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.

Electron spectrum of δ-doped quantum wells by the Thomas–Fermi method at finite temperatures

2011 ◽  
Vol 406 (11) ◽  
pp. 2218-2223 ◽  
Author(s):  
V. Grimalsky ◽  
L.M. Gaggero-Sager ◽  
S. Koshevaya
Keyword(s):  
Quantum Wells ◽  
Electron Spectrum ◽  
Thomas Fermi

scholarly journals Effective electron mass in high-mobility SiGe/Si/SiGe quantum wells

JETP Letters ◽  
2014 ◽  
Vol 100 (2) ◽  
pp. 114-119 ◽  
Author(s):  
M. Yu. Melnikov ◽  
A. A. Shashkin ◽  
V. T. Dolgopolov ◽  
S. V. Kravchenko ◽  
S. -H. Huang ◽  
...  
Keyword(s):  
Quantum Wells ◽  
High Mobility ◽  
Electron Mass ◽  
Effective Electron Mass ◽  
Effective Electron ◽  
Sige Quantum Wells

Intersubband optical absorption and electron relaxation rates in GaN/AlGaN coupled double quantum wells

2001 ◽  
Vol 693 ◽  
Author(s):  
J. D. Heber ◽  
C. Gmachl ◽  
H. M. Ng ◽  
A. Y. Cho ◽  
S.-N. G. Chu
Keyword(s):  
Quantum Wells ◽  
Optical Phonon ◽  
Longitudinal Optical ◽  
Longitudinal Optical Phonon ◽  
Double Quantum ◽  
Electron Mass ◽  
Effective Electron Mass ◽  
Effective Electron ◽  
Peak Absorption ◽  
Electron Relaxation

AbstractRecent interest in intersubband (IS) transitions in semiconductor heterostructures with large band offset has been fueled by attempts to extend the wavelength range of IS-based optical devices to the fiber-optics wavelength range around ~ 1.55 μm. GaN/AlGaN-based heterostructures are of particular interest due to their large effective electron mass and large longitudinal optical phonon energy. Both are essential to achieve ultrafast electron relaxation at large transition energies. IS absorption in GaN/AlGaN single and coupled double quantum wells (DQWs) has been measured. The samples were grown by molecular beam epitaxy on sapphire substrate and with a large (0.65 or 0.9) AlN-mole fraction in the barriers. Peak absorption wavelengths as short as 1.35 μm and 1.52 μm were measured for a symmetric DQW of 12 Å wide wells coupled by a 10 Å wide barrier, which also showed evidence of excited-state anti-crossing. As expected, asymmetric DQWs displayed no such anti-crossing, and the ground-state anti-crossing energies were found to be much smaller – as a result of the comparatively large effective electron mass – than the energy broadening of individual transitions. The asymmetric DQWs displayed peak absorption wavelengths between 1.5 and 2.9 μm. The electron relaxation time, attributed to longitudinal optical phonon scattering has been measured by pump-probe technique as 240 fs for a coupled DQW sample.

scholarly journals Simulations of the Electron Spectrum of Quantum Wires in <i>n</i>-Si of Arbitrarily Doping Profile by Thomas-Fermi Method

2018 ◽  
Vol 10 (08) ◽  
pp. 143-156
Author(s):  
Volodymyr Grimalsky ◽  
Svetlana Koshevaya ◽  
Jesus Escobedo-Alatorre ◽  
Igor Moroz
Keyword(s):  
Electron Spectrum ◽  
Quantum Wires ◽  
Doping Profile ◽  
Thomas Fermi
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