Abstract
Based on the quantum kinetic equation for electrons, we theoretically study the influence of a Strong Electromagnetic Wave (EMW) on the Hall effect in a cylindrical quantum wire with infinitely high potential = 0) inside the wire and = ∞ elsewhere subjected to a crossed dc electric field = (0, 0, E1) and magnetic field = (0, B, 0) in the presence of a strong EMW (laser radiation) characterized by electric field = (0, 0, E0 sin Ωt) (where E0 and Ω are amplitude and frequency of EMW, respectively). We obtain the analytic expressions for the components σzz and σxz of Hall conductivity as well as Hall coefficient with the dependence on B, Ω. The results are numerically evaluated and graphed for GaAs/GaAsAl quantum wire to show clearly the dependence of Hall conductivity and Hall coefficient on above parameters.
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