Exciton and donor binding energies in quantum-well wires and quantum dots a fractional-dimensional space approach

doi:10.1088/1009-1963/13/5/032

Abstract

Abstract A simple method for calculating the free-exciton binding energies in the fractional-dimensional-space model for single-quantum-well structure has been extended to quantum-well wires and quantum dots, in which the real anisotropic system is modelled through an effective isotropic environment with a fractional dimension. In this scheme, the fractional-dimensional parameter is chosen via an analytical procedure and involves no ansatz. We calculated the ground-state binding energies of excitons and donors in quantum-well wires with rectangular cross sections. Our results are found to be in good agreement with previous variational calculations and available experimental measurements. We also discussed the ground-state exciton binding energy changing with different shapes of quantum-well wires.

Keywords: binding energy fractional-dimensional

Received: 16 July 2003
Revised: 23 December 2003
Accepted manuscript online:

PACS:	73.21.La	(Quantum dots)
	73.21.Hb	(Quantum wires)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 10174095 and 90103024) and the Natural Science Foundation of Hebei Educational Committee.

Cite this article:

Li Hong (李红), Kong Xiao-Jun (孔小均) Exciton and donor binding energies in quantum-well wires and quantum dots a fractional-dimensional space approach 2004 Chinese Physics 13 759

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Exciton and donor binding energies in quantum-well wires and quantum dots a fractional-dimensional space approach

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