一维宇称-时间对称无序系统中复能下的安德森转变
Anderson transition at complex energies in one-dimensional parity-time-symmetric disordered systems
AI总结：
本研究发现一维宇称-时间对称无序系统中存在复能安德森局域模式，其产生与无杂质非厄米系统的态密度及非布洛赫宇称-时间转变相关，且该模式与扩展、实能局域模式共存，丰富了无序介质性质并为波传输控制提供新方向。
摘要：
无序的存在会严重阻碍波传输，导致著名的安德森局域化。先前理论研究发现，一维（1D）具有手性跳跃的非厄米无序环中存在安德森转变，违背了厄米系统局域化的标度理论。在这些系统中，局域（扩展）模式与实（复）能相关。本文报告此类系统中也存在复能安德森局域模式（CELMs）。CELMs的出现直接与对应无杂质非厄米系统的性质相关：周期边界条件下复谱的态密度和开边界链的非布洛赫宇称-时间转变均对CELMs的产生起关键作用。扩展模式、实能局域模式（RELMs）和CELMs的共存是AI类一维非厄米无序系统的普遍现象。本研究表明安德森机制与非厄米物理的相互作用丰富了无序介质的性质，为控制波传输开辟了新可能。
英文摘要：
The presence of disorder can severely impede wave transport, resulting in the famous Anderson localization. Previous theoretical studies found that Anderson transition can exist in one-dimensional (1D) non-Hermitian disordered rings with chiral hopping, defying the scaling theory of localization for Hermitian systems. In these systems, localized (extended) modes are associated with real (complex) energies. Here, we report that Anderson localized modes with complex energies can also exist in such systems. The emergence of the complex-energy localized modes (CELMs) directly ties to the properties of the corresponding pristine non-Hermitian system. Specifically, the density of states of the complex spectrum under the periodic boundary condition and the non-Bloch parity-time transition of the open-boundary chain both play critical roles in the emergence of the CELMs. The coexistence of extended modes, real-energy localized modes (RELMs), and CELMs should be a generic phenomenon for 1D non-Hermitian disordered systems under class AI. Our work shows that the interplay between Anderson mechanism and non-Hermitian physics enriches the properties of disordered media and opens new possibilities for controlling wave transport.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
