Probing multi-mobility edges in quasiperiodic mosaic lattices.

IF 18.8 1区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Science Bulletin Pub Date : 2025-01-15 Epub Date: 2024-09-26 DOI:10.1016/j.scib.2024.09.030
Jun Gao, Ivan M Khaymovich, Xiao-Wei Wang, Ze-Sheng Xu, Adrian Iovan, Govind Krishna, Jiayidaer Jieensi, Andrea Cataldo, Alexander V Balatsky, Val Zwiller, Ali W Elshaari
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Abstract

The mobility edge (ME) is a crucial concept in understanding localization physics, marking the critical transition between extended and localized states in the energy spectrum. Anderson localization scaling theory predicts the absence of ME in lower dimensional systems. Hence, the search for exact MEs, particularly for single particles in lower dimensions, has recently garnered significant interest in both theoretical and experimental studies, resulting in notable progress. However, several open questions remain, including the possibility of a single system exhibiting multiple MEs and the continual existence of extended states, even within the strong disorder domain. Here, we provide experimental evidence to address these questions by utilizing a quasiperiodic mosaic lattice with meticulously designed nanophotonic circuits. Our observations demonstrate the coexistence of both extended and localized states in lattices with broken duality symmetry and varying modulation periods. By single-site injection and scanning the disorder level, we could approximately probe the ME of the modulated lattice. These results corroborate recent theoretical predictions, introduce a new avenue for investigating ME physics, and offer inspiration for further exploration of ME physics in the quantum regime using hybrid integrated photonic devices.

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探测准周期镶嵌网格中的多流动边缘
迁移率边缘(ME)是理解局域化物理学的一个重要概念,它标志着能谱中扩展态与局域态之间的临界过渡。安德森局域化缩放理论预测低维系统中不存在ME。因此,寻找精确的 ME,特别是低维单粒子的 ME,最近在理论和实验研究中都引起了极大的兴趣,并取得了显著的进展。然而,一些悬而未决的问题依然存在,包括单个系统表现出多个ME的可能性,以及扩展态的持续存在,甚至是在强无序域内。在这里,我们利用一个准周期镶嵌晶格和精心设计的纳米光子电路,为解决这些问题提供了实验证据。我们的观察结果表明,在二元对称性被破坏、调制周期各不相同的晶格中,扩展态和局部态并存。通过单点注入和扫描无序水平,我们可以近似地探测调制晶格的 ME。这些结果证实了最近的理论预测,为研究ME物理引入了一条新途径,并为利用混合集成光子器件进一步探索量子体系中的ME物理提供了灵感。
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来源期刊
Science Bulletin
Science Bulletin MULTIDISCIPLINARY SCIENCES-
CiteScore
24.60
自引率
2.10%
发文量
8092
期刊介绍: Science Bulletin (Sci. Bull., formerly known as Chinese Science Bulletin) is a multidisciplinary academic journal supervised by the Chinese Academy of Sciences (CAS) and co-sponsored by the CAS and the National Natural Science Foundation of China (NSFC). Sci. Bull. is a semi-monthly international journal publishing high-caliber peer-reviewed research on a broad range of natural sciences and high-tech fields on the basis of its originality, scientific significance and whether it is of general interest. In addition, we are committed to serving the scientific community with immediate, authoritative news and valuable insights into upcoming trends around the globe.
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