AI 中文总结
该研究揭示了互易手性介质中电偶极子链的非厄米皮肤效应,分析了其模式特征与频谱特性,为非厄米系统的相关研究提供了新的机制。
AI 中文摘要
我们发现,通过无源互易手性介质的长程辐射耦合会在电偶极子链中产生一种特殊的非厄米皮肤效应。尽管该系统是互易的,但手性会产生依赖于极化的相位积累和衰减,导致在相反边界处局域的简并皮肤模式对。我们发现皮肤模式的分布由来自孤立复β极点的指数贡献和与1/[n(ln n)²]成比例的长程尾组成,其中n是以晶格位点为单位测量的距占据边界的距离。有限链计算表明,开放边界条件(OBC)频谱的一部分向布洛赫(Bloch)频谱收缩,而边界局域模式的数量仍保持大量。
英文摘要
We find that long-range radiative coupling through a passive reciprocal chiral medium produces an unusual non-Hermitian skin effect in a chain of electric dipoles. Although the system is reciprocal, the chirality generates polarization-dependent phase accumulation and attenuation, leading to degenerate pairs of skin modes localized at opposite boundaries. We find that the skin mode profile consists of an exponential contribution from an isolated complex-$β$ pole and a longer-range tail proportional to $1/[n(\ln n)^2]$, where $n$ is the distance from the occupied boundary measured in lattice sites. Finite-chain calculations show that part of the OBC spectrum contracts toward the Bloch spectrum, whereas the number of boundary-localized modes remains extensive.
Comments6 pages, 5 figures