The effect of sample properties on the electron velocity in quantum Hall bars

TL;DR

This paper investigates how the confining potential profile and sample size influence electron velocity distribution in quantum Hall systems, using nonlinear screening theory and comparing results with recent experiments.

Contribution

It provides a theoretical analysis of the impact of sample properties on electron velocities in quantum Hall bars, incorporating nonlinear screening effects.

Findings

Electron velocity varies with the lateral coordinate and sample properties.

Theoretical results align with recent experimental observations.

Confining potential profile significantly affects electron velocity distribution.

Abstract

We report on our theoretical investigation of the effects of the confining potential profile and sample size on the electron velocity distribution in (narrow) quantum-Hall systems. The electrostatic properties of the electron system are obtained by the Thomas-Fermi-Poisson nonlinear screening theory. The electron velocity distribution as a function of the lateral coordinate is obtained from the slope of the screened potential at the Fermi level and within the incompressible strips (ISs). We compare our findings with the recent experiments.