Dynamical Hall conductivity {\sigma}_H({\omega}) of a 2D electron gas with impurities in the perpendicular magnetic field is analyzed. Plateau-like behavior at low frequencies as well as at high frequencies provided the complete filling of Landau levels is predicted. The broadening of a Landau level separates two frequency regions with different behaviour. Imaginary part of dynamical Hall conductivity reveals oscillations in the localized states region. Comparison with the experiment is carried out.
@article{arxiv.1812.00603,
title = {Quantum plateaus in dynamical Hall conductivity},
author = {Zhyrair Gevorkian and Vadim Farztdinov and Yurii Lozovik},
journal= {arXiv preprint arXiv:1812.00603},
year = {2019}
}