Energy of exciton in quantum dot for a potential containing Coulomb and quadratic terms

被引:4
作者
Hassanabadi, H. [1 ]
Zarrinkamar, S. [1 ]
机构
[1] Shahrood Univ Technol, Dept Phys, Shahrood, Iran
关键词
Exciton; Quantum dot; Energy level; ELECTRONIC-STRUCTURE; OPTICAL-PROPERTIES; CHARGED EXCITONS; SPECTRA;
D O I
10.1016/j.physleta.2009.10.018
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We theoretically study the energy levels of an exciton in a quantum dot. We take in to account both quadratic and Coulomb terms. Next, we use the method of series to solve the Schrodinger equation exactly. Using this formalism, we have calculated the exciton energy in both ground and excited states. The results are comparable to those of variational exact diagonolization, full configuration interaction, Hartree-Fock and 1/N methods. Our approach could be fitted for any desired material. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:55 / 57
页数:3
相关论文
共 29 条
[1]   QUANTUM MANY-BODY STATES OF EXCITONS IN A SMALL QUANTUM-DOT [J].
BARENCO, A ;
DUPERTUIS, MA .
PHYSICAL REVIEW B, 1995, 52 (04) :2766-2778
[2]   Hidden symmetries in the energy levels of excitonic 'artificial atoms' [J].
Bayer, M ;
Stern, O ;
Hawrylak, P ;
Fafard, S ;
Forchel, A .
NATURE, 2000, 405 (6789) :923-926
[3]   Exploitation of optical interconnects in future server architectures [J].
Benner, AF ;
Ignatowski, M ;
Kash, JA ;
Kuchta, DM ;
Ritter, MB .
IBM JOURNAL OF RESEARCH AND DEVELOPMENT, 2005, 49 (4-5) :755-775
[4]   Pseudopotential calculation of the excitonic fine structure of million-atom self-assembled In1-xGaxAs/GaAs quantum dots -: art. no. 161306 [J].
Bester, G ;
Nair, S ;
Zunger, A .
PHYSICAL REVIEW B, 2003, 67 (16)
[5]   Ground state of two-dimensional quantum-dot helium in zero magnetic field: Perturbation, diagonalization, and variational theory [J].
Ciftja, O ;
Kumar, AA .
PHYSICAL REVIEW B, 2004, 70 (20) :205326-1
[6]   Two-dimensional quantum-dot helium in a magnetic field: Variational theory [J].
Ciftja, O ;
Faruk, MG .
PHYSICAL REVIEW B, 2005, 72 (20)
[7]   Electron-hole correlation in quantum dots under a high magnetic field (up to 45 T) [J].
Cingolani, R ;
Rinaldi, R ;
Lipsanen, H ;
Sopanen, M ;
Virkkala, R ;
Maijala, K ;
Tulkki, J ;
Ahopelto, J ;
Uchida, K ;
Miura, N ;
Arakawa, Y .
PHYSICAL REVIEW LETTERS, 1999, 83 (23) :4832-4835
[8]   SPECTROSCOPY OF QUANTUM LEVELS IN CHARGE-TUNABLE INGAAS QUANTUM DOTS [J].
DREXLER, H ;
LEONARD, D ;
HANSEN, W ;
KOTTHAUS, JP ;
PETROFF, PM .
PHYSICAL REVIEW LETTERS, 1994, 73 (16) :2252-2255
[9]   Direct pseudopotential calculation of exciton Coulomb and exchange energies in semiconductor quantum dots [J].
Franceschetti, A ;
Zunger, A .
PHYSICAL REVIEW LETTERS, 1997, 78 (05) :915-918
[10]   Few-particle effects in semiconductor quantum dots: Observation of multicharged excitons [J].
Hartmann, A ;
Ducommun, Y ;
Kapon, E ;
Hohenester, U ;
Molinari, E .
PHYSICAL REVIEW LETTERS, 2000, 84 (24) :5648-5651