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Quantum Chemistry

Analytical method for calculation of the potential profiles of nitride-based resonance tunneling structures

arXiv
Authors: I. V. Boyko

Year

2018

Paper ID

22564

Status

Preprint

Abstract Read

~2 min

Abstract Words

108

Citations

N/A

Abstract

Using the effective mass model for an electron and the dielectric continuum model, analytical solutions of the self-consistent Schrödinger-Poisson system of equations are obtained. Quantum mechanical theory of electronic stationary states, the oscillator strengths of quantum transitions and a method of potential profile calculation is developed for the experimentally constructed three-well resonance-tunneling structure --- a separate cascade of quantum cascade detector. For the proposed method, a comparison with the results of other methods and with the results of the experiment was carried out. A good agreement between the calculated value of the detected energy and its experimental value has been obtained, the difference being no more than 2.5\%.

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  • Using the effective mass model for an electron and the dielectric continuum model, analytical solutions of the self-consistent Schrödinger-Poisson system of equations are obtained.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1812.08544 [2] arXiv https://arxiv.org/abs/1812.08544 [3] Publisher https://arxiv.org/abs/1812.08544

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