半导体量子阱中激子波函数及其 Fourier系数的计算和应用

雷小丽; 王大威; 梁士雄; 吴朝新

doi:10.7498/aps.61.057803

摘要

利用准玻色子方法发展的激子动力学方程是研究半导体纳米结构中激子超快动力学的有效理论手段. 为了将这种方法应用于半导体量子阱, 需要知道量子阱中的激子波函数及其在动量空间的表示, 从而得到激子动力学方程中所必须的系数. 详细讨论了理想和实际量子阱中的激子波函数, 特别是其在动量空间的表示, 并进一步讨论了激子动力学方程中所必须系数的计算方法. 通过求解这些系数, 对量子阱中因激子密度变化而引起的太赫兹脉冲作用下激子能级间跃迁过程中的非线性效应进行了理论预测, 得到了与实验符合很好的结果.

关键词:

Abstract

Excitonic dynamic equations, which are derived from the quasi-Boson approach, are useful tools in investigating the ultrafast optical responses of semiconductor nanostructures. To apply these equations to the exciton dynamics in semiconductor quantum wells, we need exciton wavefunctions and their representations in momentum space to obtain the coefficients in the excitonic dynamic equations. By discussing in detail the exciton wavefunctions and their momentum-space representations, we present a method of obtaining the essential coefficients in the excitonic dynamic equations. We finally use these coefficients to understand the nonlinear effects in the terahertz-pulse-induced intraexcitonic transitions caused by high exciton densities. The obtained theoretical results are in good agreement with recent experimental results.

Keywords:

作者及机构信息

1.
西安交通大学电子信息与工程学院陕西省信息与光子技术重点实验室, 物理电子与器件教育部重点实验室, 西安 710049;

2.
西安邮电学院理学院, 西安 710061

基金项目: 国家自然科学基金(批准号: 10904122)资助的课题.

Authors and contacts

1.
Shaanxi Key Laboratory of Photonics Techonology for Information and Key Laboratory for Physical Electronics and Devices of the Ministry of Education, School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China;

2.
Xi'an University of Post and Telecommnunications, Xi'an 710061, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No.10904122).

参考文献

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施引文献

[1]	Laughlin R B 1983 Phys. Rev. Lett. 50 1395
[2]	Tsekoun A, Go R, Pushkarsky M, Razeghi M, Patel C K N 2006Proc. Natl. Acad. Sci. U. S. A. 103 4831
[3]	Wang D W, Zhang A, Yang L, Dignam M M 2008 Phys. Rev. B77 115307
[4]	Gan Z Z, Yang G Z 1982 Acta Phys. Sin. 31 237 (in Chinese) [甘子钊, 杨国桢 1982 31 237]
[5]	Zang H, Liu L, Liu J J 2007 Acta Phys. Sin. 56 487 (in Chinese) [张红, 刘磊, 刘建军 2007 56 487]
[6]	Li M, Mi X W 2009 Chin. Phys. B 18 5534
[7]	Wang D W, Lei X L, Wu Z X 2011 J. Phys. Condens. Matter 23345801
[8]	Ji Z W, Lu Y, Chen J X, Mino H, Akimoto R, Takeyama S 2008Acta Phys. Sin. 57 1214 (in Chinese) [冀子武, 鲁云, 陈锦祥, 三野弘文, 秋本良一, 山正二郎 2008 57 1214]
[9]	Jauho A, Johnsen K 1996 Phys. Rev. Lett. 76 4576
[10]	ćerne J, Kono J, Inoshita T, Sherwin M, Sundaram M, Gossard C1997 Appl. Phys. Lett. 70 3543
[11]	Kono J, Su M, Inoshita T, Noda T, Sherwin M, Allen Jr S, SakakiH 1997 Phys. Rev. Lett. 79 1758
[12]	Phillips C, Su M Y, Sherwin M S, Ko J, Coldren L 1999 Appl.Phys. Lett. 75 2728
[13]	Amo A, Lefrère J, Pigeon S, Adrados C, Ciuti C, Carusotto I,Houdr R, Giacobino E, Bramati A 2009 Nat. Phys. 5 805
[14]	Amo A, Sanvitto D, Laussy F P, Ballarini, Valle E D, Martin M D,Lema?Itre A, Bloch J, Krizhanovskii D N, Skolnick M S, TejedorC, Vi L A 2009 Nature 457 291
[15]	Haug H, Koch SW1990 Quantum Theory of the Optical and ElectronicProperties of Semiconductors (Singapore: World Scientific)
[16]	Mi X W 2004 J. Appl. Phys. 95 1191
[17]	Wang D W, Hawton M, Dignam M M 2007 Phys. Rev. B 76115311
[18]	de Leon B S, Laikhtman B 2001 Phys. Rev. B 63 125306
[19]	Betbeder-Matibet O, Combescot M 2002 Eur. Phys. J. B 27 505
[20]	Lloyd-Hughes J, Beere H E, Ritchie D A, Johnston M B 2008Phys. Rev. B 77 125322
[21]	Johnsen K, Kavoulakis G M 2001 Phys. Rev. Lett. 86 858
[22]	Kaindl R A, Carnahan M A, Hagele D, Lovenich R, Chemla D S2003 Nature 423 734
[23]	Cao J C 2003 Phys. Rev. Lett. 91 237401
[24]	Huber R, Kaindl R A, Schmid B A, Chemla D S 2005 Phys. Rev.B 72 161314
[25]	Combescot M, Betbeder-Matibet O 2003 Europhys. Lett. 62 140
[26]	Usui T 1960 Prog. Theor. Phys. 23 787
[27]	Utsunomiya S, Tian L, Roumpos G, Lai G W, Kumada N, FujisawaT, Kuwata-Gonokami M, Yamamoto Y 2008 Nat. Phys. 4700
[28]	Parfitt D G W, Portnoi M E 2002 J. Math. Phys. 43 4681
[29]	Dignam M M, Sipe J E 1990 Phys. Rev. B 41 2865
[30]	Yang L, Rosam B, Lachaine JM, Leo K, Dignam MM2004 Phys.Rev. B 69 65310
[31]	Wang D W, Dignam M M 2009 Phys. Rev. B 79 165320
[32]	Wang D W 2008 Ph. D. Dissertation (Queen's University atKingston)
[33]	Peyghambarian N, Gibbs H M, Jewell J L, Antonetti A, Migus A,Hulin D, Mysyrowicz A 1984 Phys. Rev. Lett. 53 2433
[34]	Schmitt-Rink S, Chemla D S, Miller D A B 1985 Phys. Rev. B 326601

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