Application of Schrödinger equation in quantum well of Cu2ZnSnS4 quaternary semiconductor alloy

An approximate solution of the radial Schrödinger equation is obtained with a generalized group of potentials in the presence of both magnetic field and potential effect using supersymmetric quantum mechanics and shape invariance methodology. The energy bandgap of the generalized group of potentials...

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Bibliographic Details
Published in:Heliyon 2020-06, Vol.6 (6), p.e04062-e04062, Article e04062
Main Authors: Onate, C.A., Ebomwonyi, O., Olanrewaju, D.B.
Format: Article
Language:English
Subjects:
Energy band gap
Potential models
Quantum mechanics
Quantum well
Schrodinger equation
Supersymmetry
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Summary:An approximate solution of the radial Schrödinger equation is obtained with a generalized group of potentials in the presence of both magnetic field and potential effect using supersymmetric quantum mechanics and shape invariance methodology. The energy bandgap of the generalized group of potentials was calculated for s−wave cases at the ground state. By varying the numerical values of the potential strengths, the energy band gap of Hellmann's potential and Coulomb-Hulthẻn potential respectively were obtained. It is noted that the inclusion of the potential effect greatly affects the accuracy of the results. Our calculated results are in agreement and better than the existing calculated results. The present results approximately coincide with the standard bandgap of Cu2ZnSnS4 (CZTS). Quantum mechanics, Quantum well, Energy band gap, Supersymmetry, Schrodinger equation, Potential models.
ISSN:2405-8440
2405-8440
DOI:10.1016/j.heliyon.2020.e04062