, Chen G 1999 Appl. Phys. Lett. 75 2056
[75]
[76]	Li B W, Wang L, Casati G 2004 Phys. Rev. Lett. 93 184301
[77]
[78]
[79]	Hu B B, Yang L, Zhang Y 2006 Phys. Rev. Lett. 97 124302
[80]
[81]	Eckmann J P, Carlos M M 2006 Phys. Rev. Lett. 97 094301
[82]	Li W X, Chen K Q, Duan W H, Wu J, Gu B L 2004 Appl. Phys. Lett. 85 822
[83]
[84]
[85]	Ming Y, Wang Z X, Li Q, Ding Z Z 2007 Appl. Phys. Lett. 91 143508
[86]	Peng X F, Chen K Q 2010 Physica E 42 1968
[87]
[88]	Peng X F, Chen K Q, Zou B S, Zhang Y 2007 Appl. Phys. Lett. 90 193502
[89]
[90]	Tanaka Y, Yoshida F, Tamura S 2005 Phys. Rev. B 71 205308
[91]
[92]	Peng X F, Chen K Q, Wang Q, Zhou B S 2010 Phys. Rev. B 81 195317
[93]

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