Dynamics of Dissipative Quantum Hall Edges

TL;DR

This paper investigates how edge electron density profiles and dissipation affect edge magnetoplasmons in the quantum Hall regime, revealing dissipation causes notable oscillations in their properties.

Contribution

It introduces a semiclassical approach to analyze the impact of dissipation and density profiles on edge magnetoplasmons, highlighting dissipation's significant effects.

Findings

Edge density profiles have minimal impact on magnetoplasmons.

Dissipation causes oscillations in magnetoplasmon strength and speed.

Incompressible stripes do not significantly affect edge magnetoplasmons.

Abstract

We examine the influence of the edge electronic density profile and of dissipation on edge magnetoplasmons in the quantum Hall regime, in a semiclassical calculation. The equilibrium electron density on the edge, obtained using a Thomas-Fermi approach, has incompressible stripes produced by energy gaps responsible for the quantum Hall effect. We find that these stripes have an unobservably small effect on the edge magnetoplasmons. But dissipation, included phenomenologically in the local conductivity, proves to produce significant oscillations in the strength and speed of edge magnetoplasmons in the quantum Hall regime.