论文标题
非热定位的非单身缩放理论
Nonunitary Scaling Theory of Non-Hermitian Localization
论文作者
论文摘要
非热性可能会破坏安德森的本地化，并在一个维度上导致定位。但是，尚未建立对非官员离域化的统一理解。在这里，我们开发了在非省系统中的定位理论。我们揭示了非热性引入了新的尺度并分解单参数缩放，这是常规定位理论的核心假设。取而代之的是，我们将非常规非居住地定位的起源确定为两参数缩放。此外，我们建立了基于互惠的非富列本地化的三重普遍性。互惠禁止在没有内部自由度的情况下定位，而同成绩互惠会导致一种新型的对称对称性保护的离域化。
Non-Hermiticity can destroy Anderson localization and lead to delocalization even in one dimension. However, the unified understanding of the non-Hermitian delocalization has yet to be established. Here, we develop a scaling theory of localization in non-Hermitian systems. We reveal that non-Hermiticity introduces a new scale and breaks down the one-parameter scaling, which is the central assumption of the conventional scaling theory of localization. Instead, we identify the origin of the unconventional non-Hermitian delocalization as the two-parameter scaling. Furthermore, we establish the threefold universality of non-Hermitian localization based on reciprocity; reciprocity forbids the delocalization without internal degrees of freedom, whereas symplectic reciprocity results in a new type of symmetry-protected delocalization.
