AI 中文总结
研究广义Su-Schrieffer-Heeger模型，揭示隐藏无界势驱动多重分形临界相的机制，实现解多重分形化与重入式多重分形化，相关理论预测经波包动力学验证，为设计新系统提供理论基础。
AI 中文摘要
我们研究广义Su-Schrieffer-Heeger模型中的多重分形临界性。结果表明，该系统不仅支持临界相，还存在重入式多重分形化（REM）。通过将跃迁项映射为有效势，我们从解析上证明，尽管该模型没有显式的无界势，却实际存在一个隐藏的无界势——这是驱动多重分形临界相出现的关键机制。此外，可得到显式无界势与隐藏无界势竞争完全平衡的条件，在此条件下，多重分形临界相消失，系统回归扩展相。基于该机制，我们实现了解多重分形化与重入式多重分形化。最后，我们通过波包动力学验证理论预测，数值结果与理论分析一致。本研究拓宽了对无界势诱导多重分形临界相的理解，为设计具有多重分形临界相的新系统提供理论基础。
英文摘要
We study the multifractal criticality in a generalized Su-Schrieffer-Heeger model. The results show that the system supports not only critical phases but also re-entrance multifractalization (REM). By mapping the hopping term to an effective potential, we analytically prove that although the model has no explicit unbounded potential, a hidden unbounded potential is actually present-this is the key mechanism driving the emergence of multifractal critical phases. Moreover, one can get a condition where the competition between the explicit and hidden unbounded potentials is exactly balanced. Under this condition, the multifractal critical phase vanish, and the system returns to the extended phase. Based on this mechanism, we achieve both demultifractalization and re-entrant multifractalization. Finally, we double check the theoretical predictions through wave packet dynamics, and the numerical results are consistent with our theoretical analysis. This work broadens our understanding of how unbounded potentials induce multifractal critical phases, providing a theoretical basis for designing new systems with multifractal critical phases.
Comments14 pages, 10 figures
