Abstract
We study the ground and the first excited states’ energies and the corresponding transition frequency of a strong-coupling polaron in an asymmetric quantum dot (AQD). The effects of the electric field, the transverse and the longitudinal effective confinement lengths and the electron-phonon coupling strength are taken into account by using a variational method of the Pekar type. It is found that the ground and the first excited states’ energies and the transition frequency are decreasing functions of the electric field. They will increase rapidly with decreasing the transverse and longitudinal effective confinement lengths. The transition frequency is an increasing function of the electron-phonon coupling strength, whereas the energies are decreasing ones of it.
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N.K. Datta, M. Ghosh, Eur. Phys. J. B 80, 95 (2011)
A.I. Yakimov, A.V. Dvurechenskii, G.M. Min’kov, A.A. Sherstobitov, A.I. Nikiforov, A.A. Bloshkin, J. Exp. Theor. Phys. 100, 722 (2005)
F. Arciprete, M. Fanfoni, F. Patella, A.D. Della Pia, A. Balzarotti, Phys. Rev. B 81, 165306 (2010)
S. Kang, Y.-H. Kil, B.G. Park, C.-J. Choi, T.S. Kim, T.S. Jeong, K.-H. Shim, Electro. Mater. Lett. 7, 121 (2011)
S.S. Li, J.B. Xia, Appl. Phys. Lett. 91, 092119 (2007)
F. Baruffa, P. Stano, J. Fabian, Phys. Rev. Lett. 104, 126401 (2010)
W. Zhang, J. Gao, H.-Z. Guo, C.-Y. Zhang, Eur. Phys. J. B 79, 351 (2011)
H.C. Tian, J.L. Xiao, J. Neimenguu. Natl. Univ. 23(5), 494 (2008)
S.S. Li, K. Chang, J.B. Xia, Phys. Rev. B 68, 245306 (2003)
K. Sellami, S. Jaziri, Physica E 26, 143 (2005)
E. Sadeghi, G. Rezaie, Pramāna 75, 749 (2010)
R.T. Senger, B. Kozal, A. Chatterjee, A. Ercelebi, Eur. Phys. J. B 78, 525 (2010)
Z.W. Wang, S.S. Li, J. Appl. Phys. 110, 043512 (2011)
W. Xiao, J.L. Xiao, Int. J. Mod. Phys. B 25, 3485 (2011)
L.D. Landau, S.I. Pekar, Zh. Eksp. Teor. Fiz. 16, 341 (1946)
S.I. Pekar, Untersuchungen über die Elektronen-Theorie der Kristalle (Akademie Verlag, Berlin, 1954)
E. Kartheuser, R. Evrard, J. Devreese, Phys. Rev. Lett. 22, 94 (1969)
N. Tokuda, H. Kato, J. Phys. C 20, 3021 (1987)
A. Chatterjee, Phys. Rev. B 41, 1668 (1990)
C.Y. Chen, P.W. Jin, Phys. Rev. B 48, 15905 (1993)
K.D. Zhu, T. Kobayashi, Phys. Lett. A 190, 337 (1994)
J. El Khamkhami, E. Feddi, E. Assaid, F. Dujardin, B. Stebe, M. El Haouari, Physica E 25, 366 (2005)
A.L. Vartanian, M.A. Yeranosyan, A.A. Kirakosyan, Physica B 390, 256 (2007)
W.F. Xie, Superlattices Microstruct. 50, 91 (2011)
J.L. Xiao, J. Low Temp. Phys. 168, 297 (2012)
J.W. Yin, J.L. Xiao, Y.F. Yu, Z.W. Wang, Chin. Phys. B 18, 446 (2009)
N. Kervan, T. Altanhan, A. Chatterjee, Phys. Lett. A 315, 280 (2003)
Y.H. Ren, Q.H. Chen, Z.K. Jiao, Acta. Phys. Soc. 7, 598 (1998)
B.S. Kandemir, A. Cetin, J. Phys. Condens. Matter 17, 667 (2003)
J.K. Sun, H.J. Li, J.L. Xiao, Physica B 404, 1961 (2009)
Z.W. Wang, J.L. Xiao, Acta Phys. Soc. 56, 678 (2007)
H.J. Li, J.K. Sun, J.L. Xiao, Chin. Phys. B 19, 010314 (2010)
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This project was supported by the National Science Foundation of China under Grant No. 10964005.
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Xiao, JL. Electric Field Effect on State Energies and Transition Frequency of a Strong-Coupling Polaron in an Asymmetric Quantum Dot. J Low Temp Phys 172, 122–131 (2013). https://doi.org/10.1007/s10909-012-0848-4
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DOI: https://doi.org/10.1007/s10909-012-0848-4