Hall Current Distributions in Quatum Hall Effect on Finite Cylinder Surface

概要

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Using the linear response theory, the Hall current distributions in the quantumHall regime are calculated numerically for two dimensional systems of non- interac-ting electrons, confined to an area of a finite width. At the low filling factor region,the local current density is enhanced around the localized states. Such current densityis much stronger than that in the impurity-free case, although the Hall conductivity,which is obtained by integrating the current density over the system, is much smallerthan that in the impurity-free case. With the increase of the filling factor, the localenhancement spreads over the whole system. The current, however, flows uniformlyalmost in the same way as in the impurity-free case, when the Fermi level is in the bulkband gap, i.e., in the edge state region. It shows that the strong spatial fluctuations ofthe Hall current are locally compensated.
社団法人日本物理学会の論文
1989-07-15