Edge magnetoplasmons in periodically modulated structures

TL;DR

This paper provides a microscopic analysis of edge magnetoplasmons in quantum Hall systems with periodic potential modulation, revealing a new gapless mode and detailing how modulation affects EMP dispersion and structure.

Contribution

It introduces a microscopic treatment of EMPs under periodic modulation, discovering a novel gapless mode and analyzing its properties.

Findings

Modulation alters EMP dispersion relations.

A new gapless EMP mode appears due to periodic potential.

The phase velocity of the new mode depends on modulation strength.

Abstract

We present a microscopic treatment of edge magnetoplasmons (EMP's) within the random-phase approximation for strong magnetic fields, low temperatures, and filling factor $\nu =1(2)$, when a weak short-period superlattice potential is imposed along the Hall bar. The modulation potential modifies both the spatial structure and the dispersion relation of the fundamental EMP and leads to the appearance of a novel gapless mode of the fundamental EMP. For sufficiently weak modulation strengths the phase velocity of this novel mode is almost the same as the group velocity of the edge states but it should be quite smaller for stronger modulation. We discuss in detail the spatial structure of the charge density of the renormalized and the novel fundamental EMP's.