Radiation induced oscillations of the Hall resistivity in two-dimensional electron systems

TL;DR

This paper investigates how microwave radiation influences the Hall resistivity in two-dimensional electron systems, revealing oscillatory behaviors and radiation-induced components that align with recent experimental findings.

Contribution

It introduces a model showing photon-assisted impurity scattering causes oscillations in Hall resistivity and explains radiation-induced Hall effects in 2D electron systems.

Findings

Radiation causes oscillations in Hall and dissipative resistivities.

A radiation-induced component of Hall resistivity is identified.

The model aligns with recent experimental observations.

Abstract

We consider the effect of microwave radiation on the Hall resistivity in two-dimension electron systems. It is shown that the photon-assisted impurity scattering of electrons can result in oscillatory dependences of both dissipative and Hall components of the conductivity and resistivity tensors on the ratio of radiation frequency to cyclotron frequency. The Hall resistivity can include a component induced by microwave radiation which is an even function of the magnetic field. The phase of the dissipative resistivity oscillations and the polarization dependence of their amplitude are compared with those of the Hall resistivity oscillations. The developed model can clarify the results of recent experimental observations of the radiation induced Hall effect.