The Transverse Hall effect (THE) has been theoretical studied in a quantum well (QW) with high infinite potential subjected to a crossed dc electric field and a magnetic field (MF) which is oriented perpendicularly to the confinement direction in the present of an intense electromagnetic wave (EMW). | VNU Journal of Science: Mathematics – Physics, Vol. 33, No. 1 (2017) 1-7 The Transverse Hall Effect in a Quantum Well with High Infinite Potential in the Influence of Confined Optical Phonons Le Thai Hung1,*, Nguyen Quang Bau2, Pham Ngoc Thang2 1 VNU University of Education, 144 Xuan Thuy, Hanoi, Vietnam Faculty of Physics, VNU University of Science, 334 Nguyen Trai, Hanoi, Vietnam 2 Received 15 January 2017 Revised 16 February 2017; Accepted 20 March 2017 Abstract: The Transverse Hall effect (THE) has been theoretical studied in a quantum well (QW) with high infinite potential subjected to a crossed dc electric field and a magnetic field (MF) which is oriented perpendicularly to the confinement direction in the present of an intense electromagnetic wave (EMW). The analytical expression of the transverse hall coefficient (THC) which depends not only on the parameters of the system but especially on the quantum number m characterizing confined phonons, is obtained by using the quantum kinetic equation method for confined electrons - confined optical phonons interaction. The analytic expression of THC is numerically evaluated, plotted and discussed for a specific case of the AlAs/GaAs/AlAs QW. Results show the THC depends strong nonlinearly on the EMW amplitude and the MF. All results are compared with that in case of unconfined phonons to see differences. Keywords: Transverse Hall effect, Confined phonons, Quantum Well. 1. Introduction In recent years, the low-dimensional system (LDS) is the great interest in researches because of these unusual behaviors. This due to that the motion of both electrons and phonon are restricted and their energy levels become discrete [1-2]. The strong effect of electron and phonon confinement enhanced the nonlinear kinetic properties of LDS have been investigated. For example, the influence of confined electrons and confined phonons on the nonlinear absorption coefficient of EMW [3], the parametric interactions and .
