Hall and dissipative viscosity effects on edge magnetoplasmons

TL;DR

This paper investigates how hydrodynamic and Hall viscosity influence the dispersion of edge magnetoplasmons in 2D electronic systems, revealing that edge modes are particularly sensitive to viscosity effects, aiding their measurement.

Contribution

It provides a new analytical solution for edge magnetoplasmon dispersion considering viscosity effects, including long-range Coulomb interactions, using an extended Wiener-Hopf technique.

Findings

Viscosity affects edge magnetoplasmon dispersion at leading order in wavevector.

Edge modes are more sensitive to viscosity effects than bulk modes.

The study offers a method to measure Hall viscosity via edge mode dispersion.

Abstract

Hydrodynamic and viscous effects in electronic liquids are at the focus of much current research. Most intriguing is perhaps the non-dissipative Hall viscosity, which, due to its symmetry-protected topological nature, can help identify complex topological orders. In this work we study the effects of viscosity in general, and Hall viscosity in particular, on the dispersion relation of edge magnetoplasmons in 2D electronic systems. Using an extension of the standard Wiener-Hopf technique we derive a general solution to the problem, accounting for the long-range Coulomb potential. Among other features we find that on the edge viscosity affects the dispersion already to leading order in the wavevector, making edge modes better suited for its measurement as compared to their bulk counterparts.