广义SSH模型中孤立扩展态与异常临界行为
Isolated extended states and anomalous critical behavior in the generalized SSH model
AI总结：
研究广义SSH模型中扩展态的局域特性，发现无界跃迁保护的扩展态，但泛化非共线零点破坏其保护，导致扩展相转为多标度相，边界仍存在扩展态，与多标度富集运动边分离多标度相与局域相，揭示扩展态源于SSH模型带边态，影响邻近能级本征态，引发异常扩展-多标度临界转变。
摘要：
我们研究了广义SSH模型的局域特性。数值和分析结果表明，在该模型中出现了由无界跃迁保护的扩展态。此外，这种保护效应被泛化非共线零点的出现所破坏，导致系统中的扩展相转变为多标度相。然而，在相区边界，我们仍观察到扩展态的存在。这些扩展态与多标度富集的运动边重合，将多标度相与局域相分隔开。进一步分析表明，这些扩展态源于SSH模型的带边态。此外，这些孤立扩展态还影响邻近能级的本征态，导致异常的扩展到多标度的临界转变。这些发现不仅丰富了临界点处本征态的行为谱，还为进一步理解安德森局域化和多标度相的诱导提供了新见解。
英文摘要：
We investigate the localization properties of a generalized SSH model. Numerical and analytical results indicate the emergence of extended states protected by unbounded hopping in this model. Moreover, this protection effect is disrupted by the appearance of generalized incommensurate zeros, causing the extended phase in the system to transition into a multifractal phase. However, at the boundaries of the phase region, we still observe the existence of extended states. These extended states coincide with multifractality-enriched mobility edges, separating the multifractal phase from the localized phase. Further analysis reveals that this extended states originates from the band edge states of SSH model. In addition, these isolated extended states also influence eigenstates with nearby energies, giving rise to an anomalous extended-to-multifractal critical transition. These findings not only enrich the behavioral repertoire of eigenstates at critical points, but also offer new insights for further understanding Anderson localization and the induction of multifractal phases.
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