论文标题
在存在短距离合金电位的情况下，均匀扩展的均匀分数量子厅状态
Disorder broadening of even denominator fractional quantum Hall states in the presence of a short-range alloy potential
论文作者
论文摘要
我们研究$ν= 7/2 $和$ν= 5/2 $的能量差距，其中一系列含有合金障碍的二维电子气体中的分数量子厅状态。我们发现，这两个填充因子的间隙与合金障碍具有相同的抑制率。从Morf和D'Ambrumenil提出的模型获得的合金样品中的无尺度固有间隙与数值结果一致，但比从文献中发表的原始样品实验获得的基本差异要大。该疾病扩展参数具有很大的不确定性。但是，依靠共享内在差距的修改分析为$ν= 5/2 $和$ 7/2 $分数量子霍尔的状态都产生一致的结果，并建立了疾病扩大参数和合金浓度之间的线性关系。此外，我们发现我们可以将远距离散射和短期散射的疾病扩大而分开贡献。
We study energy gaps of the $ν=7/2$ and $ν=5/2$ fractional quantum Hall states in a series of two-dimensional electron gases containing alloy disorder. We found that gaps at these two filling factors have the same suppression rate with alloy disorder. The dimensionless intrinsic gaps in our alloy samples obtained from the model proposed by Morf and d'Ambrumenil are consistent with numerical results, but are larger than those obtained from experiments on pristine samples published in the literature. The disorder broadening parameter has large uncertainties. However, a modified analysis relying on shared intrinsic gaps yields consistent results for both the $ν=5/2$ and $7/2$ fractional quantum Hall states and establishes a linear relationship between the disorder broadening parameter and alloy concentration. Furthermore, we find that we can separate contributions to the disorder broadening of the long-range and short-range scattering.
