发表机构
Heinrich-Heine-Universität; Università della Calabria; RWTH Aachen University（海因里希·海涅大学; 卡塔尼亚大学; 亚琛工业大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该理论研究了共传播马约拉纳干涉仪中边缘涡旋的非阿贝尔统计，通过玻色化推广到不对称配置，发现低频有效电容携带拓扑自旋特征，且热长度决定输运可见性。
AI 中文摘要
共传播手性马约拉纳边缘模被预测存在于邻近耦合的量子反常霍尔系统中。它们将边缘涡旋作为飞行非阿贝尔伊辛任意子的令人兴奋的前景，与通过任意子融合过程实现的全电学探测相结合。在此设置中，电输运源于一对马约拉纳边缘态的干涉。通过将模型玻色化并附加一个副本扇区，我们将先前的处理推广到完全不对称的配置。我们分析了马赫-曾德尔干涉仪，并表明虽然直流电导不显示边缘涡旋干涉的特征，但在低频下，这种干涉表现为有效电容。该量对边缘涡旋的非阿贝尔任意子统计敏感，尤其携带其拓扑自旋和非平凡共形维数的特征。我们证明了热长度 $l_T = \hbar v/(\pi k_B T)$ 在低温 $T$ 下是相关尺度，类似于具有速度 $v$ 的常规量子霍尔边缘态中的准粒子输运。只要干涉仪臂长在此长度尺度内匹配，边缘涡旋非阿贝尔统计的输运特征就保持可见。
英文摘要
Co-propagating chiral Majorana edge modes are predicted to exist in proximity-coupled quantum anomalous Hall systems. They combine the exciting prospects of edge vortices as flying non-Abelian Ising anyons, with their fully electrical detection through anyon fusion processes. In this setup, electrical transport arises from the interference of a pair of Majorana edge states. By bosonizing the model with an additional replica sector, we generalize previous treatments to fully asymmetric configurations. We analyze a Mach-Zehnder interferometer and show that while the DC conductance does not exhibit signatures of edge-vortex interference, at low frequencies, this interference manifests as an effective capacitance. This quantity is sensitive to the non-Abelian anyon statistics of edge vortices and, in particular, carries signatures of their topological spin and nontrivial conformal dimension. We demonstrate that the thermal length $l_T = \hbar v/(πk_B T)$ is the relevant scale at low temperatures $T$, analogous to quasiparticle transport in conventional quantum Hall edge states with velocity $v$. As long as the interferometer arm lengths match within this length scale, transport signatures of the non-Abelian statistics of edge vortices remain visible.
Comments12 pages, 5 figures
