论文标题
具有相对相的Aubry-André-Harper模型中的精确移动性边缘
Exact mobility edges in Aubry-André-Harper models with relative phases
论文作者
论文摘要
流动性边缘（ME）是一种在频谱中分离局部和扩展状态的关键能量，是理解本地化物理学的核心概念。但是，很少有具有精确MES的模型。在本文中，我们概括了[Phys。莱特牧师。 114，146601（2015）]，最近在[Phys。莱特牧师。 126，040603（2021）]，通过在准碘电势中引入相对相。应用阿维拉的全球理论，我们分析计算所有单粒子状态的定位长度，并确定ME的确切表达，这两个都显着取决于相对相。它们通过数值模拟来验证，还提供了对精确表达的物理感知。我们进一步证明，我的确切表达适用于广泛的广义Aubry-André-Harper模型。此外，我们表明，确切的我与具有远距离跳跃的双重模型中的ME有关。
Mobility edge (ME), a critical energy separating localized and extended states in spectrum, is a central concept in understanding the localization physics. However, there are few models with exact MEs. In the paper, we generalize the Aubry-André-Harper model proposed in [Phys. Rev. Lett. 114, 146601 (2015)] and recently realized in [Phys. Rev. Lett. 126, 040603 (2021)], by introducing a relative phase in the quasiperiodic potential. Applying Avila's global theory we analytically compute localization lengths of all single-particle states and determine the exact expression of ME, which both significantly depend on the relative phase. They are verified by numerical simulations, and a physical perception of the exact expression is also provided. We further demonstrate that the exact expression of ME works for an even broad class of generalized Aubry-André-Harper models. Moreover, we show that the exact ME is related to the one in the dual model which has long-range hoppings.
