ELECTRICAL-PROPERTIES OF A 2-DIMENSIONAL ELECTRON-GAS UNDER A GENERALONE-DIMENSIONAL PERIODIC MAGNETIC-FIELD

We have given a detailed investigation of the energy spectrum and the electrical properties of a two-dimensional electron gas modulated by a general form of one-dimensional periodic magnetic field along the x d irection, by generalizing the theory of Peeters and Vasilopoulos and t hat of Xue and Xiao on the magnetic modulation in the lowest order of approximation of Fourier transformation. The presence of the magnetic modulation lifts the degeneracy of the Landau levels, which are broade ned into bands, and leads to Weiss-like oscillations in the magnetores istance. The oscillations in p(xx) (and the modulation correction Delt a p(xx)) and p(yy) (and Delta P-yy) are out of phase, while Delta p(xy ) oscillates in phase with Delta p(xx). The amplitude of oscillation o f the modulation correction Delta p(xx) is much larger than those of D elta P-yy and Delta P-xy. We also find the surprising result that, whi le the Hall resistance displays quantized plateaux, the transport acro ss the magnetic barriers can be nearly dissipationless. The contributi on of high-frequency components of Fourier transformation is obvious a t high fields and is negligible at low fields.