# Quantum plateaus in dynamical Hall conductivity

## TL;DR

This paper investigates the dynamical Hall conductivity of a 2D electron gas with impurities, revealing plateau-like features at various frequencies and oscillations in localized states, supported by experimental comparison.

## Contribution

It provides a theoretical analysis of dynamical Hall conductivity showing frequency-dependent plateaus and oscillations, extending understanding of quantum Hall effects in disordered systems.

## Key findings

- Plateau-like behavior at low and high frequencies with Landau level filling.
- Oscillations in the imaginary part of conductivity in localized states.
- Comparison confirms theoretical predictions with experimental data.

## Abstract

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.