任意维度非布洛克带理论的阿米巴公式

IF 11.6 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Physical Review X Pub Date : 2024-04-16 DOI:10.1103/physrevx.14.021011
Hong-Yi Wang, Fei Song, Zhong Wang
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引用次数: 0

摘要

非ermitian趋肤效应极大地重塑了非ermitian系统的能带,这意味着通常的布洛赫能带理论根本不足以描述它们。非布洛赫能带理论是对布里渊区概念的概括,已被广泛应用于研究一维空间的非ermitian 系统。然而,将其推广到更高维度一直是个挑战。在这里,我们基于一个名为变形虫的自然几何物体,提出了任意空间维度的非ermitian趋肤效应和非布洛赫带理论。我们的理论为研究一维之外的非ermitian 带提供了一个通用框架。非赫米带的关键量,包括能谱、特征态剖面和广义布里渊区,都可以通过这种方法有效地获得。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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Amoeba Formulation of Non-Bloch Band Theory in Arbitrary Dimensions
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.
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来源期刊
Physical Review X
Physical Review X PHYSICS, MULTIDISCIPLINARY-
CiteScore
24.60
自引率
1.60%
发文量
197
审稿时长
3 months
期刊介绍: Physical Review X (PRX) stands as an exclusively online, fully open-access journal, emphasizing innovation, quality, and enduring impact in the scientific content it disseminates. Devoted to showcasing a curated selection of papers from pure, applied, and interdisciplinary physics, PRX aims to feature work with the potential to shape current and future research while leaving a lasting and profound impact in their respective fields. Encompassing the entire spectrum of physics subject areas, PRX places a special focus on groundbreaking interdisciplinary research with broad-reaching influence.
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