arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0802.0915cond-mat.mes-hall
收藏

欧姆电流在量子点接触附近的分布

Distribution of an Ohmic current in the close vicinity of a quantum point contact

A. Siddiki

摘要:

给出了考虑量子点接触(QPC)的整数量子霍尔效应(IQHE)屏蔽理论的基本结果。我们的方法是解决泊松方程和薛定谔方程自洽,考虑电子相互作用,在Hartree型近似的二维电子气(2DEG)受到高垂直磁场。电子之间的库仑相互作用将2DEG分成两个共存的区域,即准金属可压缩区域和准绝缘不可压缩区域,它们表现出独特的屏蔽和输运性质。在存在外部电流的情况下,我们表明,该电流被限制在不可压缩的区域,其中的漂移速度是有限的。特别是,我们调查这些不可压缩带的分布和它们的关系与量子霍尔坪考虑准一维收缩,即QPC。

英文摘要:

We present the essential findings of the screening theory of the integer quantum Hall effect (IQHE) considering a quantum point contact (QPC). Our approach is to solve the Poisson and the Schroedinger equations self-consistently, taking into account electron interactions, within a Hartree type approximation for a two dimensional electron gas (2DEG) subject to high perpendicular magnetic fields. The Coulomb interaction between the electrons separates 2DEG into two co-existing regions, namely quasi-metallic compressible and quasi-insulating incompressible regions, which exhibit peculiar screening and transport properties. In the presence of an external current, we show that this current is confined into the incompressible regions where the drift velocity is finite. In particular, we investigate the distribution of these incompressible strips and their relation with the quantum Hall plateaus considering a quasi 1D constriction, i.e. a QPC.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑