Calculation of the Acoustomagnetoelectric Field in a Rectangular Quantum Wire with an Inflnite Potential in the Presence of an External Magnetic Field

The acoustomagnetoelectric (AME) efiect in a rectangular quantum wire (RQW) with an inflnite potential is investigated in the presence of an external magnetic fleld (EMF). The analytic expression for the AME fleld in a RQW with an inflnite potential is calculated by using the quantum kinetic equation for the distribution function of electrons interacting with external phonons. The dependence of AME fleld on the acoustic wave number q, the temperature of the system T and the intensity of the external magnetic fleld H are obtained. The analytic expression for the AME fleld is numerically evaluated, plotted and discussed for the speciflc RQW with an inflnite potential GaAs. The dependence of the AME fleld on the temperature of the system is signiflcantly reduced in the low temperature region and it is approximately constant in the high temperature region. In the dependence of the AME fleld on the intensity of the EMF, the AME fleld can get the small peaks corresponding to the resonance frequency of the cyclotron- electron-acoustic phonon. The results are compared with those for normal bulk semiconductors and superlattices to show the difierence. 1. INTRODUCTION In recent times, there have been more and more interests in studying and discovering the behavior of low-dimensional system, in particular, one-dimensional systems, such as quantum wire. In quantum wires, the motion of electrons is restricted in two dimensions, so that they can ∞ow freely in one dimension. The conflnement of electron in these systems has changed the electron mobility remarkably. This has resulted in a number of new phenomena, which concern a reduction of sample dimensions. These efiects difier from those in bulk semiconductors, for example, electron-phonon interaction and scattering rates (1) and acoustic-electromagnetic wave interaction (2). It is well known that the propagation of the acoustic wave in conductors is accompanied by the transfer of the energy and momentum to conduction electrons. This leads to the emergence of a longitudinal acoustoelectric efiect, i.e., a stationary electric current running in a sample in the direction opposite to that of the wave. Presently this efiect has been studied in detail both theoretically and experimentally and has found wide application in radioelectrionic systems (3{10). In the presence of an EMF the acoustic wave is propagated in the conductor can produce another efiect called the acoustomagnetoelectric (AME) efiect. It was predicted by Galperin and Kagan (11) and later observed experimentally in bismuth (12). In addition, the quantum AME efiect due to the Rayleigh sound waves was investigated in a bulk semiconductor (13,14), the AME efiect was also studied in a monopolar semiconductor (15) for both the case of the weak magnetic fleld region and the quantizing magnetic fleld region, a superlattice (16) and a cylindrical quantum wire (CQW) with an inflnite potential (17) only the case of the weak magnetic fleld region. However, the AME efiect in the RQW with an inflnite potential has not been studied yet. Therefore, the purpose of this work is to examine this efiect in the RQW with an inflnite potential for the case the quantizing magnetic fleld region. In this paper, we present a calculation of the AME fleld in a RQW with an inflnite potential by using the quantum kinetic equation for the distribution function of electrons interacting with external phonons. We assumed the deformation mechanism of electron-acoustic phonon interaction. We have obtained the AME fleld in the RQW with an inflnite potential in the presence of an EMF. The dependence of the expression for the AME fleld on acoustic wave numbers q, the temperature of the system T and the intensity H of the EMF has been shown. Numerical calculations are carried out a speciflc the RQW with an inflnite potential GaAs to clarify our results.