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Magneto – thermoelectric Effects in Quantum Well in the Presence of Electromagnetic Wave

We have studied magneto-thermoelectric effects in quantum well in the presence of electromagnetic wave. The analytic expression for Ettingshausen coefficient (EC) in the Quantum Well with parabolic potential (QWPP) in the presence of Electromagnetic wave (EMW) is calculated by using the quantum kinetic equation for electrons. The dependence of EC on the frequency, the amplitude of EMW, the Quantum Well parameters and the temperature are obtained. | VNU Journal of Science: Mathematics – Physics, Vol. 33, No. 2 (2017) 1-9 Magneto – thermoelectric Effects in Quantum Well in the Presence of Electromagnetic Wave Nguyen Quang Bau*, Dao Thu Hang, Doan Minh Quang, Nguyen Thi Thanh Nhan Faculty of Physics, VNU University of Science, 334 Nguyen Trai, Hanoi, Vietnam Received 15 March 2017 Revised 16 April 2017; Accepted 20 May 2017 Abstract: We have studied magneto-thermoelectric effects in quantum well in the presence of electromagnetic wave. The analytic expression for Ettingshausen coefficient (EC) in the Quantum Well with parabolic potential (QWPP) in the presence of Electromagnetic wave (EMW) is calculated by using the quantum kinetic equation for electrons. The dependence of EC on the frequency, the amplitude of EMW, the Quantum Well parameters and the temperature are obtained. The results are numerically calculated, plotted, and discussed for GaAs/GaAsAl Quantum Well to clearly show the dependence of EC on above parameters and the results in this case are compared with the case in the bulk semiconductors. We realize that as the temperature increases, the EC decreases. The results show appearance of the Shubnikov–de Haas (SdH) oscillations when we survey the dependence of EC on the magnetic field. Keywords: Ettingshausen, Quantum well, Electromagnetic wave, parabolic potential, GaAs/GaAsAl. 1. Introduction The magneto-thermoelectric effect has been studied both theoretically and experimentally. In [1, 2], the theory of the Ettingshausen effect in the bulk semiconductors has been also investigated. According to the Hicks and Dresselhaus [3] predicted that “the thermoelectric figure of merit for twodimensional QWs and one-dimensional quantum wires should be substantially enhanced relative to the corresponding bulk materials”. In [4], the mechanism for the increase of thermoelectric power of ntype multivalley PbTe/Pb1−xEuxTe QWs has been studied theoretically. The theory of thermopower in quantum dots was .