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Self-Consistent Results for the 2DEG in a Quantized Triangular Well

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An analytical model for the 2DEG in a quantized triangular well is reported. With the potential induced by carriers being taken into account, a nonlinear perturbation approach is developed to solve the coupled Schroedinger and Poisson equations. In addition, we introduce a variation method to investigate the effect of the barrier height on the electrons' eigenenergy and find that it is not negligible, whereas almost all of the reported analytical models take an infinite barrier height assumption for simplicity. The expressions obtained by our model have a compact form and thus can be easily used in the modeling of 2DEG based device. To confirm our approach, the numerical simulation is also done. It is demonstrated that our solution has a high precision and agrees well with the numerical results.
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Document Type: Short Communication

Publication date: September 1, 2014

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  • Nanoscience and Nanotechnology Letters (NNL) is a multidisciplinary peer-reviewed journal consolidating nanoscale research activities in all disciplines of science, engineering and medicine into a single and unique reference source. NNL provides the means for scientists, engineers, medical experts and technocrats to publish original short research articles as communications/letters of important new scientific and technological findings, encompassing the fundamental and applied research in all disciplines of the physical sciences, engineering and medicine.
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