This problem was also studied in the presence of both low frequency and high frequency EMW [5]. Moreover, in these works, the dependence of magnetoresistance as well as magnetoconductivity on the relative angle of applied fields has been considered carefully. The behaviors of this effect are much more interesting in low-dimensional systems, especially a two-dimensional electron gas (2DEG) system. | JOURNAL OF SCIENCE OF HNUE Mathematical and Physical Sci. 2013 Vol. 58 No. 7 pp. 154-166 This paper is available online at http THE HALL COEFFICIENT IN PARABOLIC QUANTUM WELLS WITH A PERPENDICULAR MAGNETIC FIELD UNDER THE INFLUENCE OF LASER RADIATION Bui Dinh Hoi Do Tuan Long Pham Thi Trang Le Thi Thiem and Nguyen Quang Bau Faculty of Physics College of Natural Science Vietnam National University Hanoi Abstract. We consider a model of the Hall effect when a quantum well QW with a parabolic potential V z mωz2 z 2 2 where m and ωz are the effective mass of electron and the confinement frequency of QW respectively is subjected to a crossed dc electric field EF E ⃗ 1 E1 0 0 and magnetic field B ⃗ 0 0 B in the presence of a strong electromagnetic wave EMW characterized by electric field E⃗ 0 E0 sin Ωt 0 where E0 and Ω are the amplitude and the frequency of the EMW respectively . By using the quantum kinetic equation for electrons and considering the electro-optical phonon interaction we obtain analytical expressions for the conductivity as well as the Hall coefficient HC with a dependence on B E1 E0 Ω the temperature T of the system and the characteristic parameters of QW. The analytical results are computationally evaluated and graphically plotted for a specific quantum well GaAs AlGaAs. Numerical results for the conductivity componentσxx show the resonant peaks which can be explained by the magnetophonon resonance and optically detected magnetophonon resonance conditions. Also the HC reaches saturation as the magnetic field or the EMW frequency increases and weakly depends on the amplitude of the EMW. Furthermore the HC in this study is always negative while it has both negative and positive values in the case of in-plane magnetic field. Keywords Hall effect quantum kinetic equation parabolic quantum wells electron - phonon interaction. Received November 14 2012. Accepted October 8 2013. Contact Bui Dinh Hoi e-mail address hoibd@ 154 The .
