A generalized self-consistent approach to study position-dependent mass in semiconductors organic heterostructures and crystalline impure materials

The purpose of this study is to generalize the Coordinate Integral Transform recently introduced in literature for the self-consistent solution of Schrödinger equation in one-dimensional systems with position-dependent mass. It was revealed that the present generalized approach reveals several motiv...

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Bibliographic Details
Published inPhysica. E, Low-dimensional systems & nanostructures Vol. 124; p. 114295
Main Author El-Nabulsi, Rami Ahmad
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.10.2020
Subjects
Impure materials
Position-dependent mass
Semiconductors
Semiconductors
Impure materials
Position-dependent mass
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Summary:The purpose of this study is to generalize the Coordinate Integral Transform recently introduced in literature for the self-consistent solution of Schrödinger equation in one-dimensional systems with position-dependent mass. It was revealed that the present generalized approach reveals several motivating properties in material sciences and may be used to model and solve a large number of problems arising in solid state sciences ranging from semiconductors heterostructures to organic semiconductors and crystalline solids subject to impurities. •The Coordinate Integral Transform approach for position-dependent mass appraoch is generalized.•A generalized Schrödinger equation is obtained.•The new theory is suitable to describe a large family of semiconductors heterostructures, organic and impure materials.•Enhancement of ground energy levels is revealed.
ISSN:1386-9477
DOI:10.1016/j.physe.2020.114295