Shubnikov-De Haas Effect in Cylindrical Quantum Wires under the Influence of a Laser Radiation

Abstract

Considering an infinite potential Cylindrical Quantum Wire (CQW) subjected to a dc electric field 1 1(0, 0, ) E E= , a Magnetic Field (MF) ( ,0,0) B B = and a laser radiation 0sin E E t = Ω (where0E and Ω are the amplitude and the frequency of the laser radiation, respectively), the quantum kinetic equation for electron distribution function is obtained. Assuming the electron gas is non-degenerate and considering the Electron - Acoustic Phonon (AP) interaction, we achieve analytical expressions for the conductivity tensor and the Hall Coefficient (HC), which are different from those for the case of the Electron - AP interaction in a Rectangular Quantum Wire (RQW) or in Two-Dimensional Electron Gas (2DEG). The Shubnikov-de Haas (SdH) oscillationswill appear. The amplitudes of SdHoscillations in the dependence of Magnetoresistance(MR) decrease with increasing MF.Numerical calculations are applied for GaAs/GaAsAl CQW to show the nonlinear dependence ofthe HC on the frequency of the laser radiation Ω , and MagneticField (MF) B . Wave function and energy spectrum in a CQW are dissiminar to those in other Quantum Wires (QWs). Therefore, all numerical results are different from those in the case of QWs. The most important result is that the HC reaches saturation as the magnetic field or the EMW frequency increases.