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The Polar Optical Phonon Confinement Effect on the Binding Energy of a Hydrogenic Impurity in Quantum Wires Under Applied Electric and Magnetic Fields

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Abstract

The impurity bound polaron in a cylindrical quantum wire with a parabolic confining potential was studied by the variational approach. The polaron effects on the ground-state binding energy in electric and magnetic fields are investigated by means of Pekar-Landau variation technique by taking into account optical phonon confinement within the wire region and localization at its boundaries. It is shown that not only electron confinement, but also polar optical phonon confinement leads to a considerable enhancement of the polaron effect. The results for the binding energy as well as polaronic correction are obtained as a function of the applied fields.

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References

  1. P. Roussignol, D. Ricard, C. Flytzanis, N. Neuroth, Phys. Rev. Lett. 62, 312 (1989)

    Article  ADS  Google Scholar 

  2. L.R. Wilson, D.J. Mowbray, M.S. Skolnick, M. Morifuji, M.J. Steer, I.A. Larkin, M. Hopkinson, Phys. Rev. B 57, R2073 (1998)

    Article  ADS  Google Scholar 

  3. A.S. Bhatti, M. Grassi Alessi, M. Capizzi, P. Frigeri, S. Franchi, Phys. Rev. B 60, 2592 (1999)

    Article  ADS  Google Scholar 

  4. R. Heitz, I. Mukhametzanov, O. Stier, A. Madhukar, D. Bimberg, Phys. Rev. Lett. 83, 4654 (1999)

    Article  ADS  Google Scholar 

  5. F.M. Peeters, X.-G. Wu, J.T. Devreese, Phys. Rev. B 33, 3926 (1986)

    Article  ADS  Google Scholar 

  6. E.P. Pokatilov, V.M. Fomin, S.N. Klimin, S.N. Balaban, L.C. Fai, J.T. Devreese, Superlattices Microstruct. 23, 331 (1998)

    Article  ADS  Google Scholar 

  7. H.J. Xie, X.Y. Liu, Superlattices Microstruct. 39, 489 (2006)

    Article  ADS  Google Scholar 

  8. D.E.N. Brancus, L. Ion, Phys. Rev. B 76, 155304 (2007)

    Article  ADS  Google Scholar 

  9. P.M. Krishna, S. Mukhopadhyay, A. Chatterjee, Solid State Commun. 138, 285 (2006)

    Article  ADS  Google Scholar 

  10. Q.-H. Chen, Z.-B. Wang, F.-L. Wu, M.-B. Luo, Y.-H. Ruan, Z.-K. Jiao, Chin. Phys. Lett. 18, 668 (2001)

    Article  ADS  Google Scholar 

  11. L. Filali, I. Zorkani, Phys. Scr. 65, 530 (2002)

    Article  ADS  Google Scholar 

  12. F.A.P. Osório, M.H. Degani, O. Hipólito, Phys. Rev. B 52, 4662 (1995)

    Article  ADS  Google Scholar 

  13. Z.-R. Zhao, X.X. Liang, Physica B 404, 2359 (2009)

    Article  ADS  Google Scholar 

  14. H.-J. Xie, C.-Y. Chen, B.-K. Ma, J. Phys., Condens. Matter 12, 8623 (2000)

    Article  ADS  Google Scholar 

  15. D.-S. Chuu, Y.-N. Chen, Y.-K. Lin, Physica B 291, 228 (2000)

    Article  ADS  Google Scholar 

  16. H.-J. Xie, C.-Y. Chen, B.-K. Ma, Phys. Rev. B 61, 4827 (2000)

    Article  ADS  Google Scholar 

  17. A.K. Arora, M. Rajalakshmi, T.R. Ravindran, Phonon confinement in nanostructured materials, in Encyclopedia of Nanoscience and Nanotechnology, vol. 8 (2004), pp. 499–512

    Google Scholar 

  18. R. Enderlein, Phys. Rev. B 47, 2162 (1993)

    Article  ADS  Google Scholar 

  19. C.R. Bennett, N.C. Constantinou, M. Babiker, B.K. Ridley, J. Phys., Condens. Matter 7, 9819 (1995)

    Article  ADS  Google Scholar 

  20. Z.-X. Liu, X.-Y. Li, Y. Liu, Superlattices Microstruct. 24, 369 (1998)

    Article  ADS  Google Scholar 

  21. Z.-X. Liu, X.-Y. Li, X.-L. Chu, Y.-C. Huang, Y. Liu, Superlattices Microstruct. 27, 235 (2000)

    Article  ADS  Google Scholar 

  22. L. Jacak, J. Krasnyj, D. Jacak, P. Machnikowski, Phys. Rev. B 67, 035303 (2003)

    Article  ADS  Google Scholar 

  23. K.D. Zhu, S.W. Gu, Phys. Rev. B 47, 12941 (1993)

    Article  ADS  Google Scholar 

  24. K.D. Zhu, T. Kobayashi, Phys. Lett. A 190, 337 (1994)

    Article  ADS  Google Scholar 

  25. A.L. Vartanian, M.A. Yeranosyan, A.A. Kirakosyan, Physica E 41, 447 (2005)

    Article  ADS  Google Scholar 

  26. A.L. Vartanian, Phys. Status Solidi B 246, 2279 (2009)

    Article  ADS  Google Scholar 

  27. T.C. Au-Yeung, C.C. Jong, S.W. Gu, E.M.C. Wong, Phys. Lett. A 204, 155 (1995)

    Article  ADS  Google Scholar 

  28. A.L. Vartanian, M.A. Yeranosyan, A.A. Kirakosyan, Physica B 390, 256 (2007)

    Article  ADS  Google Scholar 

  29. A.L. Vartanian, L.A. Vardanyan, E.M. Kazaryan, Phys. Lett. A 360, 649 (2007)

    Article  ADS  Google Scholar 

  30. A.L. Vartanian, L.A. Vardanyan, E.M. Kazaryan, Phys. Status Solidi B 245, 123 (2008)

    Article  ADS  Google Scholar 

  31. Z.-R. Zhao, X.X. Liang, J. Appl. Phys. 105, 083704 (2009)

    Article  ADS  Google Scholar 

  32. T.C. Au-Yeung, L.H. Hong, S.W. Gu, S.L. Kho, E.M.C. Wong, Phys. Lett. A 192, 91–98 (1994)

    Article  ADS  Google Scholar 

  33. H.-Y. Zhou, Phys. Rev. B 50, 17180 (1994)

    Article  ADS  Google Scholar 

  34. C.Y. Chen, P.W. Jin, W.S. Li, D.L. Lin, Phys. Rev. B 56, 14913 (1997)

    Article  ADS  Google Scholar 

  35. B.S. Kandemir, A. Çetin, J. Phys., Condens. Matter 17, 667 (2005)

    Article  ADS  Google Scholar 

  36. A.L. Vartanian, L.A. Vardanyan, E.M. Kazaryan, Phys. Status Solidi B 245, 123 (2008)

    Article  ADS  Google Scholar 

  37. A.L. Vartanian, M.A. Yeranosyan, K.A. Vardanyan, A.A. Kirakosyan, Superlattices Microstruct. 49, 382 (2011)

    Article  ADS  Google Scholar 

  38. P.M. Platzman, Phys. Rev. 125, 1961 (1962)

    Article  ADS  MATH  Google Scholar 

  39. B. Szafran, B. Stebe, J. Adamowski, S. Bednarek, Phys. Rev. B 60, 15558 (1999)

    Article  ADS  Google Scholar 

  40. L.D. Landau, S.I. Pekar, Zh. Èksp. Teor. Fiz. 16, 341 (1946)

    Google Scholar 

  41. D.V. Melnikov, W.B. Fowler, Phys. Rev. B 63, 165302 (2001)

    Article  ADS  Google Scholar 

  42. S. Adachi, J. Appl. Phys. 58, R1 (1985)

    Article  ADS  Google Scholar 

  43. L. Jacak, J. Krasnyj, W. Jacak, Phys. Lett. A 304, 168 (2002)

    Article  ADS  Google Scholar 

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Correspondence to Arshak L. Vartanian.

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Vartanian, A.L., Shahbandari, A., Yeranosyan, M.A. et al. The Polar Optical Phonon Confinement Effect on the Binding Energy of a Hydrogenic Impurity in Quantum Wires Under Applied Electric and Magnetic Fields. J Low Temp Phys 165, 101 (2011). https://doi.org/10.1007/s10909-011-0401-x

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  • DOI: https://doi.org/10.1007/s10909-011-0401-x

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