Donor impurity energy levels in GaAs/Al Ga1−As circular quantum dots
| Autor: | Francisco A. P. Osório, Adriana Brito Aguiar Marques, A. N. Borges, P.C.M. Machado |
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| Rok vydání: | 2012 |
| Předmět: |
Physics
Condensed matter physics Transcendental equation Binding energy Electron Condensed Matter::Mesoscopic Systems and Quantum Hall Effect Condensed Matter Physics Molecular physics Atomic and Molecular Physics and Optics Electronic Optical and Magnetic Materials Schrödinger equation symbols.namesake Variational method Quantum dot symbols Boundary value problem Wave function |
| Zdroj: | Physica E: Low-dimensional Systems and Nanostructures. 44:1361-1366 |
| ISSN: | 1386-9477 |
| DOI: | 10.1016/j.physe.2012.02.019 |
| Popis: | In this work we calculate the donor binding energy of a hydrogenic donor impurity located in the center of a GaAs–AlxGa1−xAs circular quantum dot. The electron wave functions are obtained analytically by solving the Schrodinger equation and the impurity energy levels are determined through the solution of the transcendental equations obtained from the boundary conditions imposed at the interfaces of the quantum dot. We find numerically the roots of the transcendental equations for circular quantum dots, with finite height of the confinement potential. Our analytical results for circular quantum dot are compared with that obtained via variational method. Results for spherical quantum dots are also included for the sake of comparison. |
| Databáze: | OpenAIRE |
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