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InAs/InP柱型量子线中隧穿时间和逃逸问题的研究

黎明 陈军 宫箭

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InAs/InP柱型量子线中隧穿时间和逃逸问题的研究

黎明, 陈军, 宫箭

Dwell time and escape tunneling in InAs/InP cylindrical quantum wire

Li Ming, Chen Jun, Gong Jian
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  • 在有效质量近似和绝热近似下, 利用转移矩阵法研究了电子通过InAs/InP/InAs/InP/InAs柱形量子线共振隧穿二极管的输运问题, 分析和讨论了电子居留时间以及电子的逃逸过程. 详细研究了外加电场、结构尺寸效应对居留时间和电子逃逸的影响. 居留时间随电子纵向能量的演化呈现出共振现象; 同时, 结构的非对称性对电子居留时间有很大的影响, 随着结构非对称性的增加, 居留时间表现出不同的变化. 利用有限差分方法研究了非对称耦合量子盘中电子的相干隧穿逃逸过程.
    Within the framework of the effective mass and adiabatic approximation, the electron transport through an InAs/InP cylindrical quantum wire is studied by using the transfer matrix method. The coherent and escape tunneling processes are analyzed in detail. Influence of external voltage and structure size on the dwell time and escape time are discussed theoretically. A resonant phenomenon of the dwell time for different electron longitudinal energies is observed. A peak value of dwell time appearing at some positions of the bound state increases as the energy level decreases. When a bias is applied on this system along the growth direction, all the peaks of the dwell time shift towards the lower energy and become higher with increasing bias. Furthermore, it can be seen that the asymmetry of structure affects the dwell time obviously. Different results are obtained with the increase of asymmetry of the structure, which can be attributed to a competition between the transmission probabilities through the whole structure and that through a single barrier. Besides, the coherent and escape tunneling processes are also investigated by using a finite-difference method between two asymmetrically coupled quantum disks. It is found that the coherent electron remains oscillating in the two coupled disks. When the right barrier thickness of the nanowire is decreased, a roughly exponential decay of the oscillation charge trapped in both quantum disks is observed. The oscillating period is not affected by the right barrier thickness. However, a great influence of the middle barrier on the oscillation period can be found easily.
    • 基金项目: 国家自然科学基金(批准号:10847005)和内蒙古"草原英才"计划资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 10847005) and the Talent Developing Foundation of Inner Mongolia, China.
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    Li W, Guo Y 2006 Phys. Rev. B 73 205311

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    Gong J, Liang X X, Ban S L 2007 J. Appl. Phys. 102 073718

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  • [1]

    Holonyak N, Kolbas R M, Dupuis Russell D, Dapkus P D 1980 IEEE J. Quantum Electron. 16 170

    [2]

    Delagebeaudeuf D, Linh N T 1982 IEEE Trans. Electron. Dev. 29 955

    [3]

    Sakaki H, Wagatsuma K, Hamasaki J, Satito S 1976 Thin Solid Films 36 497

    [4]

    Barth J V, Costantini G, Kerm K 2005 Nature 437 671

    [5]

    Wu Y, Xiang J, Yang C, Lu W, Lieber, Charles M 2004 Nature 430 61

    [6]

    Miller B I, Shahar A, Koren U, Corvini P J 1989 Appl. Phys. Lett. 54 188

    [7]

    Ohlsson B J, Björk M T, Magnusson M H, Deppert K, Samuelson L, Wallenberg L R 2001 Appl. Phys. Lett. 79 3335

    [8]

    Björk M T, Ohlsson B J, Thelander C, Persson A I, Deppert K, Wallenberg L R, Samuelson L 2002 Appl. Phys. Lett. 81 4458

    [9]

    Bakkers E P A M, Verheijen M A 2003 J. Am. Chem. Soc. 125 34

    [10]

    Björk M T, Fuhrer A, Hansen A E, Larsson M W, Fröberg L E, Samuelson L 2005 Phys. Rev. B 72 201307

    [11]

    Bryllert T, Wernersson L E, Fröberg L E, Samuelson L 2006 IEEE Electron Dev. Lett. 27 323

    [12]

    Thelander C, Martensson T, Björk M T, Ohlsson B J, Larsson M W, Wallenberg L R, Samuelson L 2003 Appl. Phys. Lett. 83 2052

    [13]

    Thelander C, Nilsson H A, Jensen L E, Samuelson L 2005 Nano Lett. 5 635

    [14]

    Condon E U, Morse P M 1931 Rev. Mod. Phys. 3 43

    [15]

    MacColl L A 1932 Phys. Rev. 40 621

    [16]

    Leavens C R, Aers G C 1989 Phys. Rev. B 39 1202

    [17]

    Wang R Q, Gong J, Wu J Y, Chen J 2013 Acta Phys. Sin. 62 087303 (in Chinese) [王瑞琴, 宫箭, 武建英, 陈军 2013 物理学报 62 087303]

    [18]

    Guo H, Diff K, Neofotistos G, Gunton J D 1988 Appl. Phys. Lett. 53 131

    [19]

    Cruz H, Muga J G 1992 J. Appl. Phys. 72 5750

    [20]

    Kim J U, Lee H H 1998 J. Appl. Phys. 84 907

    [21]

    Kapteyn C M A, Heinrichsdorff F, Stier O, Heitz R, Grundmann M, Zakharov N D, Bimberg D, Werner P 1999 Phys. Rev. B 60 14265

    [22]

    Matsusue T, Tsuchiya M, Schulman J N, Sakaki H 1990 Phys. Rev. B 42 5719

    [23]

    Tsuchiya M, Matsusue T, Sakaki H 1987 Phys. Rev. Lett. 59 2356

    [24]

    Li W, Guo Y 2006 Phys. Rev. B 73 205311

    [25]

    Gong J, Liang X X, Ban S L 2007 J. Appl. Phys. 102 073718

    [26]

    Gong Y Y, Guo Y 2009 J. Appl. Phys. 106 064317

    [27]

    Larkin I A, Ujevic S, Avrutin E A 2009 J. Appl. Phys. 106 113701

    [28]

    Tadić M, Peeters F M, Janssens K L 2002 Phys. Rev. B 65 165333

    [29]

    Chi F, Xiao J L, Li S S 2004 Superlattices Microstruct. 35 59

    [30]

    Yan Z W, Liang X X 2002 Phys. Rev. B 66 235324

    [31]

    Smith F T 1960 Phys. Rev. 118 349

    [32]

    Bttiker M 1983 Phys. Rev. B 27 6178

    [33]

    Crank J, Nicolson P 1947 Proc. Camb. Phil. Soc. 43 50

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出版历程
  • 收稿日期:  2014-06-25
  • 修回日期:  2014-08-04
  • 刊出日期:  2014-12-05

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