论文标题
非热系统的拓扑领域理论
Topological Field Theory of Non-Hermitian Systems
论文作者
论文摘要
非热性产生了独特的拓扑阶段，而没有遗传类似物。但是，有效的现场理论尚未建立。在这里，我们开发了固有的非休假拓扑阶段的现场理论描述。由于非热性的耗散性和非质量性质，我们的理论仅根据空间自由度而提出，这与时空定义的常规理论形成了鲜明对比。它提供了人们对非铁质拓扑现象的普遍理解，例如在一个维度上的单向运输和三个维度的手性磁皮效应。此外，它系统地预测了新物理。我们通过在垂直的空间纹理引起的二维中揭示运输现象和皮肤效应来说明这一点。从现场理论的角度来看，由于非热性而导致的非质性皮肤效应是异常的定位，被证明是异常的签名。
Non-Hermiticity gives rise to unique topological phases without Hermitian analogs. However, the effective field theory has yet to be established. Here, we develop a field-theoretical description of the intrinsic non-Hermitian topological phases. Because of the dissipative and nonequilibrium nature of non-Hermiticity, our theory is formulated solely in terms of spatial degrees of freedom, which contrasts with the conventional theory defined in spacetime. It provides the universal understanding about non-Hermitian topological phenomena, such as the unidirectional transport in one dimension and the chiral magnetic skin effect in three dimensions. Furthermore, it systematically predicts new physics; we illustrate this by revealing transport phenomena and skin effects in two dimensions induced by a perpendicular spatial texture. From the field-theoretical perspective, the non-Hermitian skin effect, which is anomalous localization due to non-Hermiticity, is shown to be a signature of an anomaly.
