An Infinite Semi-parabolic Asymmetric Quantum Well: Oscillations in the Peltier Coefficient under the Influence of Intense Electromagnetic Waves

Abstract

Abstract: This paper presents a detailed theoretical investigation of the Peltier coefficient (PC) in an infinite semi-parabolic asymmetric quantum well (ISPAQW) under the influence of an intense electromagnetic wave (EMW), considering electron-acoustic phonon scattering as the dominant scattering mechanism. By employing the quantum kinetic equation method, we have derived the analytical expressions for the conductivity tensor (), the thermoelectric tensor (), and subsequently, the PC. Numerical calculations were performed to scrutinize the complex dependence of the PC on various system parameters, including the magnetic field (B), temperature (T), EMW frequency (Ω), and confinement frequency . The results reveal that the PC exhibits distinct Shubnikov-de Haas (SdH)-like oscillations, originating from the electron-phonon interaction, as the magnetic field varies. Notably, our study demonstrates that external parameters modulate these oscillations in fundamentally different ways: Increasing the temperature T enhances the oscillation amplitude without altering the peak positions (phase). Increasing the EMW frequency  strongly suppresses the amplitude and concurrently shifts the peaks toward higher magnetic fields. In contrast, increasing the confinement frequency  enhances the amplitude while also shifting the peaks to higher magnetic fields. These findings provide crucial insights into the underlying physical mechanisms and the controllability of thermoelectric effects in semiconductor nanostructures.

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