Influence of a strong electromagnetic wave (laser radiation) on the hall effect in quantum wells with a parabolic potential

Based on the quantum kinetic equation for electrons, we theoretically study the influence of an electromagnetic wave (EMW) on the Hall effect in a quantum well (QW) with a parabolic potential V(z) = mω z z 2/2 (where m and ω z are the effective mass of electron and the confinement frequency of QW, respectively) subjected to a crossed dc electric field $\vec E_1 $ = (0, 0,E1) and magnetic field $\vec B$ = (0,B, 0) in the presence of a strong EMW characterized by electric field $\vec E$ = (E0 sint, Ωt, 0, 0) (where E 0 and Ω are the amplitude and the frequency of EMW, respectively). We obtain analytic expressions for the components σ zz and σ xz of the Hall conductivity as well as a Hall coefficient with a dependence on B, E 1, E 0, Ω, temperature T of the system and the characteristic parameters of QW. The results are numerically evaluated and graphed for a specific quantum well, GaAs/AlGaAs, to show clearly the dependence of the Hall conductivity and the Hall coefficient on above parameters. The influence of the EMW is interpreted by using the dependences of the Hall conductivity and the Hall coefficient on the amplitude E 0 and the frequency Ω of EMW and by using the dependences on the magnetic field B and the dc electric field E 1 as in the ordinary Hall effect.

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