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arXiv 2402.12432cond-mat.mes-hallcond-mat.str-el
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Aharonov-Bohm干涉与基于双层石墨烯的分数量子霍尔Fabry-Perot干涉仪中相位跳变的演化

Aharonov-Bohm interference and the evolution of phase jumps in fractional quantum Hall Fabry-Perot interferometers based on bi-layer graphene

Jehyun Kim, Himanshu Dev, Ravi Kumar, Alexey Ilin, André Haug, Vishal Bhardwaj, Changki Hong, Kenji Watanabe, Takashi Taniguchi, Ady Stern, Yuval Ronen

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AI总结：

本研究利用双层石墨烯Fabry-Pérot干涉仪，在$ν$=$1 \over 3$分数量子霍尔态下独立调控磁通量与电荷密度，揭示了准粒子的Aharonov-Bohm干涉规律及准粒子增减导致的相位跳变机制。

摘要：

分数量子霍尔态中的准粒子是携带分数电荷和任意子统计的集体激发。分数电荷影响散粒噪声和充电能等半经典特性，而任意子统计在量子干涉现象中最为显著。在本研究中，我们利用一种多功能的基于双层石墨烯的Fabry-Pérot干涉仪（FPI），该干涉仪促进了整数和分数量子霍尔态下从库仑主导到Aharonov-Bohm的广泛操作谱的研究。聚焦于$ν$=$1 \over 3$分数量子霍尔态，我们研究了当穿过干涉环的磁通量和环内的电荷密度独立变化时准粒子的Aharonov-Bohm干涉。当它们的组合变化使得朗道填充保持$1 \over 3$时，我们观察到周期为三个磁通量子的纯净Aharonov-Bohm振荡，这与三分之一电子电荷的准粒子干涉预期一致。当组合变化导致环中准粒子的增加或移除时，相位跳变出现并改变了相位演化。值得注意的是，在所有情况下，每次向环中增加一个电子时，平均相位始终增加2$π$。

英文摘要：

Quasi-particles in fractional quantum Hall states are collective excitations that carry fractional charge and anyonic statistics. While the fractional charge affects semi-classical characteristics such as shot noise and charging energies, the anyonic statistics is most notable in quantum interference phenomena. In this study, we utilize a versatile bilayer graphene-based Fabry-Pérot Interferometer (FPI) that facilitates the study of a broad spectrum of operating regimes, from Coulomb-dominated to Aharonov-Bohm, for both integer and fractional quantum Hall states. Focusing on the $ν$=$1 \over 3$ fractional quantum Hall state, we study the Aharonov-Bohm interference of quasi-particles when the magnetic flux through an interference loop and the charge density within the loop are independently varied. When their combined variation is such that the Landau filling remains $1 \over 3$ we observe pristine Aharonov-Bohm oscillations with a period of three flux quanta, as is expected from the interference of quasi-particles of one-third of the electron charge. When the combined variation is such that it leads to quasi-particles addition or removal from the loop, phase jumps emerge, and alter the phase evolution. Notably, across all cases, the average phase consistently increases by 2$π$ with each addition of one electron to the loop.

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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