Abstract
Within the framework of second-order Rayleigh-Schrodinger perturbation theory (RSPT), the polaronic corrections to the ground state (GS) energy of an electron in both two-dimensional (2D) and three-dimensional (3D) parabolic quantum dots (QDs) are presented at finite temperature. We apply our calculations to GaAs. It is found that the polaronic corrections to the GS energy of an electron in both 2D and 3D QDs increase with temperature increasing and size of the QD decreasing. Furthermore, this trend is much more pronounced with dimensionality decreasing.
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K. Kash, A. Scherer, J.M. Warlock, H.G. Craighead, M.C. Tamargo, Appl. Phys. Lett. 49, 1043 (1986)
J. Cibert, P.M. Petroff, J.G. Dolan, S.J. Pearton, A.C. Gossard, J.H. English, Appl. Phys. Lett. 49, 1275 (1986)
M.A. Reed, J.N. Randall, R.G. Aggarwal, R.J. Matyi, A.E. Wetsel, Phys. Rev. Lett. 60, 535 (1988)
A. Lorke, J.P. Kotthaus, K. Ploog, Phys. Rev. Lett. 64, 2599 (1990)
S.S. Li, J.B. Xia, Phys. Lett. A 366, 120 (2007)
S.S. Li, X.J. Kong, J. Phys., Condens. Matter 4, 4815 (1992)
S.S. Li, J.B. Xia, J. Appl. Phys. 100, 083714 (2006)
M. Helm, F.M. Peeters, F. DeRosa, E. Colas, J.P. Harbison, L.T. Florez, Phys. Rev. B 43, 13983 (1991)
J.P. Cheng, B.D. McCombe, J.M. Shi, F.M. Peeters, J.T. Devreese, Phys. Rev. B 48, 7910 (1993)
K.D. Zhu, S.W. Gu, J. Phys., Condens. Matter 4, 1291 (1992)
K.D. Zhu, S.W. Gu, Phys. Rev. B 47, 12941 (1993)
S. Mukhopadhyay, A. Chatterjee, Int. J. Mod. Phys. B 10, 2781 (1996)
S. Mukhopadhyay, A. Chatterjee, Phys. Rev. B 58, 2088 (1998)
N. Kervan, T. Altanhan, A. Chatterjee, Phys. Lett. A 315, 280 (2003)
A.L. Vartanian, A.L. Asatryan, A.A. Kirakosyan, J. Phys., Condens. Matter 14, 13357 (2002)
S. Sahoo, Phys. Lett. A 238, 390 (1998)
S. Yanar, A. Sevim, B. Boyacioglu, M. Saglam, S. Mukhopadhyay, A. Chatterjee, Superlattices Microstruct. 43, 208 (2008)
K.D. Zhu, S.W. Gu, Phys. Lett. A 163, 435 (1992)
S.H. Chen, J.L. Xiao, Physica E 40, 2941 (2008)
B.S. Kandemir, T. Altanhan, Eur. Phys. J. B 33, 227 (2003)
M.H. Degani, G.A. Farias, Phys. Rev. B 42, 11950 (1990)
S. Mukhopadhyay, A. Chatterjee, J. Phys., Condens. Matter 8, 4017 (1996)
S. Mukhopadhyay, A. Chatterjee, Phys. Lett. A 204, 411 (1995)
S. Mukhopadhyay, A. Chatterjee, Phys. Rev. B 55, 9279 (1997)
F.M. Peeters, X.G. Wu, J.T. Devreese, Phys. Rev. B 33, 3926 (1986)
A. Chatterjee, Ann. Phys. 202, 320 (1990)
V.V. Paranjape, P.V. Panat, Phys. Rev. B 35, 2942 (1987)
B.E. Sernelius, Phys. Rev. B 36, 9059 (1987)
F.M. Peeters, J.T. Devreese, Phys. Rev. B 36, 4442 (1987)
A. Chatterjee, Phys. Lett. A 135, 380 (1989)
S. Sil, A. Chatterjee, Phys. Lett. A 140, 59 (1989)
S.H. Chen, J.L. Xiao, Physica B 393, 213 (2007)
H.J. Xie, C.Y. Chen, B.K. Ma, Phys. Rev. B 61, 4827 (2000)
R.Q. Wang, H.J. Xie, Y.B. Yu, Phys. Status Solidi B 242, 890 (2005)
S. Mukhopadhyay, A. Chatterjee, J. Phys., Condens. Matter 11, 2071 (1999)
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Chen, SH., Yao, QZ. & Wei, YH. Temperature Dependence of Polaronic Correction to the Ground State Energy in a GaAs Parabolic Quantum Dot. J Low Temp Phys 168, 63–68 (2012). https://doi.org/10.1007/s10909-012-0614-7
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DOI: https://doi.org/10.1007/s10909-012-0614-7