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arXiv 1202.6312cond-mat.mes-hall
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基于屏蔽理论的量子霍尔准粒子干涉仪的量子点建模

Screening theory based modeling of the quantum Hall based quasi-particle interferometers defined at quantum-dots

A. Salman, E. Koymen, M. B. Yucel, H. Atci, U. Erkarslan, A. Siddiki

摘要:

在这项工作中,我们调查的空间分布和宽度的不可压缩带,即边态。在强垂直磁场存在下,考察了填充因子分别为ν= 1,2和1/3时的不可压缩带.我们提出了一个微观图片的分数量子霍尔效应为基础的干涉仪,在一个唯象模型。我们采用Laughlin准粒子性质在我们的计算方案。在分数阶区,部分占据的最低朗道能级由于强关联而被假定形成一个能隙。实质上,通过把这个能隙包括到我们的能谱中,我们得到了在ν=1/3时不可压缩带的性质。的干扰条件进行了调查作为一个功能的栅电压和陡度的限制电位,连同所施加的磁场的强度。

英文摘要:

In this work, we investigate the spatial distributions and the widths of the incompressible strips, i.e. the edgestates. The incompressible strips that correspond to ν=1,2 and 1/3 filling factors are examined in the presence of a strong perpendicular magnetic field. We present a microscopic picture of the fractional quantum Hall effect based interferometers, within a phenomenological model. We adopt Laughlin quasi-particle properties in our calculation scheme. In the fractional regime, the partially occupied lowest Landau level is assumed to form an energy gap due to strong correlations. Essentially by including this energy gap to our energy spectrum, we obtain the properties of the incompressible strips at ν=1/3. The interference conditions are investigated as a function of the gate voltage and steepness of the confinement potential, together with the strength of the applied magnetic field.

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。

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