J. Semicond. > Volume 37 > Issue 9 > Article Number: 092004

Magnetopolaron effects on the optical absorptions in a parabolic quantum dot

Shihua Chen ,

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Abstract: We investigate the influence of magnetic field on the linear and nonlinear optical absorptions in a parabolic quantum dot (QD) through electron-LO-phonon interaction by using the Lee-Low-Pines-Huybrecht variational calculation for all coupling strengths. We apply our calculations to GaAs which is a good candidate in Ⅲ-V group semiconductors. We find that all the absorption spectra are strongly affected by the electron-LO-phonon interaction, the applied magnetic field, and the Coulomb binding potential. Furthermore, due to the Zeeman splitting, the response of all the absorption values in transition (+1→0) and (-1→0) closely depends on the magnetic field increasing.

Key words: quantum dotmagnetopolaronoptical absorption

Abstract: We investigate the influence of magnetic field on the linear and nonlinear optical absorptions in a parabolic quantum dot (QD) through electron-LO-phonon interaction by using the Lee-Low-Pines-Huybrecht variational calculation for all coupling strengths. We apply our calculations to GaAs which is a good candidate in Ⅲ-V group semiconductors. We find that all the absorption spectra are strongly affected by the electron-LO-phonon interaction, the applied magnetic field, and the Coulomb binding potential. Furthermore, due to the Zeeman splitting, the response of all the absorption values in transition (+1→0) and (-1→0) closely depends on the magnetic field increasing.

Key words: quantum dotmagnetopolaronoptical absorption



References:

[1]

Bondarenko V, Zhao Y. Resonant photoionization absorption spectra of spherical quantum dots[J]. J Phys Condens Matter, 2003, 15: 1377. doi: 10.1088/0953-8984/15/9/301

[2]

Yilmaz S, Safak H. Oscillator strengths for the intersubband transitions in a CdS-SiO2 quantum dot with hydrogenic impurity[J]. Physica E, 2007, 36: 40. doi: 10.1016/j.physe.2006.07.040

[3]

Lu L L, Xie W F, Hassanabadi H. Linear and nonlinear optical absorption coefficients and refractive index changes in a two-electron quantum dot[J]. J Appl Phys, 2011, 109: 063108. doi: 10.1063/1.3560541

[4]

Sahin M. Photoionization cross section and intersublevel transitions in a one- and two-electron spherical quantum dot with a hydrogenic impurity[J]. Phys Rev B, 2008, 77: 045317. doi: 10.1103/PhysRevB.77.045317

[5]

Karabulut I, Baskoutas S. Linear and nonlinear optical absorption coefficients and refractive index changes in spherical quantum dots: effects of impurities, electric field, size, and optical intensity[J]. J Appl Phys, 2008, 103: 073512. doi: 10.1063/1.2904860

[6]

Xie W F. Optical properties of an off-center hydrogenic impurity in a spherical quantum dot with Gaussian potential[J]. Superlatt Microstruct, 2010, 48: 239. doi: 10.1016/j.spmi.2010.04.015

[7]

Schmitt-Rink S, Miller D A B, Chemla D S. Theory of the linear and nonlinear optical properties of semiconductor microcrystallites[J]. Phys Rev B, 1987, 35: 8113. doi: 10.1103/PhysRevB.35.8113

[8]

Li Yali, Shan Shuping. Properties of the magnetopolaron in a triangular quantum well[J]. Journal of Semiconductors, 2015, 36(8): 082005. doi: 10.1088/1674-4926/36/8/082005

[9]

Ma Xinjun, Xiao Boyu, Sun Yong. Effects of magnetic field on the polaron in an asymmetrical Gaussian confinement potential quantum well[J]. Journal of Semiconductors, 2015, 36(10): 102004. doi: 10.1088/1674-4926/36/10/102004

[10]

Zhang Hairui, Sun Yong. Properties of polaron in a triangular quantum well induced by the Rashba effect[J]. Journal of Semiconductors, 2014, 35(10): 102001. doi: 10.1088/1674-4926/35/10/102001

[11]

Mukhopadhyay S, Chatterjee A. Suppression of Zeeman splitting in a GaAs quantum dot[J]. Phys Rev B, 1999, 59: R7833. doi: 10.1103/PhysRevB.59.R7833

[12]

Jacak L, Krasnyj J, Jacak D. Magnetopolaron in a weakly elliptical InAs/GaAs quantum dot[J]. Phys Rev B, 2003, 67: 035303. doi: 10.1103/PhysRevB.67.035303

[13]

Kandemir B S, Cetin A. Impurity magnetopolaron in a parabolic quantum dot: the squeezed-state variational approach[J]. J Phys Condens Matter, 2005, 17: 667. doi: 10.1088/0953-8984/17/4/009

[14]

Mukhopadhyay S, Chatterjee A. The ground and the first excited states of an electron in a multidimensional polar semiconductor quantum dot: an all-coupling variational approach[J]. J Phys Condens Matter, 1999, 11: 2071. doi: 10.1088/0953-8984/11/9/005

[15]

Chen Shihua. The cyclotron resonance of impurity magnetopolarons in two-dimensional quantum dots for all coupling strengths[J]. Physica E, 2011, 43: 1007. doi: 10.1016/j.physe.2010.12.002

[16]

Xie Wenfang. Optical properties of impurity-bound polaron in a parabolic quantum dot[J]. Superlatt Microstruct, 2011, 50(2): 91. doi: 10.1016/j.spmi.2011.05.002

[17]

Sahin M. Third-order nonlinear optical properties of a one- and two-electron spherical quantum dot with and without a hydrogenic impurity[J]. J Appl Phys, 2009, 106: 063710. doi: 10.1063/1.3225100

[18]

Li N, Guo K X, Shao S. Polaron effects on the optical absorptions in cylindrical quantum dots with parabolic potential[J]. Opt Commun, 2012, 285: 2734. doi: 10.1016/j.optcom.2012.01.047

[19]

Chen Shihua. Properties of the two- and three-dimensional quantum dot qubit[J]. Journal of Semiconductors, 2010, 31: 052001. doi: 10.1088/1674-4926/31/5/052001

[20]

Chen S H. Optical absorptions of impurity-bound polaron in a GaAs quantum dot with parabolic potential[J]. J Low Temp Phys, 2014, 177: 40. doi: 10.1007/s10909-014-1186-5

[21]

Peeters F M, Wu X G, Devreese J T. Ground-state energy of a polaron in n dimensions[J]. Phys Rev B, 1986, 33: 3926. doi: 10.1103/PhysRevB.33.3926

[22]

Vahdani M R K, Rezaei G. Linear and nonlinear optical properties of a hydrogenic donor in lens-shaped quantum dots[J]. Phys Lett A, 2009, 373: 3079. doi: 10.1016/j.physleta.2009.06.042

[23]

Mukhopadhyay S, Chatterjee A. Polaronic enhancement in the ground-state energy of an electron bound to a Coulomb impurity in a parabolic quantum dot[J]. Phys Rev B, 1997, 55: 9279. doi: 10.1103/PhysRevB.55.9279

[1]

Bondarenko V, Zhao Y. Resonant photoionization absorption spectra of spherical quantum dots[J]. J Phys Condens Matter, 2003, 15: 1377. doi: 10.1088/0953-8984/15/9/301

[2]

Yilmaz S, Safak H. Oscillator strengths for the intersubband transitions in a CdS-SiO2 quantum dot with hydrogenic impurity[J]. Physica E, 2007, 36: 40. doi: 10.1016/j.physe.2006.07.040

[3]

Lu L L, Xie W F, Hassanabadi H. Linear and nonlinear optical absorption coefficients and refractive index changes in a two-electron quantum dot[J]. J Appl Phys, 2011, 109: 063108. doi: 10.1063/1.3560541

[4]

Sahin M. Photoionization cross section and intersublevel transitions in a one- and two-electron spherical quantum dot with a hydrogenic impurity[J]. Phys Rev B, 2008, 77: 045317. doi: 10.1103/PhysRevB.77.045317

[5]

Karabulut I, Baskoutas S. Linear and nonlinear optical absorption coefficients and refractive index changes in spherical quantum dots: effects of impurities, electric field, size, and optical intensity[J]. J Appl Phys, 2008, 103: 073512. doi: 10.1063/1.2904860

[6]

Xie W F. Optical properties of an off-center hydrogenic impurity in a spherical quantum dot with Gaussian potential[J]. Superlatt Microstruct, 2010, 48: 239. doi: 10.1016/j.spmi.2010.04.015

[7]

Schmitt-Rink S, Miller D A B, Chemla D S. Theory of the linear and nonlinear optical properties of semiconductor microcrystallites[J]. Phys Rev B, 1987, 35: 8113. doi: 10.1103/PhysRevB.35.8113

[8]

Li Yali, Shan Shuping. Properties of the magnetopolaron in a triangular quantum well[J]. Journal of Semiconductors, 2015, 36(8): 082005. doi: 10.1088/1674-4926/36/8/082005

[9]

Ma Xinjun, Xiao Boyu, Sun Yong. Effects of magnetic field on the polaron in an asymmetrical Gaussian confinement potential quantum well[J]. Journal of Semiconductors, 2015, 36(10): 102004. doi: 10.1088/1674-4926/36/10/102004

[10]

Zhang Hairui, Sun Yong. Properties of polaron in a triangular quantum well induced by the Rashba effect[J]. Journal of Semiconductors, 2014, 35(10): 102001. doi: 10.1088/1674-4926/35/10/102001

[11]

Mukhopadhyay S, Chatterjee A. Suppression of Zeeman splitting in a GaAs quantum dot[J]. Phys Rev B, 1999, 59: R7833. doi: 10.1103/PhysRevB.59.R7833

[12]

Jacak L, Krasnyj J, Jacak D. Magnetopolaron in a weakly elliptical InAs/GaAs quantum dot[J]. Phys Rev B, 2003, 67: 035303. doi: 10.1103/PhysRevB.67.035303

[13]

Kandemir B S, Cetin A. Impurity magnetopolaron in a parabolic quantum dot: the squeezed-state variational approach[J]. J Phys Condens Matter, 2005, 17: 667. doi: 10.1088/0953-8984/17/4/009

[14]

Mukhopadhyay S, Chatterjee A. The ground and the first excited states of an electron in a multidimensional polar semiconductor quantum dot: an all-coupling variational approach[J]. J Phys Condens Matter, 1999, 11: 2071. doi: 10.1088/0953-8984/11/9/005

[15]

Chen Shihua. The cyclotron resonance of impurity magnetopolarons in two-dimensional quantum dots for all coupling strengths[J]. Physica E, 2011, 43: 1007. doi: 10.1016/j.physe.2010.12.002

[16]

Xie Wenfang. Optical properties of impurity-bound polaron in a parabolic quantum dot[J]. Superlatt Microstruct, 2011, 50(2): 91. doi: 10.1016/j.spmi.2011.05.002

[17]

Sahin M. Third-order nonlinear optical properties of a one- and two-electron spherical quantum dot with and without a hydrogenic impurity[J]. J Appl Phys, 2009, 106: 063710. doi: 10.1063/1.3225100

[18]

Li N, Guo K X, Shao S. Polaron effects on the optical absorptions in cylindrical quantum dots with parabolic potential[J]. Opt Commun, 2012, 285: 2734. doi: 10.1016/j.optcom.2012.01.047

[19]

Chen Shihua. Properties of the two- and three-dimensional quantum dot qubit[J]. Journal of Semiconductors, 2010, 31: 052001. doi: 10.1088/1674-4926/31/5/052001

[20]

Chen S H. Optical absorptions of impurity-bound polaron in a GaAs quantum dot with parabolic potential[J]. J Low Temp Phys, 2014, 177: 40. doi: 10.1007/s10909-014-1186-5

[21]

Peeters F M, Wu X G, Devreese J T. Ground-state energy of a polaron in n dimensions[J]. Phys Rev B, 1986, 33: 3926. doi: 10.1103/PhysRevB.33.3926

[22]

Vahdani M R K, Rezaei G. Linear and nonlinear optical properties of a hydrogenic donor in lens-shaped quantum dots[J]. Phys Lett A, 2009, 373: 3079. doi: 10.1016/j.physleta.2009.06.042

[23]

Mukhopadhyay S, Chatterjee A. Polaronic enhancement in the ground-state energy of an electron bound to a Coulomb impurity in a parabolic quantum dot[J]. Phys Rev B, 1997, 55: 9279. doi: 10.1103/PhysRevB.55.9279

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S H Chen. Magnetopolaron effects on the optical absorptions in a parabolic quantum dot[J]. J. Semicond., 2016, 37(9): 092004. doi: 10.1088/1674-4926/37/9/092004.

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Manuscript received: 23 October 2015 Manuscript revised: 30 March 2016 Online: Published: 01 September 2016

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