The current polarization rectification of the integer quantized Hall effect

TL;DR

This paper presents a theoretical study on how large currents affect the widths of quantized Hall plateaus in the integer quantum Hall effect, revealing current-induced asymmetry in the system's electronic structure.

Contribution

It introduces a model that predicts how large currents cause asymmetry in the Hall plateau widths by solving the Schrödinger equation with nonlinear screening theory.

Findings

Large currents induce linear asymmetry in the incompressible strip widths.

The quantized Hall resistance remains stable within certain magnetic field intervals.

Longitudinal resistance vanishes in the quantized regions.

Abstract

We report on our theoretical investigation considering the widths of quantized Hall plateaus (QHPs) depending on the density asymmetry induced by the large current within the out-of-linear response regime. We solve the Schrodinger equation within the Hartree type mean field approximation using Thomas Fermi Poisson nonlinear screening theory. We observe that the two dimensional electron system splits into compressible and incompressible regions for certain magnetic field intervals, where the Hall resistance is quantized and the longitudinal resistance vanishes, if an external current is imposed. We found that the strong current imposed, induces an asymmetry on the IS width depending linearly on the current intensity.