https://doi.org/10.1140/epjp/s13360-022-03193-6
Regular Article
The spatial electric field effect on the impurity binding energy and self-polarization in a double quantum dot
1
Solid Physics Laboratory, Department of Physics, Faculty of Sciences Dhar El Mehraz, Sidi Mohamed Ben Abdellah University, B.P. 1796, Dhar El Mahraz, Fez, Morocco
2
Faculty of Sciences and Technique, Sidi Mohammed Ben Abdellah University, B.P. 2202, Route d’Imouzzer, Fez, Morocco
Received:
1
June
2022
Accepted:
10
August
2022
Published online:
27
August
2022
This paper provides a theoretical investigation of the binding energy 
and self-polarization of a hydrogenic shallow donor impurity located in a 
double quantum dot under the influence of the spatial electric field. The variational approach within the effective mass approximation is used to solve the Schrödinger equation. The main contributions reveal that the effect of the spatial electric field on the impurity binding energy is less presented compared to the applied electric field in the x-direction. Also, the binding energy and the self-polarization are significantly affected by the spatial electric field strength 
, the impurity position 
, and the barrier width. In the absence of the spatial electric field, the self-polarization is an odd function with respect to the barrier center having two small peaks. Moreover, our findings show that for different impurity locations, the angles of the spatial electric field components θ and φ affect dramatically the binding energy.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
