Theoretical Study of the Magneto-Thermoelectric Effect in Doped Semiconductor Superlattices under the Influence of an Electromagnetic Wave by Using a Quantum Kinetic Equation

Abstract

By using a quantum kinetic equation for electrons, we studied magneto - thermoelectric effects in the doped semiconductor superlattice (DSSL) under the influence of electromagnetic waves (EMW). In case of the electron - acoustic phonon interaction, we have also figured out analytical expressions of the Ettingshausen coefficient (EC) in DSSL. These expressions are quite different from those which were obtained in the case of bulk semiconductors. The results are numerically calculated for the GaAs:Be/ GaAs:Si DSSL; we found that the EC depends on the characteristic parameters of EMW, temperature and the characteristic parameters of DSSL. The results are consistent with recently experimental observations but the EC is different from that in the bulk semiconductors or bismuth. In addition, the impact of the EMW on the Ettingshausen effect was also discovered. These are latest results which have been studied in terms of Ettingshausen effect in DSSL.

Doped Two-dimensional Semiconductor Superlattice: Photo-stimulated Quantum Thermo-magnetoelectric Effects under the Influence of a Confined Phonon

“…In both cases (with and without a CAP), an oscillation of the tensors with increasing magnetic field was observed, and the oscillation amplitudes of the tensors grew as the magnitude of the magnetic induction was increased. The oscillations of kinetic tensors was also presented in theoretical research on thermo-magnetoelectric phenomena in 2DS [6,8,9] and in experimental observation for the low-dimensional GaAs/AlGaAs structure [24]. The appearance of Shubnikov-de Hass (SdH) oscillations confirms the presence of Landau quantization with increasing magnetic field [24].…”

“…The appearance of Shubnikov-de Hass (SdH) oscillations confirms the presence of Landau quantization with increasing magnetic field [24]. However, due to the phonon confinement, tensors have smaller values in comparison with unconfined phonon case [8]. Moreover, the confinement of an AP not only affected the position of the peaks in the oscillations of the tensors, caused the peaks to shift to the lower energy (when compared with the case of unconfined phonon), but also made the oscillations more pronounced.…”

“…The quantum Ettingshausen effect is a thermomagnetoelectric effect detected when studying the Hall effect in Bismuth. Many papers related to this issue have been published [5][6][7][8][9]. At low temperatures, the transverse Nernst-Ettingshausen effect in a quantum well monotonically increases when the temperature gradient is along the direction of free motion [5].…”

“…6, magnetophonon oscillations in both transverse thermopower and the longitudinal thermopower of high-mobility GaAs quantum wells are visible for temperatures above 2 K. Research results on Ettingshausen effect around a Landau level filling factor υ = 3 indicated that a positive (negative) resistance change corresponds to an enhancement (reduction) of the edge-bulk coupling [7]. In DSSs, auxiliary extremum peaks of the Ettingshausen coefficient (EC) are created in a high magnetic field due to the presence of electromagnetic wave [8]. The amplitude of the quantum EC's oscillation changes significantly due to the presence of an electromagnetic wave in the compositional superlattice of GaAs/AlGaAs [9].…”

Magneto-thermoelectric Effects in Cylindrical Quantum Wire under the Influence of Electromagnetic Wave for Electron-optical Phonon Scattering

“…The magneto-thermoelectric effect, often called as Ettingshausen effect, which has just been researched in bulk semiconductors [13][14][15][16] is one of the electrical, magnetic and thermal effects of semiconductor systems. Furthermore, the magneto-thermoelectric effect in low-dimension systems has just been studied in two-dimension system (quantum well) [17][18][19]. Due to the fact that the electron's energy spectrum and single wave function in two-dimension systems are different from the case of one-dimension systems, the Ettingshausen effect characterizes in each case lead us to separated results.…”