Resonant interaction of electrons with a high frequency electric field in two-barrier structures

Active conductivity of plane two-barrier resonance tunnel structure as operating element of quantum cascade laser or detector

“…Taking into account the small sizes of two-barrier RTS compared to the electromagnetic wavelength, in quasi-classic approximation [11][12][13][14][15][16][17] the calculation of the guided current density is performed, determining the real part of nano-system conductivity…”

“…The theory of dynamic conductivity [11][12][13][14][15][16][17] of electrons in open RTS, as separate active element of QCL working in ballistic regime, is developed within the analytic solution of complete Schrodinger equation using the simplified model of electron constant effective mass in all parts of nano-system and δ-like approximation of rectangular potential barriers. In the cited and other papers, based on the simplified model of RTS, important results were obtained explaining the general properties of conductivity in open systems, but due to the rather rough approximating models, as it was established in reference [18], the obtained magnitudes of resonance energies and width of electron quasi-stationary states in RTS (essentially determining the conductivity magnitude) were manifestly overestimated compared to the more realistic model of rectangular potentials.…”

Non-perturbation theory of electronic dynamic conductivity for two-barrier resonance tunnel nano-structure

“…It is evident that in linear approximation over the electromagnetic field intensity, the coefficients B ± 0 , A ± 4 are also linear. Consequently, in this approximation, (the same in PT [4][5][6][7][8][9][10][11][12][13][15][16][17][18][19]) the dynamic conductivity is independent of .…”

Evolution of electron spectrum in symmetric two-barrier open nanostructure under the influence of strong electromagnetic field

“…Here, the Hamiltonian of the system contains the electron kinetic energy (the first term), the electron potential energy written in a typical δ-barrier approximation (see [5][6][7][8][9][10][11][12]),…”

“…In the majority of the relevant theoretical papers [5][6][7][8][9], a so-called small signal approximation has been used. In its frames, only terms linear in the electric intensity of electromagnetic field are maintained in the Hamiltonian and the wave functions.…”