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Self-consistent Hartree method for calculations of exciton binding energy in quantum wells |
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| Institution: | 1. Department of Physics, Queens College of the City University of New York, Flushing, NY 11367, United States;2. Naval Research Laboratory, Washington, DC 20375, United States;1. Department of Physics, Urmia University of Technology, Urmia, Iran;2. Department of Solid State Physics, Yerevan State University, Alex Manoogian 1, 0025 Yerevan, Armenia;1. College of Physics and Electronic Engineering, Henan Normal University, Xinxiang 453007, China;2. Henan Key Laboratory of Photovoltaic Materials, Xinxiang 453007, China;3. Key Laboratory of Artificial Micro- and Nano-structures of Ministry of Education, and School of Physics and Technology, Wuhan University, Wuhan 430072, China;1. Department of Electronics Engineering, University of Rome Tor Vergata, Via del Politecnico 1, 00133, Rome, Italy;2. CNR-ISMN, Via Salaria Km 29, 600, 00017 Monterotondo, Rome, Italy |
| Abstract: | A new computationally efficient and flexible approach to calculating characteristics of excitons in quantum wells based on a self-consistent variational treatment of the electron–hole Coulomb interaction is developed. It is applied to several different quantum well materials and is shown to give much better (lower) values of exciton energies. The iterative scheme used to calculate the energies and respective wave functions is stable and rapidly convergent. The authors believe that the method can be an important computational tool in computing exciton characteristics in shallow quantum wells exceeding currently existing approaches in accuracy and efficiency. The method can also be naturally generalized for quantum wires and dots. |
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