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In In0.6Ga0.4As/GaAs quantum dot, using a one-dimensional effective potential model and the finite difference method, we theoretically study the properties of an exciton under the influence of an applied magnetic field, such as the transition energy, the binding energy, the spatial distributions of the electron and the hole. The effects due to the applied magnetic filed and the quantum confinement on the binding energy are analyzed, and the following results are obtained: the ground state transition energy of the heavy-hole exciton can split into four energy levels due to the Zeeman effect, of which the results are in good agreement with experimental results; the binding energy increases monotonically with the increase of lateral confinement or magnetic field; the size of the quantum dot has a significant influence on the binding energy of the exciton, which can be seen both from the average distance between the electron and the hole and from the wave function distributions of the exciton.
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Keywords:
- exciton /
- quantum dot /
- magnetic field
[1] Belhadj T, Simon C M, Amand T, Renucci P, Chatel B, Krebs O, Lemaitre A, Voisin P, Marie, X, Urbaszek B 2009 Phys. Rev. Lett. 103 086601
[2] Xiao Z G 1999 J. Appl. Phys. 86 4509
[3] Gu J, Liang J Q 2004 Phys. Lett. A 323 132
[4] Bennett A J, Pooley M A, Stevenson R M, Ward M B, Patel R B, Giroday A B, Sköld N, Farrer I, Nicoll C A, Ritchie D A , Shields A J 2010 Nature Phys. 6 947
[5] Ortner G, Bayer M, Larionov A, Timofeev V B, Forchel A, Lyanda Y B, Reinecke T L, Hawrylak P, Fafard S, Wasilewski Z 2003 Phys. Rev. Lett. 90 086404
[6] Bayer M, Hawrylak P, Hinzer K, Fafard S, Korkusinski M, Wasilewski Z R, Stern O, Forchel A 2001 Science 291 451
[7] DiVincenzo D P, Bacon D, Kempe J, Burkard G, Whaley K B 2000 Nature 408 339
[8] Rinaldi R, Mangino R, Cingolani R, Lipsanen H, Sopanen M, Tulkki J, Brasken M, Ahopelto J 1998 Phys. Rev. B 57 9763
[9] Bednarek S, Szafran B, Chwiej T, Adamowski J 2003 Phys. Rev. B 68 045328
[10] Nair S V, Sinha S, Rustagi K C 1987 Phys. Rev. B 35 4098
[11] Kayanuma Y 1988 Phys. Rev. B 38 9797
[12] Xia J B 1989 Phys. Rev. B 40 8500
[13] Ramaniah L M, Nair S V 1993 Phys. Rev. B 47 7132
[14] Hu Y Z, Lindberg M, Koch S W 1990 Phys. Rev. B 42 1713
[15] Li S S, Xia J B 2008 Appl. Phys. Lett. 92 022102
[16] Dong Q R, Niu Z C 2005 Acta Phys. Sin. 54 1794 (in Chinese) [董庆瑞, 牛智川 2005 物理学报 54 1794]
[17] Harju A, Sverdlov V A, Nieminen R M 1998 Europhys. Lett. 41 407
[18] Filinov A V, Riva C, Peeters F M, Lozovik Y E, Bonitz M 2004 Phys. Rev. B 70 035323
[19] Zhai L X, Liu J J 2007 J. Appl. Phys. 102 053706
[20] Zhang H, Shen M, Liu J J 2008 J. Appl. Phys. 103 043705
[21] Shen M, Liu J J 2011 J. Appl. Phys. 109 094313
[22] Bayer M, Kuther A, Forchel A, Gorbunov A, Timofeev V B, Schafer F, Reithmaier J P, Reinecke T L, Walck S N 1999 Phys. Rev. Lett. 82 1748
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[1] Belhadj T, Simon C M, Amand T, Renucci P, Chatel B, Krebs O, Lemaitre A, Voisin P, Marie, X, Urbaszek B 2009 Phys. Rev. Lett. 103 086601
[2] Xiao Z G 1999 J. Appl. Phys. 86 4509
[3] Gu J, Liang J Q 2004 Phys. Lett. A 323 132
[4] Bennett A J, Pooley M A, Stevenson R M, Ward M B, Patel R B, Giroday A B, Sköld N, Farrer I, Nicoll C A, Ritchie D A , Shields A J 2010 Nature Phys. 6 947
[5] Ortner G, Bayer M, Larionov A, Timofeev V B, Forchel A, Lyanda Y B, Reinecke T L, Hawrylak P, Fafard S, Wasilewski Z 2003 Phys. Rev. Lett. 90 086404
[6] Bayer M, Hawrylak P, Hinzer K, Fafard S, Korkusinski M, Wasilewski Z R, Stern O, Forchel A 2001 Science 291 451
[7] DiVincenzo D P, Bacon D, Kempe J, Burkard G, Whaley K B 2000 Nature 408 339
[8] Rinaldi R, Mangino R, Cingolani R, Lipsanen H, Sopanen M, Tulkki J, Brasken M, Ahopelto J 1998 Phys. Rev. B 57 9763
[9] Bednarek S, Szafran B, Chwiej T, Adamowski J 2003 Phys. Rev. B 68 045328
[10] Nair S V, Sinha S, Rustagi K C 1987 Phys. Rev. B 35 4098
[11] Kayanuma Y 1988 Phys. Rev. B 38 9797
[12] Xia J B 1989 Phys. Rev. B 40 8500
[13] Ramaniah L M, Nair S V 1993 Phys. Rev. B 47 7132
[14] Hu Y Z, Lindberg M, Koch S W 1990 Phys. Rev. B 42 1713
[15] Li S S, Xia J B 2008 Appl. Phys. Lett. 92 022102
[16] Dong Q R, Niu Z C 2005 Acta Phys. Sin. 54 1794 (in Chinese) [董庆瑞, 牛智川 2005 物理学报 54 1794]
[17] Harju A, Sverdlov V A, Nieminen R M 1998 Europhys. Lett. 41 407
[18] Filinov A V, Riva C, Peeters F M, Lozovik Y E, Bonitz M 2004 Phys. Rev. B 70 035323
[19] Zhai L X, Liu J J 2007 J. Appl. Phys. 102 053706
[20] Zhang H, Shen M, Liu J J 2008 J. Appl. Phys. 103 043705
[21] Shen M, Liu J J 2011 J. Appl. Phys. 109 094313
[22] Bayer M, Kuther A, Forchel A, Gorbunov A, Timofeev V B, Schafer F, Reithmaier J P, Reinecke T L, Walck S N 1999 Phys. Rev. Lett. 82 1748
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