Anomalous Hall effect in paramagnetic two dimensional systems

TL;DR

This paper explores the conditions under which the anomalous Hall effect can be observed in two-dimensional paramagnetic systems, using semiclassical and Berry phase calculations, revealing potential quantized conductance contributions.

Contribution

It introduces a theoretical framework for predicting the anomalous Hall effect in 2D paramagnetic systems with magnetic impurities, highlighting conditions for quantized conductivity.

Findings

Anomalous Hall conductivity can approach half of the conductance quantum.

External magnetic fields below a certain threshold do not alter the predicted effect.

The semiclassical approach with Berry phase corrections effectively models the phenomenon.

Abstract

We investigate the possibility of observing the anomalous Hall effect (AHE) in two dimensional paramagnetic systems. We apply the semiclassical equations of motion to carriers in the conduction and valence bands of wurtzite and zincblende quantum wells in the exchange field generated by magnetic impurities and we calculate the anomalous Hall conductivity based on the Berry phase corrections to the carrier velocity. We show that under certain circumstances this conductivity approaches one half of the conductance quantum. We consider the effect of an external magnetic field and show that for a small enough field the theory is unaltered.