Exciton and donor binding energies in quantum-well wires and quantum dots a fractional-dimensional space approach |
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Authors: | Li Hong and Kong Xiao-Jun |
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Affiliation: | National Laboratory of Magnetism, Institute of Physics, Chinese Academy of Sciences, Beijing 100080, China; Department of Physics, Hebei Normal University, Shijiazhuang 050016, China |
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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. |
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Keywords: | binding energy fractional-dimensional |
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