AI 中文总结
该研究针对带可调最近邻相互作用的自旋1/2粒子建模的一维准周期势晶格，发现相互作用可使Aubry-André模型的金属-绝缘体相变对应噪声颜色从粉红向棕色偏移，功率谱等可作为相变可靠指标。
AI 中文摘要
我们重新研究了一维晶格中金属-绝缘体相变，该晶格受到格点准周期势的作用，采用具有可调最近邻相互作用的自旋1/2粒子建模。为表征该相变，我们研究了功率谱，其定义为相邻能级间距傅里叶变换的模平方。在无相互作用时，功率谱无法捕捉到清晰的相变特征，在所有区域均持续呈现类棕色噪声行为。相比之下，有相互作用的情况显示出显著变化：金属相呈现与粉红噪声一致的光谱涨落，而绝缘相则以棕色噪声为特征。这些结果得到了能级间距分布和能级数方差分析的支持。此外，我们证明，在有相互作用和无相互作用的场景中，统计量和能量本征态结构均为该相变提供了可靠指标。
英文摘要
We revisit the metal-insulator transition in a one-dimensional lattice subjected to an on-site quasiperiodic potential, modeled using spin-1/2 particles with tunable nearest-neighbor interactions. To characterize the transition, we examine the power-spectrum, defined as the squared modulus of the Fourier transform of consecutive level spacings. In the absence of interactions, the power-spectrum fails to capture clear signatures of the transition, consistently exhibiting brown-noise-like behavior across regimes. In contrast, the interacting case reveals a marked change: the metallic phase displays spectral fluctuations consistent with pink noise, while the insulating phase is characterized by brown noise. These results are supported by analyses of the level spacing distribution and the level number variance. Additionally, we demonstrate that both statistics and the structure of energy eigenstates provide reliable indicators of the transition, in both interacting and non-interacting scenarios.
Comments8 pages, 6 figures
