SEMICONDUCTOR PHYSICS

Energy levels of magneto-optical polaron in spherical quantum dot——Part 1: Strong coupling

A. J. Fotue1, S. C. Kenfack1, N. Issofa1, M. Tiotsop1, H. Fotsin2, E. Mainimo1 and L. C. Fai1

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 Corresponding author: A.J.Fotue,

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Abstract: We investigate the influence of a magnetic field on the ground state energy of a polaron in a spherical semiconductor quantum dot (QD) using the modified LLP method. The ground state energy is split into sub-energy levels and there is a degeneracy of energy levels. It is also observed that the degenerate energy increase with the electron-phonon coupling constant and decrease with the magnetic field. The numerical results show that, under the influence of magnetic field and the interaction with the total momentum along the z-direction, the split energy increases and decreases with the longitudinal and the transverse confinement length, respectively.

Key words: magnetic fieldtotal momentummodified LLPpolaron energyquantum dot



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Fig. 1.  Splitting ground state energies of polaron in 1S state as function of coupling constant α with l1=0.55, l2=0.25 and ωc=0.5.

Fig. 2.  Splitting ground state energies of polaron in 1S state as function of coupling constant α withl1=0.55, l2=0.25 and ωc=7.0.

Fig. 3.  Splitting ground state energies of polaron in 1S state as function of cyclotron frequency constant ωc with l1=0.25,l2=0.35 and α=6.5.

Fig. 4.  Splitting ground state energies of polaron in 1S state as function of cyclotron frequency constant ωc with l1=0.30,l2=0.35 and α=6.5.

Fig. 5.  Splitting ground state energies of polaron in 1S state as function of confinement length l1 and l2 with α =6.5 and ωc=0.5.

Fig. 6.  Splitting ground state energies of polaron in 1S state as function confinement length l1 and l2 with α =6.5 and ωc=2.0.

Fig. 7.  Splitting ground state energies of polaron in 1S state as function of confinement length l1 and l2 with α =6.5 and ωc=5.0.

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    Received: 26 December 2014 Revised: Online: Published: 01 September 2015

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      A. J. Fotue, S. C. Kenfack, N. Issofa, M. Tiotsop, H. Fotsin, E. Mainimo, L. C. Fai. Energy levels of magneto-optical polaron in spherical quantum dot——Part 1: Strong coupling[J]. Journal of Semiconductors, 2015, 36(9): 092001. doi: 10.1088/1674-4926/36/9/092001 A. J. Fotue, S. C. Kenfack, N. Issofa, M. Tiotsop, H. Fotsin, E. Mainimo, L. C. Fai. Energy levels of magneto-optical polaron in spherical quantum dot——Part 1: Strong coupling[J]. J. Semicond., 2015, 36(9): 092001. doi: 10.1088/1674-4926/36/9/092001.Export: BibTex EndNote
      Citation:
      A. J. Fotue, S. C. Kenfack, N. Issofa, M. Tiotsop, H. Fotsin, E. Mainimo, L. C. Fai. Energy levels of magneto-optical polaron in spherical quantum dot——Part 1: Strong coupling[J]. Journal of Semiconductors, 2015, 36(9): 092001. doi: 10.1088/1674-4926/36/9/092001

      A. J. Fotue, S. C. Kenfack, N. Issofa, M. Tiotsop, H. Fotsin, E. Mainimo, L. C. Fai. Energy levels of magneto-optical polaron in spherical quantum dot——Part 1: Strong coupling[J]. J. Semicond., 2015, 36(9): 092001. doi: 10.1088/1674-4926/36/9/092001.
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      Energy levels of magneto-optical polaron in spherical quantum dot——Part 1: Strong coupling

      doi: 10.1088/1674-4926/36/9/092001
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