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        Theoretical study of photo-stimulated thermo-magnetoelectric effects in two-dimensional compositional superlattices using quantum kinetic equation

        Ba Cao Thi Vi,Bau Nguyen Quang,Quynh Nguyen Thi Lam,Nam Nguyen Dinh,Long Do Tuan 한국물리학회 2022 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.81 No.8

        Two scattering mechanisms, including the confned electron (CE)–confned acoustic phonon (CAP) scattering and the CE–confned optical phonon (COP) scattering, have been considered in the theoretical problem of photo-stimulated thermomagnetoelectric efects (TME) occurring in two-dimensional compositional semiconductor superlattices (CSS). The quantum kinetic equation (QKE) method is applied to calculate the characteristic quantities of two typical photo-stimulated TME, namely, the Ettingshausen efect (EE) and the Peltier efect (PE). The obtained analytical results show that the external felds (the magnetic feld B, the dc electric feld E, the frequency 휔 and the amplitude E0 of the laser radiation), the period of superlattice d as well as the temperature of the systems T are quantities that govern the quantum Ettingshausen coefcient (qEC) and the quantum Peltier coefcient (qPC).The presence of m-quantum number specifying phonon confnement in the analytical expression of the qEC and the qPC is as a demonstration for the infuence of size efect on both the EE and the PE. The results are numerically estimated and graphed for the GaAs∕Al0.25Ga0.75As CSS to indicate the dependence of the qEC and the qPC on aforementioned quantities. Moreover, the confned phonons contribute to the magneto-phonon-photon resonance condition (MPPRC) in CSS. Therefore, the behaviors of the photo-stimulated TME within phonon confnement are diferent from the case of bulk phonons. Due to the confnement of an acoustic phonon, the Shubnikov–de Hass oscillations are observed with the changes in the amplitude and the posture when investigating the dependence of the qEC and the qPC on the magnetic feld and the frequency of the laser radiation (LR). Meanwhile, resonance peaks of these coefcients are relocated under the infuence of a COP. Besides, the confnement of phonons causes the changes in the magnitude of both the qEC and the qPC compared to the case of unconfned phonons. The obtained results hold true for all temperatures and contribute to perfecting the theory of the quantum TME in the low-dimensional semiconductor systems (LDSS).

      • KCI등재

        Calculation of parallel Peltier coefficient in rectangular quantum wires under the influence of confined optical phonons and electromagnetic waves using quantum kinetic equation

        Dien Tang Thi,Ba Cao Thi Vi,Bau Nguyen Quang,Anh Nguyen Thi Nguyet 한국물리학회 2023 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.82 No.12

        The infuence of confned optical phonons (confned OP) and electromagnetic waves on the Peltier efects in rectangular quantum wires (RQW) in a parallel magnetic feld is investigated. Theoretical results for the parallel Peltier coefcient (PC) are determined using the quantum kinetic equation method. It is defned as a function of the external magnetic feld, amplitude, and frequency of the electromagnetic wave, temperature, and size of the RQW, especially quantum numbers m1, and m2 characterizing the confned OP. The theoretical results are numerically appraised and graphed for the GaAs RQW model. It shows that confned OP not only increases the parallel PC but also expands the resonance position compared to the unconfned OP case. Besides, the parallel PC increases signifcantly as the temperature rises and the confned OP is the main cause of the increase in the parallel PC at low temperatures. In addition, the resonance peaks of the parallel PC are shifted to the region of the larger magnetic feld. When the width of the RQW is less than 20 nm, the parallel PC increases signifcantly. When the width of the RQW rises to infnity, the results of bulk semiconductors could be obtained.

      • KCI등재

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

        Bau Nguyen Quang,Quynh Nguyen Thi Lam,Ba Cao Thi Vi,Hung Le Thai 한국물리학회 2020 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.77 No.12

        Photo-stimulated quantum thermo-magnetoelectric effects in doped two-dimensional semiconductor superlattices, including the photo-stimulated quantum Ettingshausen effect and the photo-stimulated quantum Peltier effect, have been theoretically studied by using the quantum kinetic equation method. In this work, we assume that the electron-confined acoustic phonon scattering is essential. Moreover, the presence of the laser radiation (LR) is also taken into account to determine the influence of confined phonons on the aforementioned effects. We have defined the analytical expressions for the kinetic tensors and the Ettingshausen and the Peltier coefficients, presented the numerically calculated the theoretical results for the GaAs:Si/GaAs:Be doped semiconductor superlattice and compared them with these for the case of an unconfined acoustic phonon. The results obtained indicated that the formulas for the kinetic tensors, the Ettingshausen coefficient (EC) and the Peltier coefficient (PC) contain the quantum number m specifying the confinement of a phonon and approach the results for an unconfined phonon as m goes to zero. We found that the kinetic tensors, the EC and the PC oscillate with changing magnetic field and that the confinement of a phonon causes a shift of the peaks in these oscillations to lower energy. The dependences of both EC and PC on the temperature were found to be nonlinear. Moreover, all the coefficients level off when the temperature was less than 4.5 K or greater than 5.5 K. The EC also depended on the doping concentration in a nonlinear way and reaches a positive constant value when the semiconductor superlattice was doped with a high concentration. Most of the numerical results showed that the magnitude of the tensors, the EC as well as the PC, within a confined acoustic phonon varie significantly in comparison with the unconfined phonon case. This means that the confinement of the phonon affects the thermo-magnetoelectric effect quantitatively and qualitatively. These results contribute to completing the theory of the thermo-magnetoelectric effects in the low-dimensional semiconductor systems.

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