Aharonov-Bohm干涉探测手性Andreev边缘态：基于扫描门显微镜

中文摘要 AI 辅助

我们理论上研究了在量子霍尔-超导体界面处，通过扫描门显微镜探测的手性Andreev边缘态的空间响应。利用Bogoliubov-de Gennes形式，我们证明了扫描门针尖的局域势将手性Andreev边缘态与超导体解耦，形成独立的电子和空穴路径。在$\ u=2$区域，这种局部分离迫使准粒子在正常区域积累相对磁相位，导致Aharonov-Bohm型电导振荡，该振荡由几何解析模型捕获。在更高的填充因子（如$\ u=4$）下，针尖逐渐与空间上不同的边缘通道相互作用，动态改变Andreev诱导的模式混合并调制输运共振。此外，我们表明这些高度局域的干涉特征在存在无序时仍然存活，即使传统的非局域输运振荡被掩盖。

英文摘要

We theoretically investigate the spatial response of chiral Andreev edge states at a quantum Hall-superconductor interface probed by scanning gate microscopy. Using the Bogoliubov-de Gennes formalism, we demonstrate that the localized potential of the scanning gate tip decouples the chiral Andreev edge states from the superconductor into independent electron and hole paths. In the $ν=2$ regime, this local separation forces the quasiparticles to accumulate a relative magnetic phase in the normal region, resulting in Aharonov-Bohm-type conductance oscillations that are captured by a geometric analytical model. At higher filling factors (e.g., $ν=4$), the tip progressively interacts with spatially distinct edge channels, dynamically altering the Andreev-induced mode mixing and modifying the transport resonances. Furthermore, we show that these highly localized interferometric signatures survive in the presence of disorder, even when conventional non-local transport oscillations are masked.

发表机构

• AGH University of Krakow（克拉科夫AGH科技大学）

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