Hall and dissipative viscosity effects on edge magnetoplasmons

Hydrodynamic and viscous effects in electronic liquids are at the focus of much current research. Most intriguing is perhaps the nondissipative 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 two-dimensional 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 wave vector, making edge modes better suited for its measurement compared to their bulk counterparts.