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arXiv · 1812.08544

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

I. V. Boyko
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Abstract

Using the effective mass model for an electron and the dielectric continuum model, analytical solutions of the self-consistent Schr\"odinger-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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I. V. Boyko. 2018-12-20. Analytical method for calculation of the potential profiles of nitride-based resonance tunneling structures. https://doi.org/10.5488/cmp.21.43701

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