Electron energy in quantum dots of different configurations

Tovstyuk, Cornelia

doi:10.1080/15421406.2020.1732549

Cited by 2 publications

(3 citation statements)

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“…The most important physical parameter in this problems is energy level, which can be changed by interaction of electron with the phonons, denoting the temperature vibrations of the atoms or ions of the environment. This is an significant question, because you cannot remove the temperature influence on the spectrum of electron in quatum dots [1,2]. Here the energy level is constant: it does not depend on the wave vector of the particle.…”

Section: Motivationmentioning

confidence: 99%

“…We define the mass operator ( M α ( ω ) from ( 2)), which contains the average possible interactions between electrons and phonons. We adde it to the energy of a particle in denominator of the Fourier image of the Green's function (2). Then we determine the energy of the particles is from the poles of this Green's function (2).…”

Section: Analytical Equation To Determine the Energymentioning

confidence: 99%

“…We adde it to the energy of a particle in denominator of the Fourier image of the Green's function (2). Then we determine the energy of the particles is from the poles of this Green's function (2). In our case, the energies from (2) and the interaction function are independed on the wave vectors of the particles.…”

Section: Analytical Equation To Determine the Energymentioning

confidence: 99%

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The shift of the constant energy level after the interaction of particles with the polarizing phonons

Tovstyuk¹

2022

CPEE

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The shift of the electron energy level due to its interaction with the polarizing phonons is investigated here for the particles whose energy does not depend on the wave vector. We also analyze the influence of the value of the constant of electron - phonon interaction and other parameters of the problem on the electron energy change. The methods of Green's functions, presented by the the Feynman diagrams and using the double permutations, are present here. The paper contains the analysis of the columns of the corresponding double permutations, the analytical expressions of which form the mass operator presented by the chain fractions. We received the expressions for admissibles and inadmissibles columns for phonon components of double permutations. The numerical calculations allow to conclude about the energy shift and how it depends on the parameters.

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Section: Motivationmentioning

confidence: 99%

Section: Analytical Equation To Determine the Energymentioning

confidence: 99%