scholarly journals SPECTRAL AND TRANSPORT PROPERTIES OF ONE-DIMENSIONAL NANORING SUPERLATTICE

2013 ◽  
Vol 27 (20) ◽  
pp. 1350103 ◽  
Author(s):  
M. A. PYATAEV ◽  
M. A. KOKOREVA
Keyword(s):  
Magnetic Field ◽  
Energy Spectrum ◽  
Electron Energy ◽  
Spectral Properties ◽  
Bound States ◽  
Energy Levels ◽  
Electron Energy Spectrum ◽  
Discrete Energy ◽  
One Dimensional ◽  
System Parameters

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.

scholarly journals Discrete spectrum of many body Schrödinger operators with non-constant magnetic fields II

1997 ◽  
Vol 145 ◽  
pp. 69-98
Author(s):  
Tetsuya Hattori
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Discrete Spectrum ◽  
Bound States ◽  
Atomic System ◽  
Energy Levels ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Many Body ◽  
Discrete Energy

This paper is continuation from [10], in which we studied the discrete spectrum of atomic Hamiltonians with non-constant magnetic fields and, more precisely, we showed that any atomic system has only finitely many bound states, corresponding to the discrete energy levels, in a suitable magnetic field. In this paper we show another phenomenon in non-constant magnetic fields that any atomic system has infinitely many bound states in a suitable magnetic field.

scholarly journals MATLAB Wavelet analysis of electron energy spectrum in one-dimensional quantum well with infinitely high walls for Al-Ga-As system (0 < x < 1)

2021 ◽  
Vol 2056 (1) ◽  
pp. 012025
Author(s):  
E R Kozhanova ◽  
I M Tkachenko ◽  
V V Belyaev ◽  
S Maignan
Keyword(s):  
Energy Spectrum ◽  
Quantum Well ◽  
Energy Levels ◽  
Electronic States ◽  
Semiconductor Nanostructures ◽  
Electron Energy Spectrum ◽  
Wave Functions ◽  
Quantum Energy ◽  
One Dimensional ◽  
Analysis Of Results

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.

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