弯曲时空中的 Anderson 局域化与摆动迁移率边
Anderson Localization and Swing Mobility Edge in Curved Spacetime
AI总结：
该研究构建弯曲时空中的准周期晶格模型，发现局域、摆动和次扩展相共存的新型摆动迁移率边，并用自洽分段法与多重分形分析确定临界相图。
摘要：
我们构建了一个弯曲时空中的准周期晶格模型，以探索同时涉及凝聚态物理和弯曲时空物理的交叉现象。我们研究了相关的 Anderson 局域化，发现该模型具有清晰的局域相—扩展相分离边界，这导致了摆动迁移率边，即局域相、摆动相和次扩展相的共存。本文首次报道的摆动迁移率边以依赖于相位的本征态为特征，也就是说，对于准周期势的不同相位参数，本征态会在扩展态与局域态之间摆动。此外，我们发展了一种新颖的自洽分段方法，用于计算相分离临界点的解析表达式，并通过在多重分形分析中计算分形维数和标度指数，得到了丰富的相图。
英文摘要：
We construct a quasiperiodic lattice model in curved spacetime to explore the crossover concerning both condensed matter and curved spacetime physics. We study the related Anderson localization and find that the model has a clear boundary of localized-extended phase separation, which leads to a swing mobility edge, i.e., the coexistence of localized, swing and sub-extended phases. The swing mobility edge, first reported here, features the phase-dependent eigenstate, that is, the eigenstate swing between the extended and localized state for differnt phase parameter of the quasiperiodic potential. Furthermore, A novel self-consistent segmentation method is developed to calculate the analytical expression of the critical point of phase separation, and the rich phase diagram is obtained by calculating the fractal dimension and scaling index in multifractal analysis.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
