Induction kinetics in 2D electron systems at the Hall plateaus

Specific features of the induction excitation of 2D electron systems at the Hall plateaus are discussed. The corresponding kinetics is shown to have several frequency regimes. In the region $\omega\gg \omega_D$, where $\omega_D$ is the frequency characteristic of the kinetics at the Hall plateaus, an induction-caused variation of electron density follows the magnetic-field variation with time. For the frequencies $\omega\leq \omega_D$, a noticeable relaxation of the electron disturbance appears, and the induction polarization of 2D samples at the Hall plateaus noticeably decreases as compared to the maximum possible polarization. Finally, in the limit $\omega \le \omega_{\rm slow} $, where $\omega_{\rm slow}$ corresponds to another characteristic time of the quantum Hall effect, the so-called adiabatic approximation takes place with the 2D system responding to the derivative of magnetic field $dH/dt$ rather than to the magnetic field itself $H(t)$. The results of calculations are compared with the experimental data reported in the literature.