Scientific Research

An Academic Publisher

Theory of Triple Magnetopolarons in Quantum-Dimensional Nanostructures ()

A theory of triple
magnetopolarons in an isolated quantum well in a strong magnetic field was
developed. We study the behavior of the magnetooptical absorption peaks
corresponding to the transitions of an electron at the Landau level with
quantum numbers *n* ≥ 2. For *n* = 2 at the point of equality of
cyclotron frequency and the frequency of optical phonon (LO), there is a cross of three terms of the
electron-phonon system (the electron at the Landau level *n* = 2, the electron at *n* = 1, and the optical phonon and electron at *n* = 0 and two phonons), considered as a function of the cyclotron frequency.
Interaction with phonons takes off the degeneracy of the terms and leads to
three disjoint branches of the electron-phonon spectrum. The theory predicts
that in the resonant magnetic field, the peak of magnetooptical absorption splits into three peaks, the
intensity and position of which are dependent in a complex way on the magnitude of the magnetic field and the
constant of the electron-phonon coupling.

Share and Cite:

*American Journal of Analytical Chemistry*, Vol. 4 No. 9, 2013, pp. 457-463. doi: 10.4236/ajac.2013.49058.

Conflicts of Interest

The authors declare no conflicts of interest.

[1] | E. J. J. Johnson and D. M. Larsen, “Polaron Induced Anomalies in the Interband Magnetoabsorption of InSb,” Physical Review Letters, Vol. 16. No. 15, 1996, pp. 655-659. doi:10.1103/PhysRevLett.16.655 |

[2] | D. M. Larsen and E. J. J. J. Johnson, “Polaron Induсed Anomalies in InSb,” Journal of the Physical Society of Japan, Vol. 21, No. 5, 1966, pp. 443-447. |

[3] | L. I. Korovin and S. T. Pavlov, “On the Role of Optical Phonons in Interband Megnetooptical Absorption of Semiconductors,” Journal of Experimental and Theoretical Physics, Vol. 53. No. 5. 1967, pp. 1708-1716. |

[4] | M. Horst, U. Merkt and J. P. Kotthaus, “Magneto-Polarons in a Two-Dimensional Electron Inversion Layer on InSb,” Physical Review Letters, Vol. 50, No. 10, 1983, pp. 754-757. doi:10.1103/PhysRevLett.50.754 |

[5] | M. Horst, U. Merkt, W. Zawadzki, J. C. Maan and K. Ploog, “Resonant Polarons in a GaAs-GaAlAs Heterostructures,” Solid State Communications, Vol. 53, No. 4, 1985,pp. 403-405. doi:10.1016/0038-1098(85)90995-0 |

[6] | D. C. Rogers, R. J. Nicholas, S. Ben Amor, J. C. Portal, A. Y. Cho and D. Sivco, “Inter-Band Magneto-Absorption in a Ga0.47In0.53As-Al0.48In0.52 as Quantum Well,” Solid State Communications, Vol. 60, No. 2, 1986, pp. 83-86. doi:10.1016/0038-1098(86)90534-X |

[7] | W. Seidenbuch, “Cyclotron-Resonance Study of Polarons in GaAs-AlxGa1-xAs Heterostructures,” Physical Review B, Vol. 36, No. 4, 1987, pp. 1877-1884. |

[8] | L. I. Korovin and S. T. Pavlov, “Eshpulatov B.E. Magnetooptical Absorption of Semiconductor in Surface Layer with Participation of Optical Phonons,” Physics of Solids, Vol. 20, No. 12, 1978, pp. 3594-3598. |

[9] | S. Das Sarma and A. Madhukar, “Study of Electron-Phonon Interaction and Magneto-Optical Anomalies in Two-Dimensionally Confined Systems,” Physical Review B, Vol. 22, No. 6, 1980, pp. 2823-2836. |

[10] | L. I. Korovin and B. E. Eshpulatov, “Theory of Polaron Effect in Cyclotron Resonance in Two-Dimension Electron Gas,” Physics of Solids, Vol. 29, No. 7, 1987, pp. 1963-1969. |

[11] | M. H. Degani and O. Hipolito, “Electron-Interfase-Phonon Interation in GaAs/AlAs and InAs/GaSb Heterostructures,” Surface Science, Vol. 196, No.1-3, 1988, pp. 459-465. doi:10.1016/0039-6028(88)90726-1 |

[12] | L. I. Korovin, S. T. Pavlov and B. E. Eshpulatov, “Two-and Three Phonon Resonant Raman Scattering of Light in Quasi-Two-Dimensional Electron Structure in Strong Magnetic Fields,” Physics of Solids, Vol. 35, No. 6, 1993, pp. 1562-1576. |

[13] | L. I. Korovin, S. T. Pavlov and B. E. Eshpulatov, “Two-Phonon Resonant Raman Scattering in a QW in a Quantizing Magnetic Field,” Physics of Low-Dimensional Structures, Vol. 4, No. 5, 1994, pp. 83-87. |

[14] | I. G. Lang, V. I. Belitsky, A. Cantarera, L. I. Korovin, S. T. Pavlov and M. Cardona, “Magnetopoloron Induced Increase of the Efficiency in Two-LO-Phonon Raman Scattering from Quantum Wells,” Physical Review B, Vol. 54, No. 24, 1996, p. 17768. |

[15] | V. Lopez, F. Comas, C. Trallero-Giner, T. Ruf and M. Cardona, “Resonant Electron-Phonon Coupling: Magnetopolaronos in InP,” Physical Review B, Vol. 54. No. 15, 1996, p. 10502. |

[16] | I. G. Lang, V. I. Belitsky, A. Cantarera, L. I. Korovin, S. T. Pavlov and M. Cardona, “Triple Magnetopolorons in Quantum Wells,” Physical Review B, Vol. 56. No. 11. 1997, p. 6880. |

[17] | L. I. Korovin, I. G. Lang, S. T. Pavlov, “Magnetopolaron States with Participation Confined Phonons in a Semiconductor Quantum Well,” Journal of Experimental and Theoretical Physics, Vol. 115. No. 1. 1999, pp. 187-204. |

[18] | L. I. Korovin, I. G. Lang, S. T. Pavlov, “Combined polaron states in magnetooptic effects in a quantum wells,” Journal of Experimental and Theoretical Physics, Vol. 116, No. 4, 1999, pp. 1419-1439. |

[19] | L. I. Korovin, I. G. Lang and S. T. Pavlov, “About Influence Phonon Dispertion and Exiton Spectrum on a Energy Spectrum Magnetopolarons in a Quantum Well,” Journal of Experimental and Theoretical Physics, Vol. 118, No. 2, 2000, pp. 388-398. |

[20] | I. G. Lang, L. I. Korovin, D. A. Cantareras-Solario and S.T. Pavlov, “Conventional of Magnetopolaron Effect in Reflection and Absorption of Light by Three-Level System in a Quantum Well,” Physics of Solids, Vol. 44, No. 11, 2002, pp. 2084-2096. |

[21] | F. Сomas and N. Studart, “Electron-Phonon Interaction in Quantum Dot/Quantum Well Semiconductor Heterostructures,” Physical Review B, Vol. 69, 2004, pp. 235321-235329. |

[22] | I. G. Lang, L. I. Korovin and S.T. Pavlov, “Wave-Functions and Energies of Magnetopolarons in Semiconductor Quantum Wells,” Physics of Solids, Vol. 47, No. 9, 2005, pp. 1704-1710. |

[23] | L. I. Korovin, “Splitting of Interband Oscillations of Absorption Coefficient of Light in Magnetic Field,” Physics of Solids, Vol. 13, No. 3, 1971, pp. 842-848. |

[24] | L. I. Korovin, B. E. Eshpulatov, “Interband Megnetooptical Absorption by Surface Layer of Semiconductor,” Physics of Solids, Vol. 21, No. 12, 1979, pp. 3703-3712. |

[25] | I. S. Gradshtein and I. M. Rijik, “Tables of Integrals, Sums, Series and Products,” Nauka, Moscow, 1971. |

[26] | A. S. Davidov, “Quantum Mechanics,” GIFML, Moscow, 1963 |

[27] | T. Ando, A. Fauler and F. Stern, “Electronic Properties of Two-Dimensional Systems,” Mir, Moscow, 1985. |

[28] | S.-R. Eric Yang, L. J. Sham, “Theory of Magnetoexcitons in Quantum Wells,” Physical Review Letters, Vol. 58, No. 24, 1987, p. 2598-2601. doi:10.1103/PhysRevLett.58.2598 |

Copyright © 2020 by authors and Scientific Research Publishing Inc.

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.