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FIZIKA A 16 (2007) 1 , 1-10
 
EXCITON STATE IN A QUANTUM DOT
S. A. SAFWAN, M. H. HEKMAT and N. A. EL-MESHAD
Theoretical Physics Department, National Research Center
Cairo, Egypt
Received 21 December 2005;
Accepted 21 November 2006
Online 22 May 2007
The exciton binding energies in finite-potential quantum dot discs of GaAs
are obtained and the eigenstates and the eigenvalues of the exciton are
calculated. We present the exciton binding energy for different values of the
disc radius (R) and the disc half-width (L/2). The exciton-state stability for
large and small sizes of the dot is discussed. We compare our results with the
existing theoretical and experimental results. Our results give good estimates
for the optimal quantum dot disc geometry, and represent useful data in studies
of the optical properties of quantum dots in nano-scale devices.
PACS numbers: 73.61.-r, 85.30.Vw
UDC 538.915
Keywords: quantum dot disc, GaAs, finite potential, exciton binding energy,
eigenstates, eigenvalues
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