The Nernst Effect in Infinite Semi-parabolic Asymmetric Quantum Wells with Electron-aacoustic Phonon Scattering in the Presence of Electromagnetic Wave
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Abstract
We theoretically investigate the thermomagnetic Nernst effect in an infinite semi-parabolic asymmetric quantum well under the influence of a high-frequency electromagnetic wave. By using the quantum kinetic equation method, we derive analytical expressions for the Nernst coefficient, taking into account the electron-acoustic phonon interaction as the primary scattering mechanism. Numerical results show that the Nernst coefficient exhibits distinct Shubnikov-de Haas oscillations due to Landau quantization. We analyze in detail the dependence of the Nernst coefficient on temperature, magnetic field, confinement frequency, and electromagnetic wave frequency. A key finding is the contrasting influence of thermal and electromagnetic parameters: while increasing temperature significantly suppresses the oscillation amplitude via thermal broadening without affecting the peak positions, the presence of a high-frequency electromagnetic wave not only dampens the amplitude but also induces a shift in the resonance peaks. Additionally, the Nernst coefficient is found to be enhanced by a stronger confinement potential. These results suggest that the thermomagnetic properties of an infinite semi-parabolic asymmetric quantum well can be effectively tuned by external fields, offering potential applications in low-temperature nanodevices.
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