Open AccessHole States in Spherical Quantum Nanoheterosystem with Intermediate Spin-Orbital Interaction
Author(s) -
I.V. Bilynskyi,
R. Ya. Leshko,
I. S. Shevchuk,
H. Metsan
Publication year - 2019
Publication title -
fìzika ì hìmìâ tverdogo tìla
Language(s) - English
Resource type - Journals
eISSN - 2309-8589
pISSN - 1729-4428
DOI - 10.15330/pcss.20.3.227-233
Subject(s) - physics , hamiltonian (control theory) , excited state , condensed matter physics , radius , boundary value problem , quantum mechanics , quantum well , circular symmetry , heterojunction , quantum dot , schrödinger equation , quantum electrodynamics , mathematical optimization , laser , mathematics , computer security , computer science
The hole energy spectrum has been studied for the spherical semiconductor nanoheterosystem with the cubic symmetry. The exact solutions of the Schrödinger equation for the ground and excited hole states are presented within the framework of the 6-band Luttinger Hamiltonian and the finite gap of bands with the corresponding boundary conditions. Dependence of the holes energies from the radius of the quantum dot has been calculated for the GaAs/AlAs heterostructure. Obtained results where compared with data obtained using the infinite potential well model, as well as the single-band model for heavy and light holes.