短程合金势下偶分母分数量子霍尔态的无序展宽
Disorder broadening of even denominator fractional quantum Hall states in the presence of a short-range alloy potential
摘要：
研究了一系列二维合金无序电子气中$ν=7/2$和$ν=5/2$分数量子霍尔态的能隙。我们发现，在这两个填充因子的差距有相同的抑制率与合金无序。从Morf和d'Ambrumenil提出的模型中获得的合金样品中的无量纲本征间隙与数值结果一致，但大于文献中发表的原始样品实验中获得的间隙。无序加宽参数具有较大的不确定性。然而，修改后的分析依赖于共享的本征间隙产生一致的结果为$ν=5/2$和$7/2$分数量子霍尔态，并建立了无序加宽参数和合金浓度之间的线性关系。此外，我们发现，我们可以分开的远程和短程散射的无序加宽的贡献。
英文摘要：
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.
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