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

• Main Author: I.V. Boyko
• Format: Article
• Language: English
• Published: Institute for Condensed Matter Physics 2018-12-01
• Series: Condensed Matter Physics
• Subjects: quantum cascade detector; piezoelectric polarization; spontaneous polarization; resonance tunneling structure; oscillator strength
• Online Access: https://doi.org/10.5488/CMP.21.43701

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%.