论文标题
杂质引起的无尺度定位
Impurity induced scale-free localization
论文作者
论文摘要
这项工作为非重生晶格中的非杂质物理学发展了一个完整的框架，其中PBC，OBC甚至它们的插值是在各种边界杂质强度范围内的特殊情况。随着杂质强度的调整，稳态的定位可以假定非常丰富的行为，包括预期的非铁皮皮肤效应，类似Bloch的状态，尽管转化不变性损坏，并且令人惊讶地沿着非比率的方向沿着无限层次的积累。我们进一步揭示了非铁皮皮肤效应和无尺度定位共存的可能性，在该系统的定性方面对杂质强度可能非常敏感。我们还提出了特定的电路设置，以实验无尺度积累的实验检测，并确认了我们的主要发现。
This work develops a full framework for non-Hermitian impurity physics in a non-reciprocal lattice, with PBCs, OBCs and even their interpolations being special cases across a whole range of boundary impurity strengths. As the impurity strength is tuned, the localization of steady states can assume very rich behavior, including the expected non-Hermitian skin effect, Bloch-like states albeit broken translational invariance, and surprisingly, scale-free accumulation along or even against the direction of non-reciprocity. We further uncover the possibility of the co-existence of non-Hermitian skin effect and scale-free localization, where qualitative aspects of the system's spectrum can be extremely sensitive to impurity strength. We have also proposed specific circuit setups for experimental detection of the scale-free accumulation, with simulation results confirming our main findings.
