Magnetoplasmons de borda em sistemas eletrônicos quaseunidimensionais o Regime Hall Quântico Inteiro em temperaturas nãomuito-baixas

Abstract

In this work we will investigate the space structure and the dispersion relations of the collective excitations chiral of low frequency that propagate along the edges of a gas of electrons quasi-one-dimensional (GEQ1D) or quantum wire (CF), subject to an intensive field magnetic normal B, known as magnetoplasmons edge (MPB s). Such MPB s, which properties are implicitly connected to the interaction electron-electron of the states of edge, there are investigated inside the Regime Quantum Hall (RHQI) in the lowest level of Landau, n = 0, in samples of heteroestruturas semidrivers based on GaAs, on temperatures not low-greatly, ~ωc À kB T À ~v(e) gn /2􀁣0. Besides, so that the basic paper of the interaction electron-electron can be observed, the use of a gate (a layer of air) to a distance d of the electronic channel is made necessary, in what there must be clear the observation of an armor-plating (strengthening) of the interaction electron-electron. It is possible to say, in the abridged form, which this study bases on a combination of the equations of the density of current linearizada, Poisson and continuity, in such a way that the equations that govern the collective behaviour of the electrons in a narrow electronic channel can be described in the RHQI. In this case, the choice of the profile of density of load (for temperatures not low-great) is shown of basic importance, permetindo analytical getting the resistividades Hall associated to the density of current. So, as soon as the RHQI was maintained for n = 0, we can determine the equations that describe so much the specter of frequency as for space structure of the MPB s. In this form, such a study also complements previous studies as to the MPB s, in individual, when this one spreads the investicações out on the MPB s obtained in extensive electronic channels (Balev et al., 2000 and of that Silva, 2004) for narrow electronic channels. Finally, such equations are computed numerically through programs (developed in FORTRAN and MAPLE) and analysed by graphic way.