Title: Analytical method for calculation of the potential profiles of nitride-based resonance tunneling structures
Author(s):

I.V. Boyko (Ternopil Ivan Puluj National Technical University, 56 Ruska St., 46001 Ternopil, Ukraine)

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%.

Key words: quantum cascade detector, piezoelectric polarization, spontaneous polarization, resonance tunneling structure, oscillator strength
PACS: 73.21.Ac, 78.20.hb, 78.67.-n

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