International Center for Quantum Materials, Peking University, Beijing, 100871, China.
Department of Electrical Engineering, Princeton University, Princeton, NJ, 08544, USA.
Nat Commun. 2023 Mar 30;14(1):1758. doi: 10.1038/s41467-023-37495-9.
Quantum information can be coded by the topologically protected edges of fractional quantum Hall (FQH) states. Investigation on FQH edges in the hope of searching and utilizing non-Abelian statistics has been a focused challenge for years. Manipulating the edges, e.g. to bring edges close to each other or to separate edges spatially, is a common and essential step for such studies. The FQH edge structures in a confined region are typically presupposed to be the same as that in the open region in analysis of experimental results, but whether they remain unchanged with extra confinement is obscure. In this work, we present a series of unexpected plateaus in a confined single-layer two-dimensional electron gas (2DEG), which are quantized at anomalous fractions such as 9/4, 17/11, 16/13 and the reported 3/2. We explain all the plateaus by assuming surprisingly larger filling factors in the confined region. Our findings enrich the understanding of edge states in the confined region and in the applications of gate manipulation, which is crucial for the experiments with quantum point contact and interferometer.
量子信息可以通过分数量子霍尔(FQH)态的拓扑保护边缘进行编码。多年来,人们一直致力于研究 FQH 边缘,以期寻找和利用非阿贝尔统计。操纵边缘,例如使边缘相互靠近或在空间上分离边缘,是此类研究的常见且基本的步骤。在分析实验结果时,通常假设受限区域中的 FQH 边缘结构与开放区域中的相同,但不清楚它们在额外限制下是否保持不变。在这项工作中,我们在受限的单层二维电子气(2DEG)中发现了一系列意想不到的平台,这些平台在异常分数处被量子化,如 9/4、17/11、16/13 和已报道的 3/2。我们通过假设在受限区域中存在令人惊讶的更大填充因子来解释所有的平台。我们的发现丰富了对受限区域和栅极操纵应用中边缘态的理解,这对于具有量子点接触和干涉仪的实验至关重要。