scholarly journals MATLAB Modelling electron energy spectrum in one-dimensional quantum well with infinitely high walls for GaAs solid solution

2021 ◽  
Vol 2056 (1) ◽  
pp. 012024
Author(s):  
E R Kozhanova ◽  
I M Tkachenko

Abstract The paper presents calculations of electron states in semiconductor nanostructures AlxGa1–x As (x=0) and simulates the energy spectrum of the electron in a one-dimensional quantum well with infinitely high walls of a given width (from 10 to 30 atomic monolayers) using MATLAB application. The data is visualized using a wavelet transform with different wavelet functions.

2021 ◽  
Vol 2056 (1) ◽  
pp. 012025
Author(s):  
E R Kozhanova ◽  
I M Tkachenko ◽  
V V Belyaev ◽  
S Maignan

Abstract This paper presents calculations of electronic states in AlxGa1-x As semiconductor nanostructures and simulates the envelope wave functions of quantum energy levels in a one-dimensional quantum well with infinitely high walls of a given width at various values of x. For the analysis of results the authors choose the function wtmm from the Matlab library that fixes the extremums and which is a characteristic of the fractality of the envelope wave functions of quantum energy levels.


1994 ◽  
Vol 6 (47) ◽  
pp. 10307-10316 ◽  
Author(s):  
Ruisheng Zheng ◽  
Shiliang Ban ◽  
Xi Xia Liang

2013 ◽  
Vol 27 (20) ◽  
pp. 1350103 ◽  
Author(s):  
M. A. PYATAEV ◽  
M. A. KOKOREVA

Spectral properties of periodic one-dimensional array of nanorings in a magnetic field are investigated. Two types of the superlattice are considered. In the first one, rings are connected by short one-dimensional wires while in the second one rings have immediate contacts between each other. The dependence of the electron energy on the quasimomentum is obtained from the Schrödinger equation for the Bloch wavefunction. We have found an interesting feature of the system, namely, presence of discrete energy levels in the spectrum. The levels can be located in the gaps or in the bands depending on parameters of the system. The levels correspond to bound states and electrons occupying these levels are located on individual rings or couples of neighboring rings and do not contribute to the charge transport. The wavefunction for the bound states corresponding to the discrete levels is obtained. Modification of electron energy spectrum with variation of system parameters is discussed.


2014 ◽  
Vol 44 (2) ◽  
pp. 90-95
Author(s):  
I. F. Selyanin ◽  
V. B. Deev ◽  
A. I. Kutsenko ◽  
A. A. Kutsenko ◽  
O. G. Prikhod’ko

1988 ◽  
Vol 130 (6-7) ◽  
pp. 381-384 ◽  
Author(s):  
A.V. Kuzmenko ◽  
I.R. Sagdeev ◽  
D.A. Usikov ◽  
G.M. Zaslavsky

Author(s):  
V.A. Kosobukin

AbstractA theory of plasmon-exciton coupling and its spectroscopy is developed for metal-semiconductor nanostructures. Considered as a model is a periodic superlattice with cells consisting of a quantum well and a layer of metal nanoparticles. The problem is solved self-consistently using the electrodynamic Green’s functions taking account of resonant polarization. Coulomb plasmon-exciton interaction is associated with the dipole surface plasmons of particles and their image charges due to excitonic polarization of neighboring quantum well. Optical reflection spectra are numerically investigated for superlattices with GaAs/AlGaAs quantum wells and silver nanoparticles. Superradiant regime caused by one-dimensional Bragg diffraction is studied for plasmonic, excitonic and plasmon-excitonic polaritons depending on the number of supercells. The plasmon-excitonic Rabi splitting is shown to occur in reflectivity spectra of resonant Bragg structures.


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