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Quantum well excitons in an electric field: two versus three dimensional behavior

Institution:	1. Young Researchers and Elite Club, Shiraz Branch, Islamic Azad University, Shiraz, Iran;2. Zarghan Branch, Islamic Azad University, Zarghan, Iran;1. Grupo de Materia Condensada-UdeA, Instituto de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín, Colombia;2. Facultad de Ciencias, Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, CP 62209 Cuernavaca, Morelos, Mexico;1. Department of Chemistry, Physical Chemistry Section, Visva Bharati University, Santiniketan, Birbhum 731 235, West Bengal, India;2. Department of Chemistry, Bishnupur Ramananda College, Bishnupur, Bankura 722122, West Bengal, India;3. Department of Chemistry, Brahmankhanda Basapara High School, Basapara, Birbhum 731215, West Bengal, India;1. Department of Chemistry, Hetampur Raj High School, Hetampur, Birbhum 731124, West Bengal, India;2. Department of Chemistry, Brahmankhanda Basapara High School, Basapara, Birbhum 731215, West Bengal, India;3. Department of Chemistry, Bishnupur Ramananda College, Bishnupur, Bankura 722122, West Bengal, India;4. Department of Chemistry, Physical Chemistry Section, Visva Bharati University, Santiniketan, Birbhum 731 235, West Bengal, India;1. Photonics group, Research Institute for Applied Physics and Astronomy (RIAPA), University of Tabriz, 51665-163 Tabriz, Iran;2. Department of Solid State Physics, Faculty of Physics, University of Tabriz, Tabriz, Iran

Abstract:	Previous calculations have shown a transition between two dimensional and three dimensional behavior of excitons confined in a semiconducting quantum well structure as a function of electric field. We here present calculations of the exciton binding energy as a function of electric field using a two parameter variational wave function of the form used in the absence of the electric field by Matsuura and Shinozuka. Our calculations were performed using a finite potential barrier model for the confinement of the exciton in the quantum well. The results of our calculations confirm the validity of the conclusion that the variational exciton wave function goes from being of a purely 2D hydrogenic type at small well widths and/or low electric fields to a 3D hydrogenic type in wide wells and/or high electric fields.

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