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Optical Absorptions of Impurity-Bound Polaron in a GaAs Quantum Dot with Parabolic Potential

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Abstract

The linear and nonlinear optical properties considering polaron and Coulomb impurity effect in a GaAs parabolic quantum dot are investigated theoretically. Calculations have been performed by using the compact density-matrix approach and the Lee-Low-Pines-Huybrecht variational technique for all electron–LO–phonon coupling strengths. The dependence of the optical absorption coefficients on the incident photon energy, the Coulomb potential and incident optical intensity is also studied.

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References

  1. M.A. Kastner, The single-electron transistor. Rev. Mod. Phys. 64, 849 (1992)

    Article  ADS  Google Scholar 

  2. M.W. Dellow, P.H. Beton, C.J.G.M. Langerak, T.J. Foster, P.C. Main, L. Eaves, M. Henini, S.P. Beaumont, C.D.W. Wilkinson, Resonant tunneling through the bound states of a single donor atom in a quantum well. Phys. Rev. Lett. 68, 1754 (1992)

    Article  ADS  Google Scholar 

  3. A. Barenco, D. Deutsch, A. Ekert, R. Jozsa, Conditional qantum dynamics and logic gates. Phys. Rev. Lett. 74, 4083 (1995)

    Article  ADS  Google Scholar 

  4. L.L. Lu, W.F. Xie, H. Hassanabadi, Linear and nonlinear optical absorption coefficients and refractive index changes in a two-electron quantum dot. J. Appl. Phys. 109, 063108 (2011)

    Article  ADS  Google Scholar 

  5. J.S. Huang, B. Li, Dipole-allowed optical absorption in a parabolic quantum dot with two electrons. Phys. Lett. A 372, 4323 (2008)

    Article  ADS  MATH  Google Scholar 

  6. V. Bondarenko, Y. Zhao, Resonant photoionization absorption spectra of spherical quantum dots. J. Phys. Cond. Matter. 15, 1377 (2003)

    Article  ADS  Google Scholar 

  7. S.S. Li, J.B. Xia, Electronic states of a hydrogenic donor impurity in semiconductor nano-structures. Phys. Lett. A 366, 120 (2007)

    Article  ADS  Google Scholar 

  8. S.S. Li, X.J. Kong, Hydrogenic impurities in GaAs-Ga\(_{1-x}\)Al\(_{x}\)As superlattices in an axial magnetic field. J. Phys.: Condens. Matter 4, 4815 (1992)

  9. S.S. Li, J.B. Xia, Electronic structure and binding energy of a hydrogenic impurity in a hierarchically self-assembled GaAs/ Al\(_{x}\)Ga\(_{1-x}\)As quantum dot. J. Appl. Phys. 100, 083714 (2006)

  10. N. Kervan, T. Altanhan, A. Chatterjee, A variational approach with squeezed-states for the polaronic effects in quantum dots. Phys. Lett. A 315, 280 (2003)

  11. S. Schmitt-Rink, D.A.B. Miller, D.S. Chemla, Theory of the linear and nonlinear optical properties of semiconductor microcrystallites. Phys. Rev. B 35, 8113 (1987)

    Article  ADS  Google Scholar 

  12. T. Inoshita, H. Sakaki, Electron relaxation in a quantum dot: significance of multiphonon processes. Phys. Rev. B 46, 7260 (1992)

    Article  ADS  Google Scholar 

  13. S. Hameau, Y. Guldner, O. Verzelen, R. Ferreira, G. Bastard, J. Zeman, A. Lemaitre, J.M. Gerard, Strong electron-phonon coupling regime in quantum dots: evidence for everlasting resonant polarons. Phys. Rev. Lett. 83, 4152 (1999)

    Article  ADS  Google Scholar 

  14. S. Hameau, J.N. Isaia, Y. Guldner, E. Deleporte, O. Verzelen, R. Ferreira, G. Bastard, J. Zeman, J.M. Gérard, Far-infrared magnetospectroscopy of polaron states in self-assembled InAs/GaAs quantum dots. Phys. Rev. B 65, 085316 (2002)

  15. Q.H. Chen, Y.H. Ren, Z.K. Jiao, K.L. Wang, Two- and three-dimensional polarons in a symmetric quantum dot with arbitrary electron-phonon coupling strength. Phys. Lett. A 243, 66 (1998)

    Article  ADS  Google Scholar 

  16. Antonino La Magna, Ioannis Deretzis, A polaron model of the electronic transport in a nanotube quantum dot. Physica E 40, 2289 (2008)

    Article  ADS  Google Scholar 

  17. S. Mukhopadhyay, A. Chatterjee, The ground and the first excited states of an electron in a multidimensional polar semiconductor quantum dot: an all-coupling variational approach. J. Phys.: Condens. Matter 11, 2071 (1999)

  18. S.H. Chen, The cyclotron resonance of impurity magnetopolarons in two-dimensional quantum dots for all coupling strengths. Physica E 43, 1007 (2011)

    Article  ADS  Google Scholar 

  19. D. Ahn, S.L. Chuang, Calculations of linear and nonlinear intersubband optical absorptions in a quantum well model with an applied electric field. IEEE J. Quantum Electron. 23, 2196 (1987)

    Article  ADS  Google Scholar 

  20. Wenfang Xie, Optical properties of impurity-bound polaron in a parabolic quantum dot. Superlatt. Microstruct. 50(2), 91 (2011)

    Article  ADS  Google Scholar 

  21. N. Li, K.X. Guo, S. Shao, Polaron effects on the optical absorptions in cylindrical quantum dots with parabolic potential. Opt. Commun. 285, 2734 (2012)

    Article  ADS  Google Scholar 

  22. K.M. Kumar, A.J. Peter, C.W. Lee, Optical properties of a hydrogenic impurity in a confined Zn\(_{1}\)-xCdxSe/ZnSe spherical quantum dot. Superlatt. Microstruct. 51, 184 (2012)

  23. F.M. Peeters, X.G. Wu, J.T. Devreese, Ground-state energy of a polaron in n dimensions. Phys. Rev. B 33, 3926 (1986)

    Article  ADS  Google Scholar 

  24. W.J. Huybrechts, Internal excited state of the optical polaron. J. Phys. C 10, 3761 (1977)

    Article  ADS  Google Scholar 

  25. T.D. Lee, F.E. Low, D. Pines, The motion of slow electrons in a polar crystal. Phys. Rev. 90, 297 (1953)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  26. M.R.K. Vahdani, G. Rezaei, Linear and nonlinear optical properties of a hydrogenic donor in lens-shaped quantum dots. Phys. Lett. A 373, 3079 (2009)

    Article  ADS  MATH  Google Scholar 

  27. S. Mukhopadhyay, A. Chatterjee, Polaronic enhancement in the ground-state energy of an electron bound to a Coulomb impurity in a parabolic quantum dot. Phys. Rev. B 55, 9279 (1997)

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Chen, SH. Optical Absorptions of Impurity-Bound Polaron in a GaAs Quantum Dot with Parabolic Potential. J Low Temp Phys 177, 40–47 (2014). https://doi.org/10.1007/s10909-014-1186-5

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