Novel Edge Excitations of Two-dimensional Electron Liquid in a Magnetic Field

TL;DR

This paper explores new edge excitation modes in a two-dimensional electron liquid under strong magnetic fields, revealing additional acoustic branches beyond known magnetoplasmons and analyzing their velocities and observability.

Contribution

It introduces new acoustic excitation branches at the edge of a 2D electron liquid in magnetic fields, expanding understanding of edge dynamics.

Findings

Discovered new acoustic excitation modes at the edge

Calculated velocities of these new modes

Established conditions for their observability

Abstract

We investigate the low-energy spectrum of excitations of a compressible electron liquid in a strong magnetic field. These excitations are localized at the periphery of the system. The analysis of a realistic model of a smooth edge yields new branches of acoustic excitation spectrum in addition to the well known edge magnetoplasmon mode. The velocities are found and the observability conditions are established for the new modes.