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arXiv 2106.08930cond-mat.mes-hallcond-mat.str-el
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固定相扩散Monte Carlo方法研究带电杂质对$ν=1$体系的激活能隙和Skyrmion激发

Fixed-phase diffusion Monte Carlo study of the activation gap and the skyrmion excitation of $ν=1$ system in the presence of charged impurities

Tongzhou Zhao

摘要:

量子霍尔效应的理论计算值与实验测量值之间的差异一直是一个难题。我们重新审视这个问题的背景下,$ν=1$量子霍尔态,同时也将skyrmion物理。我们发现,有限宽度和朗道能级混合(LLM)的影响是不足以解释所观察到的激活间隙。我们进一步表明,位于量子阱附近的带电杂质的存在下,可以导致显着减少的激活间隙,同时也导致抑制的skyrmion的大小。

英文摘要:

The discrepancy between the theoretically calculated and experimentally measured activation gaps in quantum Hall effect has long been a puzzle. We revisit this issue in the context of the $ν=1$ quantum Hall state, while also incorporating the skyrmion physics. We find that the finite width and the Landau level mixing (LLM) effects are not sufficient to explain the observed activation gap. We further show that the presence of charged impurities located adjacent to the quantum well can cause a significant reduction in the activation gap, while also causing a suppression of the skyrmion size.

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