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Simplified calculations of band-gap renormalization in quantum-wells
Affiliation:1. Department of Physics, Faculty of Education at Al-Mahweet, Sana''a University, Al-Mahweet, Yemen;2. Department of Physics, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia;3. Physics Department, Faculty of Science- Al Faisaliah, King Abdulaziz University, Jeddah, Saudi Arabia;4. Department of Physics, Faculty of Education, Ain Shams University, Roxy Square, 11757, Cairo, Egypt;1. INFN - Laboratori Nazionali Frascati, Via E. Fermi 40, CP 13, 00044, Frascati, RM, Italy;2. Department of Electrical Engineering and Graduate Institute of Electronics Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei 10617, Taiwan;3. Physical-Technical Institute of Ural Branch of RAS, Kirova Str. 132, Izhevsk 426000, Russia;4. National Research Centre ‘Kurchatov Institute’, 1 Akademika Kurchatova Pl, 123182 Moscow, Russia;5. European Commission, Joint Research Centre, JRC-Geel, Retieseweg, 111 Geel, Belgium;6. Instytut Fizyki, Uniwersytet Jagielloński, Reymonta 4, 30-059 Cracow, Poland;7. RICMASS, Rome International Center for Materials Science Superstripes, Via Sabelli 119A, 00185 Roma, Italy;1. Raja Ramanna Centre for Advanced Technology, Indore, 452013 M.P., India;2. UGC-DAE Consortium for Scientific Research, Khandwa Road, Indore, 452001 M.P., India;1. Volgograd State Socio-Pedagogical University, Physical Laboratory of Low-Dimensional Systems, V.I. Lenin Avenue, 27, Volgograd 400066, Russia;2. Volgograd State Technical University, V.I. Lenin Avenue, 28, Volgograd 400005, Russia
Abstract:Non-linear optical properties of photoexcited semiconductor quantum-wells are of interest because of their opto-electronic device application possibilities. Many-body interactions of the optically created electrons and holes lead to the band-gap renormalization which in turn determines the absorption spectra of such systems. We employ a simplified approach to calculate the band-gap renormalization in quantum-well systems by considering the interaction of a single electron-hole pair with the collective excitations (plasmons). This method neglects the exchange-correlation effects but fully accounts for the Coulomb-hole term in the single-particle self-energy. We demonstrate that the density, temperature, and well-width dependence of the band-gap renormalization for GaAs quantum-wells within our model is in good agreement with the experimental results.
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