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声子和磁场对量子环中极化子性质的影响

赵翠兰 高宽云

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声子和磁场对量子环中极化子性质的影响

赵翠兰, 高宽云

Influence of phonon and magnetic field on property of polaron in quantum ring

Zhao Cui-Lan, Gao Kuan-Yun
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  • 采用求解能量本征方程、幺正变换和变分相结合的方法,研究声子和磁场对量子环中极化子性质的影响. 对KBr量子环的数值计算表明,电子或极化子的基态能量随量子环频率(或平均半径)的增大而增大,极化子基态能移随量子环频率的增大(或平均半径的减小)而减小,极化子中的平均声子数随量子环频率的增大(或平均半径的减小)而增大. 当有垂直磁场时,极化子基态能量和基态能移与外磁场及电子转动状态有关. 随着磁场强度的增大,基态能量出现简并且呈现非周期性振荡;能移随磁场强度的增大(或转动量子数绝对值的减小)而减小.
    The influence of phonon and megnetic field on property of polaron in quantum ring was studied by solving precisely the energy eigen-equation, unitary transformation and variational method. The numerical calculation for KBr quantum ring showed that the ground state energy of electron or polaron increases with increasing frequency (or the averaging radius) of the quantum ring, the polaron energy shift decreases with increasing frequency (or decreasing averaging radius) of the quantum ring, and the mean phonon number increases with increasing frequency (or decreasing averaging radius) of the quantum ring. When a perpendicular magnetic field is present, the energy levels of the polaron may cross, the ground state changes from the state with m=0 to that with m=-1,-2,-3,…, and the ground state energy makes non-periodical oscillation with increasing magnetic field strength; the polaron energy shift decreases with increasing magnetic field strength (or absolute value of quantum number |m|).
    • 基金项目: 国家自然科学基金(批准号:10964005)和内蒙古高校科研基金(批准号:NJzy08085)资助的课题.
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    Liu X J, Gao K, Li Y, Wei J H, Xie S J 2007 Chin. Phys. 16 2091

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    Stauber T, Vasilevskiy M I 2009 Phys. Rev. B 79 113301

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    Harouni M B, Roknizadeh R, Naderi M H 2009 Phys. Rev. B 79 165304

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    [9]

    Hou J H, Liang X X 2007 Chin. Phys. 16 3059

    [10]

    Liu Y F, Xiao J L 2008 Acta Phys. Sin. 57 3324 (in Chinese) [刘云飞、肖景林 2008 物理学报 57 3324]

    [11]

    Lee B C, Voskoboynikov O, Lee C P 2004 Physica E 24 87

    [12]

    Castelano L K, Hai G Q, Partoens B, Peeters F M 2008 Phys. Rev. B 78 195315

    [13]

    Liu Y M, Huag G M, Shi T Y 2008 Phys. Rev. B 77 115311

    [14]

    Li S S, Xia J B 2001 J. Appl. Phys. 89 3434

    [15]

    Li S S, Xia J B 2002 J. Appl. Phys. 91 3227

    [16]

    Filikhin I, Deyneka E, Melikyan H, Vlahovic B 2005 Mol. Simulat. 31 779

    [17]

    Filikhin I, Suslov V M, Vlahovic B 2006 Physica E 33 349

    [18]

    Bruno-Alfonso A, Latge A 2008 Phys. Rev. B 77 205303

    [19]

    Gao K Y, Zhao C L 2008 Acta Phys. Sin. 57 4446 (in Chinese) [高宽云、赵翠兰 2008 物理学报 57 4446]

    [20]

    Jiang F S, Zhao C L 2009 Acta Phys. Sin. 58 6786 (in Chinese)[姜福仕、赵翠兰 2009 物理学报 58 6786]

    [21]

    Kovalev V M, Chaplik A V 2005 J. Exp. Theor. Phys. 101 686

    [22]

    Tan W C, Inkson J C 1996 Phys.Rev. B 53 6947

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    Oshiro K, Akai K, Matsuura M 1998 Phys.Rev. B 58 7986

    [24]

    Jiang F S 2009 MS Thesis (Tongliao: Inner Mongolia University for the Nationalities) (in Chinese) [姜福仕 2009硕士学位论文(通辽: 内蒙古民族大学)]

  • [1]

    Zhang Y F, Jia J F, Han T Z, Tang Z, Shen Q T, Guo Y, Xue Q K 2005 Chin. Phys. 14 1910

    [2]

    Liu X J, Gao K, Li Y, Wei J H, Xie S J 2007 Chin. Phys. 16 2091

    [3]

    Oliveira B P W, Haas S 2009 Phys. Rev. B 79 155102

    [4]

    Stauber T, Vasilevskiy M I 2009 Phys. Rev. B 79 113301

    [5]

    Harouni M B, Roknizadeh R, Naderi M H 2009 Phys. Rev. B 79 165304

    [6]

    Wu Z J, Zhu K D, Yuan X Z, Zheng H 2005 Acta Phys. Sin. 54 3346(in Chinese) [吴卓杰、朱卡的、袁晓忠、郑 杭 2005 物理学报 54 3346]

    [7]

    Ma Y B 2009 Acta Phys. Sin. 58 4901(in Chinese) [马玉彬 2009 物理学报 58 4901]

    [8]

    Yu C F, Liang G D , Cao X J 2008 Acta Phys. Sin. 57 4402(in Chinese) [余超凡、梁国栋、曹锡金 2008 物理学报 57 4402]

    [9]

    Hou J H, Liang X X 2007 Chin. Phys. 16 3059

    [10]

    Liu Y F, Xiao J L 2008 Acta Phys. Sin. 57 3324 (in Chinese) [刘云飞、肖景林 2008 物理学报 57 3324]

    [11]

    Lee B C, Voskoboynikov O, Lee C P 2004 Physica E 24 87

    [12]

    Castelano L K, Hai G Q, Partoens B, Peeters F M 2008 Phys. Rev. B 78 195315

    [13]

    Liu Y M, Huag G M, Shi T Y 2008 Phys. Rev. B 77 115311

    [14]

    Li S S, Xia J B 2001 J. Appl. Phys. 89 3434

    [15]

    Li S S, Xia J B 2002 J. Appl. Phys. 91 3227

    [16]

    Filikhin I, Deyneka E, Melikyan H, Vlahovic B 2005 Mol. Simulat. 31 779

    [17]

    Filikhin I, Suslov V M, Vlahovic B 2006 Physica E 33 349

    [18]

    Bruno-Alfonso A, Latge A 2008 Phys. Rev. B 77 205303

    [19]

    Gao K Y, Zhao C L 2008 Acta Phys. Sin. 57 4446 (in Chinese) [高宽云、赵翠兰 2008 物理学报 57 4446]

    [20]

    Jiang F S, Zhao C L 2009 Acta Phys. Sin. 58 6786 (in Chinese)[姜福仕、赵翠兰 2009 物理学报 58 6786]

    [21]

    Kovalev V M, Chaplik A V 2005 J. Exp. Theor. Phys. 101 686

    [22]

    Tan W C, Inkson J C 1996 Phys.Rev. B 53 6947

    [23]

    Oshiro K, Akai K, Matsuura M 1998 Phys.Rev. B 58 7986

    [24]

    Jiang F S 2009 MS Thesis (Tongliao: Inner Mongolia University for the Nationalities) (in Chinese) [姜福仕 2009硕士学位论文(通辽: 内蒙古民族大学)]

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计量
  • 文章访问数:  6932
  • PDF下载量:  694
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-09-24
  • 修回日期:  2009-11-12
  • 刊出日期:  2010-07-15

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