AI 中文总结
本研究在具有非局域跳跃的扩展Aubry-André模型中揭示了金属-绝缘体共存及跨越能隙的畴壁模式，阐明了局域化、非局域性与输运的相互作用。
AI 中文摘要
非平衡输运仍然是现代物理学的核心主题，涵盖从凝聚态到合成系统。在此，我们研究了具有系统尺度跳跃（即跳跃范围与系统尺寸成正比的非局域跳跃）的扩展Aubry-André模型中的粒子输运，并揭示了实空间中的金属-绝缘体共存区，其中金属和绝缘空间域共存于同一系统内，并由尖锐的空间边界分隔。在绝缘区域，在没有准周期势的情况下，粒子表现出类似平带的局域化，而准周期势则诱导出不同于传统指数局域化的独特多点局域化。同时，粒子可以自由传播并隧穿穿过由绝缘区域分隔的空间上不连通的金属域。在此共存相之外，我们识别出具有梳状空间轮廓的非常规跨越能隙的畴壁模式，这些模式介导了跨越分离金属域的非局域、多点输运。我们的发现揭示了具有非局域跳跃的系统中局域化、非局域性与输运之间丰富的相互作用。
英文摘要
Nonequilibrium transport remains a central theme in modern physics, spanning from condensed matter to synthetic systems. Here, we investigate particle transport in an extended Aubry-André model with system-scale hopping, namely nonlocal hopping with a range proportional to the system size, and uncover a metal-insulator coexistence regime in real space, where metallic and insulating spatial domains coexist within the same system and are separated by sharp spatial boundaries. In the insulating region, particles exhibit flat-band-like localization in the absence of quasiperiodic potentials, while a quasiperiodic potential induces distinct multi-point localization, different from conventional exponential localization. Meanwhile, particles can freely propagate and tunnel across spatially disconnected metallic domains separated by the insulating region. Beyond this coexistence phase, we identify unconventional gap-crossing domain-wall modes with comb-like spatial profiles that mediate nonlocal, multi-point transport across separated metallic domains. Our findings reveal a rich interplay between localization, nonlocality, and transport in systems with nonlocal hopping.
Journal refPhys. Rev. A 114, 033308, 2026
