Effect of electron-optical phonon interaction on resonant tunneling in coupled quantum wells

Zhu, J. G.; Ban, S. L.

doi:10.1140/epjb/e2012-20981-9

Cited by 13 publications

(6 citation statements)

References 26 publications

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“…In the dielectric continuum model [18][19][20][21][22]24,26,27], the polarization field potential, Φ(r), and the spectrum of interface phonons are determined by the equation…”

Section: {︃mentioning

confidence: 99%

“…Therefore, the applied and fundamental researches were directed at studying and improving the operational parameters of those nanodevices, their physical and geometric characteristics [7][8][9][10][11][12][13][14][15][16][17], focusing no attention on the issues of electron-phonon interaction. With the appearance of QCLs, which are capable to function at high temperatures, the number of the works devoted to the research of the electron-phonon interaction in RTSs considerably increased [10,[18][19][20][21][22][23]. Their overwhelming majority was based on the model of effective masses for electrons and the model of dielectric continuum for optical phonons.…”

Section: Introductionmentioning

confidence: 99%

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Role of Interface Phonons in the Functioning of an Injectorless Quantum Cascade Laser

2016

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A Hamiltonian for the electron-phonon system in the double-well resonant tunneling structure in the dc electric field has been obtained, by using the models of rectangular potential profile and effective mass for electrons and the dielectric continuum model for phonons. This structure is a separate cascade of the injectorless quantum cascade laser. The renormalized parameters of the electron spectrum are calculated for an arbitrary temperature, by using the method of thermodynamic Green's functions. It is shown that, in accordance with the experiment, the laser radiation band broadens out and weakly shifts with the temperature growth. K e y w o r d s: resonant tunneling nanostructure, quantum cascade laser, interface phonons, electron-phonon interaction, Green's function.

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“…In the dielectric continuum model [18][19][20][21][22]24,26,27], the polarization field potential, Φ(r), and the spectrum of interface phonons are determined by the equation…”

Section: {︃mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Role of Interface Phonons in the Functioning of an Injectorless Quantum Cascade Laser

2016

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“…(28). The integrals in the formulae (30), (31) are analytically calculated but we do not present them due to their sophisticated forms.…”

Section: Transmission Coecient and Dynamic Conductivity Of Electrons mentioning

confidence: 99%

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

et al. 2015

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The theoretical description of electronic tunneling transport through the three-well nanostructure (In0.53Ga0.47As/In0.52Al0.48As), 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 eld and phonons is calculated. Within the Green functions approach, the electron spectrum, renormalized due to the interaction with conned optical and interface phonons is obtained at cryogenic and room temperatures. The role of dierent mechanisms of electronphonon interaction in the formation of temperature shifts, decay rates of electron states and electromagnetic eld 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 conned 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.

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“…Concerning planar nanostructures, the overwhelming majority of theoretical works dealing with them were devoted to the analysis of the electron-phonon interaction in closed two-and three-barrier RTSs (3BRTSs) with fixed geometrical parameters. Various methods were used to study their current-voltage characteristics and the probabilities of quantum transitions stimulated by an electromagnetic field making allowance for the electron-phonon interaction [17,18]. As the main model of electron-phonon interaction in those works, the model of dielectric continuum was selected, which was developed in detail for the first time by Mori and Ando [19].…”

Section: Introductionmentioning

confidence: 99%

“…The basic theoretical researches were carried out using the Fermi golden rule. The latter made it possible to calculate and analyze the temperature evolution of parameters that characterize interband quantum transitions [17,18,21]. However, it did not allow one to find how the electron-phonon interaction modifies the energies and the damping of quasi-stationary electron states in quantumwell RTSs.…”

Section: Introductionmentioning

confidence: 99%

Influence of Confined Polarization Phonons on the Electron Spectrum in the Three-Barrier Active Zone of a Quantum Cascade Detector

Tkach¹,

Seti²,

Grynyshyn³

2014

Ukr. J. Phys.

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The Hamiltonian of an electron-phonon system in the second-quantization representation for all variables has been obtained. The models of effective mass and rectangular potentials for electrons and the polarization continuum model for confined phonons in a three-barrier resonant tunneling nanostructure are used. In the framework of the Green's function method, the phonon-renormalized electron spectra are calculated for a three-barrier resonant tunneling nanostructure composed of GaAs wells and Al Ga1− As barriers with various Al contents 's. Irrespective of the Al content, the temperature-induced variations in the geometrical configuration of the three-barrier resonant tunneling nanostructure within the temperature interval from 0 to 300 K are found to increase the widths of both lower (working) quasi-stationary states and decrease their energies. The widths and the shifts of the states turned out to be strongly nonlinear functions depending on the position of the internal barrier in the three-barrier resonant tunneling nanostructure. K e y w o r d s: resonant tunneling nanostructure, quantum cascade detector, electron-phonon interaction.

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Effect of electron-optical phonon interaction on resonant tunneling in coupled quantum wells

Cited by 13 publications

References 26 publications

Role of Interface Phonons in the Functioning of an Injectorless Quantum Cascade Laser

Role of Interface Phonons in the Functioning of an Injectorless Quantum Cascade Laser

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

Influence of Confined Polarization Phonons on the Electron Spectrum in the Three-Barrier Active Zone of a Quantum Cascade Detector

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