Hall current distributions in quantum Hall effect on finite cylinder surface
Hall current distributions in quantum Hall effect on finite cylinder surface
复制标题
有限圆柱表面量子霍尔效应中的霍尔电流分布
DOI：
10.1143/jpsj.58.2482
复制
发表时间：
1989
影响因子：
1.7
通讯作者：
Y. Ono
中科院分区：
文献类型：
--
作者：
T. Ohtsuki;Y. Ono
利用线性响应理论，数值计算了有限宽区域内二维非相互作用电子系统的量子霍尔区的霍尔电流分布。在低填充因子区域，局域态周围的局域电流密度增强。这样的电流密度比无杂质情况下的电流密度强得多，尽管通过对系统上的电流密度进行积分而获得的霍尔电导率比无杂质情况下的霍尔电导率小得多。随着填充因子的增加，局部增强扩展到整个系统。然而，当费米能级处于体带隙中时，电流几乎以与无杂质情况相同的方式均匀流动，即，在边缘状态区域中。这表明霍尔电流的强空间波动得到了局部补偿。
Using the linear response theory, the Hall current distributions in the quantum Hall regime are calculated numerically for two dimensional systems of non- interacting 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 density is 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 smaller than that in the impurity-free case. With the increase of the filling factor, the local enhancement spreads over the whole system. The current, however, flows uniformly almost in the same way as in the impurity-free case, when the Fermi level is in the bulk band gap, i.e., in the edge state region. It shows that the strong spatial fluctuations of the Hall current are locally compensated.