Two Dimensional Infinite Semi-parabolic Asymmetric Quantum Wells: Ettingshausen Coefficient under the Influence of Intense Electromagnetic Wave

Abstract

A theoretical study is presented for the quantum Ettingshausen effect in a two-dimensional electron gas confined by an infinite semi-parabolic asymmetric quantum well (ISPQW) and subjected to an intense electromagnetic wave (EMW). Within the framework of the quantum kinetic equation, we derive new analytical forms of the dynamic transport tensors (, , , and ) together with the Ettingshausen coefficient (EC), explicitly incorporating electron–acoustic phonon scattering. Numerical evaluations for GaAs/AlGaAs heterostructures demonstrate that the EC strongly and nonlinearly depends on the magnetic field (B), temperature (T), EMW frequency (), and confinement frequency (). The EC exhibits distinct Shubnikov–de Haas (SdH) quantum oscillations, whose amplitudes increase with temperature while their peak positions remain almost unchanged. Conversely, both stronger magnetic fields and higher EMW frequencies suppress these oscillations. Furthermore, variations with confinement frequency  produce large-amplitude quantum oscillations, reflecting strong quantization effects arising from the asymmetric confining potential. These findings elucidate how structural asymmetry and electron–phonon coupling shape quantum thermomagnetic transport, offering valuable insights for the design of advanced low-dimensional thermoelectric systems.

A theoretical study is presented for the quantum Ettingshausen effect in a two-dimensional electron gas confined by an infinite semi-parabolic asymmetric quantum well (ISPQW) and subjected to an intense electromagnetic wave (EMW). Within the framework of the quantum kinetic equation, we derive new analytical forms of the dynamic transport tensors (, , , and ) together with the Ettingshausen coefficient (EC), explicitly incorporating electron–acoustic phonon scattering. Numerical evaluations for GaAs/AlGaAs heterostructures demonstrate that the EC strongly and nonlinearly depends on the magnetic field (B), temperature (T), EMW frequency (), and confinement frequency (). The EC exhibits distinct Shubnikov–de Haas (SdH) quantum oscillations, whose amplitudes increase with temperature while their peak positions remain almost unchanged. Conversely, both stronger magnetic fields and higher EMW frequencies suppress these oscillations. Furthermore, variations with confinement frequency  produce large-amplitude quantum oscillations, reflecting strong quantization effects arising from the asymmetric confining potential. These findings elucidate how structural asymmetry and electron–phonon coupling shape quantum thermomagnetic transport, offering valuable insights for the design of advanced low-dimensional thermoelectric systems.