发表机构
Yanshan University（燕山大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究证明相关无序链中空间有序性仅保护共振峰而非周围输运，相邻交换误差会恢复与能量失谐平方成正比的局域化，可通过交换前后透射光谱实验检验。
AI 中文摘要
空间关联可以抑制无序链中的散射，并产生完美透射共振。然而，这种保护的实际价值并不取决于共振峰本身，而是取决于周围透射窗口的宽度及其对局部有序误差的敏感性。我们证明，共振在其中心可以保持完全透明，而任意稀有的相邻交换误差会恢复一个与能量失谐平方成正比的逆局域化长度。对于由固定长度和组成的独立模块组装而成的无损耗单通道链，这一正二次项由局部散射不变量保证，并且对每种排列以及介于零和一之间的每个固定交换概率都成立。在精确调谐和匹配接触的情况下，中心透射保持为单位一。一个微观量子链在理想的递归排列中表现出高阶散射抑制，并且对局部交换展现出预测的响应。这些结果揭示了空间有序性的一种局限性，而这种局限性在仅测量共振时是不可见的：空间有序性保护的是共振峰，而非其周围的输运。因此，该效应可以通过测量交换前后透射光谱来进行实验检验，而无需识别微观缺陷。
英文摘要
Spatial correlations can suppress scattering in disordered chains and produce perfectly transmitting resonances. The practical value of this protection, however, depends not on the resonance peak itself but on the width of the surrounding transmission window and its sensitivity to local ordering errors. We show that a resonance can remain exactly transparent at its center while arbitrarily rare adjacent-swap errors restore an inverse localization length proportional to the square of the energy detuning. For lossless single-channel chains assembled from independent blocks of fixed length and composition, this positive quadratic term is guaranteed by a local scattering invariant and holds for every arrangement and every fixed swap probability between zero and one. With exact tuning and matched contacts, the central transmission remains unity. A microscopic quantum chain exhibits both higher-order suppression of scattering in the ideal recursive arrangement and the predicted response to local exchanges. These results reveal a limitation of spatial ordering that is invisible to a measurement at the resonance alone: spatial ordering protects the resonance peak, not the transport around it. The effect can therefore be tested experimentally by measuring transmission spectra before and after exchanges, without identifying microscopic defects.
