In this study the electronic eigenstructure of an exciton in a parabolic quantum dot (QD) has been calculated with a high accuracy by using Finite element method (FEM). We have converted the coordinates of electron–light-hole system to relative and center of mass coordinate, then placed the Spherical Harmonics into Schrödinger equation analytically and obtained the Schrödinger equation which depends only on the radial variable. Finally we used FEM with only radial variable in order to get the accurate numerical results. We also showed first 21 energy level spectra of exciton depending on confinement and Coulomb interaction parameters.

Keywords:

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

P. Hui, Chin. Phys. Lett. 21, 160 (2004). Crossref, Web of Science, Google Scholar
L. Banyain and J. S. Koch , Semiconductor Quantum Dots ( World-Scientific , 1993 ) . Link, Google Scholar
U. Woggon , Optical Properties of Semiconductor Quantum Dots ( Springer-Verlag , Berlin , 1997 ) . Google Scholar
T. T. Thao and N. A. Viet, Commun. Phys. 14, 2 (2004). Google Scholar
M. Ikezawaet al., Phys. Rev. B 73, 125321 (2006), DOI: 10.1103/PhysRevB.73.125321. Crossref, Web of Science, ADS, Google Scholar
D. Loss and D. P. DiVincenzo, Phys. Rev. A 57, 120 (1998), DOI: 10.1103/PhysRevA.57.120. Crossref, Web of Science, ADS, Google Scholar
S. Jaziri and R. Bennaceur, J. Phys. III (France) 5, 1565 (1995), DOI: 10.1051/jp3:1995210. Crossref, Google Scholar
L. E. Bruss, J. Chem. Phys. 80, 4403 (1994); J. Chem. Phys. 90, 2255 (1986) . Google Scholar
N. F. Johnson and M. C. Payne, Phys. Rev. Lett. 67, 1157 (1991), DOI: 10.1103/PhysRevLett.67.1157. Crossref, Web of Science, ADS, Google Scholar
D. V. Hutton , Fundamentals of Finite Element Analysis ( McGraw-Hill , New York , 2004 ) . Google Scholar
M. E. Said, Semiconductor Sci. Technol. 9, 272 (1994). Crossref, Web of Science, Google Scholar
A. Wixforthet al., Semicond. Sci. Technol. 9, 215 (1994), DOI: 10.1088/0268-1242/9/3/001. Crossref, Web of Science, ADS, Google Scholar
M. V. Tkach and J. O. Seti, Condens. Matter Phys. 10, 23 (2007). Crossref, Web of Science, ADS, Google Scholar
W. F. Xie, Chin. Phys. 15, 203 (2006). Web of Science, Google Scholar
Y. Kayanuma, Phys. Rev. B 44, 13085 (1991), DOI: 10.1103/PhysRevB.44.13085. Crossref, Web of Science, ADS, Google Scholar
A. Yıldız, S. Şakiroğlu, U. Dogan, K. Akgüngör, H. Epik, Y. Ergün, H. Sarı and İ. Sökmen, to appear in Int. J. Mod. Phys. B . Google Scholar
S. Şakiroğluet al., Chin. Phys. B 18, 1 (2009), DOI: 10.1088/1674-1056/18/8/062. Web of Science, Google Scholar
Y. Z. Hu, M. Lindberg and S. W. Koch, Phys. Rev. B 42, 1713 (1990), DOI: 10.1103/PhysRevB.42.1713. Crossref, Web of Science, ADS, Google Scholar
J. Dempseyet al., Phys. Rev. B 42, 11708 (1990), DOI: 10.1103/PhysRevB.42.11708. Crossref, Web of Science, ADS, Google Scholar
C. Sikorski and U. Merkt, Phys. Rev. Lett. 62, 2164 (1989), DOI: 10.1103/PhysRevLett.62.2164. Crossref, Web of Science, ADS, Google Scholar
L. R. Ram-Mohan , Finite Element and Boundary Element Applications in Quantum Mechanics ( Oxford University Press , UK , 2002 ) . Crossref, Google Scholar
K. Nakamuraet al., IEEE J. Quantum Electron. 25, 5 (1989), DOI: 10.1109/3.27977. Web of Science, Google Scholar
Z. Liet al., Chin. J. Lumin. 27(5), 641 (2006). Google Scholar
T. Garm, J. Phys.: Condens. Matter 8, 5725 (1996), DOI: 10.1088/0953-8984/8/31/006. Crossref, Web of Science, ADS, Google Scholar
Y. W. Kwon and H. Bang , The Finite Element Method using MATLAB , 2nd edn. ( CRC Press , 2000 ) . Google Scholar