Electronic Conductivity in Open Cylindrical Two-Barrier Symmetric Resonance Tunnel Structure

Abstract

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.

Theory of the Properties of Resonant-Tunneling Nanostructures as Active Elements of Quantum Cascade Lasers and Detectors

“…It is known that the physical parameters of QCLs and QCDs are governed, to a great extent, by the characteristics of RTS, which is an active element of those nanodevices. In their turn, RTSs are characterized by the active dynamic conductivity, σ, and parameters that are connected with the spectral characteristics -the resonance energies E n and widths Γ n -of those quasistationary states, which are engaged into the quantum transition [9,12]. Calculations were carried out, and the obtained results were analyzed for, as an example, an experimentally created and often studied [2-4, 13, 14] The main properties of the resonance energies, E n , lifetimes, τ n , and maximum magnitudes of the active dynamic conductivity, σ, are illustrated in Fig.…”

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 dynamic conductivity established in references [16][17][18][19] for the open two-and three-barrier RTS is based, as a rule, on a more realistic model but it is so complicated compared to the δ-barrier model that it is practically impossible to leave the framework of weak signal approximation. Nevertheless, the development of experimental capabilities makes the problem of strong interaction of electronic currents and electromagnetic field in RTS more and more urgent.…”

Influence of the Lateral Electrostatic Field on the Statistical Distribution of Charge Carriers in a Cylindrical Nanolayer of β-HgS

“…In the quantum mechanical aspect, they represent a nano radial barrier/well/barrier heterostructure with cylindrical symmetry. The most common and intensively studied of them are cylindrical nanocomposites β-CdS/ β-HgS/ β-CdS (see publications [9][10][11][12][13][14][15][16] and references therein). The interest of researchers in these heterophase structures is primarily due to the manifestation of a number of unique properties of metacinnabar under size quantization conditions.…”

“…From the applied point of view, for device applications, these structures will be more multifunctional than individual quantum films and quantum wires. In works [9,10], the energy spectrum of charge carriers in a layered cylindrical β-CdS/ β-HgS/ β-CdS heterostructure was calculated, and in work [13], the specifics of the conduction mechanism in such structures were considered. Raman scattering of electrons in a cylindrical layered β-CdS/β-HgS quantum dot is considered in work [12], and work [15] is devoted to studying the effect of hydrostatic pressure and temperature factor on the diamagnetic properties of the electron subsystem in a β-CdS/β-HgS cylindrical structure.…”