Magnetoplasmons de borda em sistemas bidimensionais: estudo do Helicon de Borda

Abstract

In this work we will make a theoretical investigation over some general properties of edge magnetoplasmos (EMP) - collective quiral excitations which propagates at the edges of a bidimensional solid state plasma (often called bidimensional electronic system- 2DES) under the quantum Hall regime (QHR) with lling factor of = 1(2),with very strong dissipation in the edges, where the Landau levels (LL) intercept the Fermi levels (FL). We will take into account only homogenuous samples, that means, without a consideration of a gate nor an air substrate over the heterostructure; pointed out that the EMP behaviour, especially the wave quality, has a strong dependence on the gate. EMP s were rst reported in the 80 s, and have attracted much attention in the past decade with advent of some new nano-2DES, new experimental methods - as the time- resolved experiments, and nano electronic aplications. Adopting a microscopic model, we could con rm recent works (2010), and we con rmed that even in the strong dissipation regime, here considered, there is still a mode that persists, an edge helicon (EH), with excelent quality - when all other modes are very damped. We also nd new interesting properties of this EH, in fact, we can show that the "window of transparency" of this EH is 10 times bigger then the value so far known from the scienti c literature, its spatial structure was also here accquired with better precision; and it exibits a more smooth behavior if compared to recent articles.