ELECTROSTATICS OF EDGE CHANNELS
ELECTROSTATICS OF EDGE CHANNELS
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DOI：
10.1103/physrevb.46.4026
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发表时间：
1992-08-15
影响因子：
3.7
通讯作者：
GLAZMAN, LI
中科院分区：
文献类型：
--
作者：
CHKLOVSKII, DB;SHKLOVSKII, BI;GLAZMAN, LI
本文提出了一个量子霍尔机制下二维电子气（2DEG）的门致禁闭的定量静电理论。自洽的静电势在由2DEG占据的区域中以阶梯状的方式变化，由于可压缩和不可压缩的电子液体的交替条带的形成。我们得到的位置和宽度的依赖这些带的填充因子。不可压缩的条带被示出为比可压缩的条带窄得多。相邻的可压缩和不可压缩条的宽度之间的关系被发现是普遍的：它不依赖于条数，磁场，或栅极电压。我们的理论使我们能够解释在边缘状态平衡的实验研究中获得的结果。
We propose a quantitative electrostatic theory of the gate-induced confinement of two-dimensional electron gas (2DEG) in the quantum Hall regime. The self-consistent electrostatic potential in the region occupied by 2DEG changes in a steplike manner due to the formation of alternating strips of compressible and incompressible electron liquids. We obtain the dependence of positions and widths of these strips on the filling factor. Incompressible strips are shown to be much more narrow than the compressible ones. The relationship between the widths of the adjacent compressible and incompressible strips is found to be universal: It does not depend on the strip number, magnetic field, or gate voltage. Our theory enables us to explain results obtained in experimental studies of edge-state equilibration.