Open AccessSelf-Consistent Calculation of Potential Profile of GaN/AlN Resonace Tunnelling Structures
Author(s) -
Igor Boyko,
N. V. Tkach,
Ju. O. Seti
Publication year - 2017
Publication title -
fìzika ì hìmìâ tverdogo tìla
Language(s) - English
Resource type - Journals
eISSN - 2309-8589
pISSN - 1729-4428
DOI - 10.15330/pcss.18.3.288-296
Subject(s) - quantum tunnelling , cascade , piezoelectricity , poisson's equation , quantum well , effective mass (spring–mass system) , schrödinger equation , electron , dielectric , polarization (electrochemistry) , quantum , physics , condensed matter physics , materials science , quantum mechanics , chemistry , laser , chromatography , acoustics
For resonant tunneling structure with GaN – potential wells and AlN – potential barriers, calculation of internal fields caused by piezoelectric and spontaneous polarization was carried. In the model the effective mass of an electron and a dielectric continuum model using finite difference method self-consistent solutions of the Schrödinger and Poisson system of equations taking into account the contribution of piezoelectric and spontaneous polarizations was found.Based on the found solutions of the Schrödinger and Poisson system of equations for resonance tunneling structure, which functioned as a cascade experimentally realized a quantum cascade detector, calculation of the potential profile and the electron energy spectrum was carried. It was found, that calculated value of detected energy is different from the experimentally obtained not more than 3 %.