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Polaronic correction to the first excited electronic energy level in an anisotropic semiconductor quantum dot

  • Solid and Condensed State Physics
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Abstract.

Within the framework of second-order Rayleigh-Schrödinger perturbation theory, the polaronic correction to the first excited state energy of an electron in an quantum dot with anisotropic parabolic confinements is presented. Compared with isotropic confinements, anisotropic confinements will make the degeneracy of the excited states to be totally or partly lifted. On the basis of a three-dimensional Fröhlich’s Hamiltonian with anisotropic confinements, the first excited state properties in two-dimensional quantum dots as well as quantum wells and wires can also be easily obtained by taking special limits. Calculations show that the first excited polaronic effect can be considerable in small quantum dots.

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References

  • Q. Chen, Y. Ren, T. Li, Y. Yu, Z. Jiao, J. Phys.: Condens. Matter 11, 4189 (1999)

    Google Scholar 

  • S. Mukhopadhyay, A. Chatterjee, Phys. Lett. A 204, 411 (1995)

    Google Scholar 

  • Q. Chen, Y. Ren, Z. Jiao, K. Wang, Phys. Rev. B 58, 16340 (1998); Y.H. Ren, Q.H. Chen, Y.B. Yu, Z.A. Xu, W.B. Shao, Z.K. Jiao, Eur. Phys. J. B 7, 651 (1999)

    Google Scholar 

  • K. Oshiro, K. Akai, M. Matsuura, Phys. Rev. B 58, 7986 (1998)

    Google Scholar 

  • M.H. Degani, G.A. Farias, Phys. Rev. B 42, 11950 (1990); M.C. Klein, F. Hache, D. Ricard, C. Flytzanis, Phys. Rev. B 42, 11123 (1990); S.N. Klimin, E.P. Plkatilov, V.M. Fomin, Phys. Status Solidi B 184, 373 (1994); J.C. Marini, B. Stebe, E. Kartheuser, Phys. Rev. B 50, 14302 (1994); C. Trallero-Giner, F. Comas, F. García-Moliner, Phys. Rev. B 50, 1755 (1994); T. Stauber, R. Zimmermann, H. Castella, Phys. Rev. B 62, 7336 (2000)

    Google Scholar 

  • Y. Lėpine, G. Bruneau, J. Phys.: Condens. Matter 10, 1495 (1998)

    Google Scholar 

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

    Google Scholar 

  • G.Q. Hai, F.M. Peeters, J.T. Devreese, L. Wendler, Phys. Rev. B 48 12016 (1993)

    Google Scholar 

  • S. Mukhopadhyay, A. Chatterjee, J. Phys.: Condens. Matter 11, 2071 (1999); S. Mukhopadhyay, A. Chatterjee, Phys. Rev. B 58, 2088 (1998)

    Google Scholar 

  • S. Mukhopadhyay, A. Chatterjee, Phys. Lett. A 240, 100 (1998); S. Mukhopadhyay, A. Chatterjee, Phys. Lett. A 242, 355 (1998)

    Google Scholar 

  • S. Hameau, Y. Guldner, O. Verzelen, R. Ferreira, G. Bastard, J. Zeman, A. Lemaître, J.M. Gėrard, Phys. Rev. Lett. 83, 4152 (1999)

    Google Scholar 

  • C.A. Perroni, V. Cataudella, G.D. Filippis, J. Phys.: Condens. Matter16, 1593 (2004)

    Google Scholar 

  • M.A. Odnoblyudov, I.N. Yassievich, K.A. Chao, Phys. Rev. Lett. 83, 4884 (1999); O. Verzelen, R. Ferreira, G. Bastard, Phys. Rev. Lett. 88, 146803 (2002)

    Google Scholar 

  • A.K. Bhattacharjee, C. Benoit à la Guillaume, Phys. Rev. B55, 10613 (1997)

  • K.D. Zhu, S.W. Gu, Phys. Lett. A 163, 435 (1992)

    Google Scholar 

  • U. Woggon, D. Miller, F. Kalina, B. Gerlach, D. Kayser, K. Leonardi, D. Hommel, Phys. Rev. B 67, 045204 (2003)

    Google Scholar 

  • G. Scamarcio, V. Spagnolo, G. Ventruti, M. Lugará, G.C. Gighini, Phys. Rev. B 53, R10489 (1996)

  • B.S. Kandemir, A. Çetin, Phys. Rev. B 65, 054303 (2002); B.S. Kandemir, T. Altanhan, Eur. Phys. J. B 33, 227 (2003)

    Google Scholar 

  • S. Hameau, J.N. Isaia, Y. Guldner, E. Deleporte, O. Verzelen, R. Ferreira, G. Bastard, J. Zeman, J.M. Gerard, Phys. Rev. B 65, 085316 (2002)

    Google Scholar 

  • Ph. Lelong, S.H. Lin, Appl. Phys. Lett. 81, 1002 (2002)

    Google Scholar 

  • T.D. Lee, F. Low, D. Pines, Phys. Rev. 90, 297 (1953)

    Google Scholar 

  • T. Garm, J. Phys.: Condens. Matter 8, 5725 (1996); M. Boero, J.M. Rorison, G. Duggan, J.C. Inkson, Surf. Sci. 377-379, 371 (1997)

    Google Scholar 

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Correspondence to D. H. Feng.

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Feng, D., Xu, Z., Jia, T. et al. Polaronic correction to the first excited electronic energy level in an anisotropic semiconductor quantum dot. Eur. Phys. J. B 44, 15–20 (2005). https://doi.org/10.1140/epjb/e2005-00094-6

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  • DOI: https://doi.org/10.1140/epjb/e2005-00094-6

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