Exciton Absorption Spectra in Finite Parabolic Quantum Well | ||||
| Egyptian Journal of Solids | ||||
| Article 1, Volume 24, Issue 1, 2001, Page 1-10 PDF (218.47 K) | ||||
| DOI: 10.21608/ejs.2001.150488 | ||||
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| Abstract | ||||
| We have presented a numerical calculation of the excitonic absorption spectra in finite parabolic Ga1-x Alx As quantum well of different widths and heights. First, we evaluated the exact analytic single particle ground State solutions, in terms of Kummer functions as detailed by Wu-Pen Yuen [Phys.Rev.B 48, 17316 (1993)], for an electron and a hole. The binding energy of an exciton bound to the quantum well structure is then determined using a standard variational technique. To investigate the excitonic optical absorption near the energy gap, we used a generalized Elliot's formula originally proposed by P.Lefebvre, et.al. [Phys. Rev. B 48, 17308 (1993)]. The model is based on a simple concept that the exciton confined to a quantum well can be approximately characterized by a single parameter, namely the fractional dimensional parameter α . Within this model, we include not only bound states contribution, but also the effects of the unbound states, which enhances the continuum absorption above the energy gap. | ||||
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