The properties of electronic conductivity in a two-barrier symmetric nanostructure of a cylindrical shape

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 .…”

“…The theory of electronic conductivity for the two-and three-barrier resonance tunnel structures (RTS) [4][5][6][7][8][9][10] is rather complicated and mathematically sophisticated even without taking into account the dissipative processes (scattering at the phonons, impurities, imperfections). Therefore, the maximally simplified model is used in the above mentioned and other papers [11][12][13]: δ-like approximation of potential barriers for the electrons and weak signal approximation equivalent to the first order of perturbation theory (PT) over the intensity of electromagnetic field interacting with electronic current in RTS.…”

“…We must note that δ-like approximation of potential barriers essentially simplifies the model of nano-structure. Herein, the electron is automatically characterized by the unitary effective mass within the whole system, which permits to calculate the RTS dynamic conductivity [4][5][6][7][8][9][10][11][12][13] using the PT iteration method and in such a way, quit the frames of linear approximation over the field intensity.…”