Subband Structure and Optical Transitions in a Superlattice with Electron Quasi-Localised States in Unit Cell

1999 ◽  
Vol 579 ◽  
Author(s):  
A.V. Dmitriev ◽  
V.V. Makeev
Keyword(s):  
Matrix Element ◽  
Dispersion Relation ◽  
Band Structure ◽  
Electron Spectrum ◽  
Unit Cell ◽  
Wave Functions ◽  
Optical Transitions ◽  
Dipole Matrix Element ◽  
Localised States ◽  
Subband Structure

ABSTRACTWe studied theoretically the electron spectrum and infrared transitions in a superlattice with a unit cell allowing for quasi-localised carrier states. The dispersion relation and the band structure of such a system have been found. We also calculated the dipole matrix element for inter-subband carrier infrared transitions. The wave functions and the electron spectrum in this superlattice show a peculiarity when the energy of a band state approaches the energy of the quasi-localised state in the single cell. In particular, the absorption strength peaks up at the respective frequencies.

An analytical approach for the energy spectrum and optical properties of gated bilayer graphene

RSC Advances ◽  
2014 ◽  
Vol 4 (61) ◽  
pp. 32117-32126 ◽  
Author(s):  
Cheng-Peng Chang
Keyword(s):  
Optical Properties ◽  
Energy Spectrum ◽  
Matrix Element ◽  
Absorption Spectra ◽  
Analytical Approach ◽  
Bilayer Graphene ◽  
Wave Functions ◽  
Dipole Matrix Element ◽  
Exact Energy

An analytical approach is developed to access the exact energy spectrum, wave functions, dipole matrix element (Mfi) and absorption spectra (A(ω)) of gated Bernal bilayer graphene.

On the nature of the Mn-related states in the band structure of (Ga,Mn)As alloys via probing the E1 and E1 + Δ1 optical transitions

2014 ◽  
Vol 105 (3) ◽  
pp. 032408 ◽  
Author(s):  
L. Gluba ◽  
O. Yastrubchak ◽  
G. Sęk ◽  
W. Rudno-Rudziński ◽  
J. Sadowski ◽  
...  
Keyword(s):  
Band Structure ◽  
Optical Transitions

scholarly journals Thomas-Fermi method for computing the electron spectrum and wave functions of highly doped quantum wires in n-Si

2015 ◽  
Vol 28 (1) ◽  
pp. 103-111 ◽  
Author(s):  
Volodymyr Grimalsky ◽  
Outmane Oubram ◽  
Svetlana Koshevaya ◽  
Christian Castrejon-Martinez
Keyword(s):  
Quantum Wells ◽  
Electron Spectrum ◽  
Quantum Wires ◽  
Wave Functions ◽  
Variation Method ◽  
Hamiltonian Matrix ◽  
Electron Mass ◽  
Dinger Equation ◽  
Effective Electron ◽  
Thomas Fermi

The application of the Thomas-Fermi method to calculate the electron spectrum in quantum wells formed by highly doped n-Si quantum wires is presented under finite temperatures where the many-body effects, like exchange, are taken into account. The electron potential energy is calculated initially from a single equation. Then the electron energy sub-levels and the wave functions within the potential well are simulated from the Schr?dinger equation. For axially symmetric wave functions the shooting method has been used. Two methods have been applied to solve the Schr?dinger equation in the case of the anisotropic effective electron mass, the variation method and the iteration procedure for the eigenvectors of the Hamiltonian matrix.

Electric-dipole matrix-element formulas in hyperspherical coordinates with applications toH−and He

1986 ◽  
Vol 33 (2) ◽  
pp. 1000-1007 ◽  
Author(s):  
Chang-Hwan Park ◽  
Anthony F. Starace ◽  
Jiang Tan ◽  
Chii-Dong Lin
Keyword(s):  
Matrix Element ◽  
Electric Dipole ◽  
Dipole Matrix Element ◽  
Hyperspherical Coordinates

Theoretical ionization energies and oscillator strengths for the sodium isoelectronic sequence

1969 ◽  
Vol 47 (8) ◽  
pp. 835-838 ◽  
Author(s):  
R. P. McEachran ◽  
C. E. Tull ◽  
M. Cohen
Keyword(s):  
Matrix Element ◽  
Transition Matrix ◽  
Transition Matrix Element ◽  
Wave Functions ◽  
Oscillator Strengths ◽  
Isoelectronic Sequence ◽  
Ionization Energies ◽  
Core Approximation

Orbital wave functions for a number of 2S, 2P0, 2D, and 2F0 states of Na, Mg+, and Al2+ have been calculated by means of the frozen core approximation. The oscillator strengths of all allowed dipole transitions have been determined using both length and velocity formulations for the transition matrix element; these results agree with each other to within a few percent.

scholarly journals SPIN – A Schrödinger-Poisson Solver Including Nonparabolic Bands

VLSI Design ◽  
1998 ◽  
Vol 8 (1-4) ◽  
pp. 489-493
Author(s):  
H. Kosina ◽  
C. Troger
Keyword(s):  
Dispersion Relation ◽  
Effective Mass ◽  
Schrodinger Equation ◽  
Wave Functions ◽  
Two Dimensional ◽  
Electron Systems ◽  
Dimensional Electron ◽  
One Dimensional ◽  
Poisson Solver ◽  
Two Dimensional Electron Systems

Nonparabolicity effects in two-dimensional electron systems are quantitatively analyzed. A formalism has been developed which allows to incorporate a nonparabolic bulk dispersion relation into the Schrödinger equation. As a consequence of nonparabolicity the wave functions depend on the in-plane momentum. Each subband is parametrized by its energy, effective mass and a subband nonparabolicity coefficient. The formalism is implemented in a one-dimensional Schrödinger-Poisson solver which is applicable both to silicon inversion layers and heterostructures.

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