Rectangular quantum wire with an infinite potential GaAs/AlGaAs: Quantum theory of acoustomagnetoelectric effect in the presence of electromagnetic wave

The acoustomagnetoelectric (AME) effect in an GaAs/AlGaAs rectangular quantum wire with infinite potential (RQWIP) is investigated under the influence of electromagnetic wave (EMW) by using quantum kinetic equation (QKE) method. We obtain the electron distribution function in the interaction with internal and external phonon. By solving the inhomogeneous differential equation, the current density $\vec{J}$ and the acoustomagnetoelectric field (E _AME) are obtained in the dependence on the EMW amplitude, external acoustic wave frequency, the system temperature and the RQWIP length. The results are numerically evaluated for GaAs/AlGaAs quantum wire. We compares it to the result obtained in case of the bulk semiconductors and others low-dimension system in order to show the difference and the novelty of the results. The E _AME depends non-linearly on the wire length L _z and exhibits an oscillatory behavior as the function of wire length, although the stability period in long wire length condition. Moreover, we survey the impact of EMW on E_AME with the dependence on the external acoustic wave frequency $\omega \vec{q}$ The result also indicates that the current density $\vec{J}$ amplifies exponentially as the temperature increases.