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Dynamic Conductivity of Electrons and Electron-Phonon Interaction in Open Three-Well Nanostructures

100%
Tkach M., Seti J., Grynyshyn Y., Voitsekhivska O.
Acta Physica Polonica A
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2015
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vol. 128
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issue 3
343-352
EN
The theoretical description of electronic tunneling transport through the three-well nanostructure (In_{0.53}Ga_{0.47}As/In_{0.52}Al_{0.48}As), being an expanded active region of quantum cascade detector, is presented. Using the solution of the Schrödinger equation, the dynamic conductivity caused by quantum transitions due to the interaction of electrons with electromagnetic field and phonons is calculated. Within the Green functions approach, the electron spectrum, renormalized due to the interaction with confined optical and interface phonons is obtained at cryogenic and room temperatures. The role of different mechanisms of electron-phonon interaction in the formation of temperature shifts, decay rates of electron states and electromagnetic field absorption bands is investigated. It is shown that independently of the temperature, the contribution produced by interface phonons into renormalized electron spectrum is several times bigger than that of confined phonons. However, the experimentally observed long-wave shift and broadening of absorption band at higher temperatures is, mainly, caused by the decreasing heights of resonant tunneling structure potential barriers.
2
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Electron and Exciton Quasi-Stationary s-States in Open Spherical Quantum Dots

100%
Tkach M., Seti J., Voitsekhivska O.
Acta Physica Polonica A
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2012
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vol. 122
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issue 1
207-211
EN
The theoretical calculation of spectral parameters of electron and exciton quasi-stationary s-states in open spherical quantum dot is performed within the effective mass approximation and rectangular potentials model. The conceptions of probability distribution functions (over quasi-momentum or energy) of electron location inside of quantum dot and their spectral characteristics: generalized resonance energies and widths are introduced. It is shown that the generalized resonance energies and widths, obtained within the distribution functions, satisfy the Heisenberg uncertainty principle for the barrier widths varying from zero to infinity. At the same time, the ordinary resonance energies and widths defined as complex poles of scattering S-matrix, do not satisfy it for the small barrier widths and, therefore, are correct only for the open quantum dots with rather wide potential barriers.
3
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Transmission Canals for the Photon-Assisted Transport of Electron through the Double-Barrier Resonant Tunneling Structure

100%
Tkach M., Seti J., Voitsekhivska O.
Acta Physica Polonica A
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2013
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vol. 124
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issue 1
94-101
EN
The resonance and non-resonance transmission canals of double-barrier resonant tunneling structure are established for the electron-photon system using the exact solution of one-dimensional non-stationary Schrödinger equation expanded into the Fourier range. It is shown that besides the main and satellite, the mixed quasi-stationary states which cause the appearance of specific transmission canals with the properties strongly dependent on the intensity and frequency of electromagnetic field, exist in the nanostructure.
4
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Electronic Conductivity in Open Cylindrical Two-Barrier Symmetric Resonance Tunnel Structure

88%
Tkach M., Makhanets O., Seti J., Dovganiuk M., Voitsekhivska O.
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issue 6
965-970
EN
The theory of resonance energies and widths of electron quasi-stationary states and electronic conductivity in open cylindrical two-barrier symmetric resonance tunnel structure is developed. The complete Schrodinger equation is solved within the model of effective masses for rectangular potential wells and barriers. Interaction between electrons and electromagnetic field was taken into account using the approximation of the small signal. The calculations of spectral parameters are performed for In_{0.53}Ga_{0.47}As/In_{0.52}Al_{0.48}As resonance tunnel structure. The dependences of conductivity on the energy of mono-energy electrons beam falling at the system and electromagnetic field energy absorbed or emitted by the system are obtained and analyzed. The relation between experimentally measured parameters of conductivity and resonance widths of electron quasi-stationary states in open resonance tunnel structure is established.
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