Influence of the image charge effect on the hydrogen-like impurity-bound polaron in a spherical quantum dot in the presence of an electric field |
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| Affiliation: | 1. Department of Physics, College of Sciences, Yasouj University, Yasouj, 75914-353, Iran;2. Department of Optics and Laser Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran;3. Department of Mathematics, College of Sciences, Yasouj University, Yasouj, Iran;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. E.N.S de Fès, Département de Physique, B.P. 5206 Bensouda, Fès, Morocco;2. Department of Mathematics and Computer Science, Mohammed Premier University, Faculty Pluridisciplinary, 300 Selouane, 62700 Nador, Morocco;3. Department of Mathematics and Computer Science, Sidi Mohamed Ben Abdellah University, Faculty of Science, B.P. 1796 Dhar El Mehraz, Fez, Morocco |
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| Abstract: | We have investigated the influence of an external electric field on the binding energies and polaronic shifts of the ground and some first few excited states of a hydrogenic impurity in a spherical quantum dot by taking into account the image charge effect. By using Landau–Pekar variational method the general analytical expression is obtained for the impurity bound-polaron energies. It has been numerically identified the conditions (electric field, nominal radius of quantum dot, etc.) in which the bound-polaron states can be existence in GaAs quantum dot. We have shown that the polaronic shifts in the binding energy of 1s-like state are the same in cases with and without image charge effect while they for 2s-like state are not coincide and have different monotonic behavior versus confinement potential. Electron–phonon interaction lifts the degeneracy of the 2px-, 2py-, and 2pz-like states of a donor impurity and reduces their binding energies. |
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| Keywords: | Quantum dot Hydrogen-like impurity Polaron Image charge effect Electric field |
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