Edge magnetoplasmons in periodically modulated structures

Details Edge magnetoplasmons in periodically modulated structures Edge magnetoplasmons in periodically modulated structures

1999-11-05

arxiv.org/abs/cond-mat/9911087v1

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 4 figures

Scientific paper

10.1103/PhysRevB.62.15834

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.

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