AI 中文总结
研究相互作用驱动的量子输运，以演化路径对称性及其相互作用诱导破缺为框架，解释了磁通晶格中相互作用诱导的离域化及手征输运，将 EPS 作为理解相关输运现象的有力工具。
AI 中文摘要
相互作用导致的阿哈罗诺夫 - 玻姆（AB）囚禁的破坏以及磁通晶格中相互作用诱导的手征电流的出现是相互作用驱动量子输运的两个典型例子。虽然已提出多种机制，但统一的物理图像仍难以捉摸。本文采用演化路径对称性（EPS）及其相互作用诱导的破缺作为框架来理解磁通晶格中相互作用诱导的离域化。EPS 定义为路径贡献在几何和相位变换组合下的不变性。我们证明在 π 磁通菱形晶格中，相互作用通过修改多体路径的相位积累打破了非相互作用极限下的 EPS，从而消除了导致 AB 囚禁的相消干涉。此外，我们应用此框架解释磁通梯中的相互作用诱导手征输运，其中相互作用打破对称路径之间的相位关系，导致手征电流非零。我们的工作将 EPS 确立为理解超越传统本征态分析的输运现象的有力工具。
英文摘要
The destruction of Aharonov-Bohm (AB) caging by interaction and the emergence of interaction-induced chiral currents in flux lattices are two paradigmatic examples of interaction-driven quantum transport. While various mechanisms, such as bound-state formation and chiral spectral imbalance, have been proposed, a unifying physical picture remains elusive. Here, we employ the concept of \textit{evolution-path symmetry} (EPS) and its interaction-induced breaking as a framework to understand interaction-induced delocalization in flux lattices. EPS is defined as the invariance of a path's contribution under combined geometric and phase transformations. We demonstrate that in a $π$-flux rhombic lattice, interactions break the EPS present in the non-interacting limit by modifying the phase accumulation of many-body paths, thereby lifting the destructive interference responsible for AB caging. Furthermore, we apply this framework to explain interaction-induced chiral transport in flux ladders, where interactions break the phase relationship between symmetric paths, leading to a non-vanishing chiral current. Our work establishes EPS as a powerful tool for understanding transport phenomena beyond conventional eigenstate analysis.
Comments12 pages, 5 figures, to appear in Physical Review A
