论文标题
在任意维度中的非阶带理论的变形虫公式
Amoeba Formulation of Non-Bloch Band Theory in Arbitrary Dimensions
论文作者
论文摘要
非铁皮皮肤效应显着重塑了非富甲系统的能量带，这意味着通常的布洛克带理论从根本上是不足的，因为它们的表征是不足的。非BLOCH带理论是布里鲁因区域的概念，已广泛应用于在一个空间维度中研究非热系统。但是，它对更高维度的概括一直具有挑战性。在这里，我们在任意空间维度中开发了非富甲皮肤效应和非蓝杆菌理论的表述，该尺寸基于称为变形虫的天然几何对象。我们的理论提供了一个一般框架，用于研究超出一个维度的非热带乐队。可以从这种方法有效地获得非热条带的关键数量，包括能量光谱，特征状态概况和广义的布里鲁因区。
The non-Hermitian skin effect dramatically reshapes the energy bands of non-Hermitian systems, meaning that the usual Bloch band theory is fundamentally inadequate as their characterization. The non-Bloch band theory, in which the concept of Brillouin zone is generalized, has been widely applied to investigate non-Hermitian systems in one spatial dimension. However, its generalization to higher dimensions has been challenging. Here, we develop a formulation of the non-Hermitian skin effect and non-Bloch band theory in arbitrary spatial dimensions, which is based on a natural geometrical object known as the amoeba. Our theory provides a general framework for studying non-Hermitian bands beyond one dimension. Key quantities of non-Hermitian bands, including the energy spectrum, eigenstates profiles, and the generalized Brillouin zone, can be efficiently obtained from this approach.
