论文标题
准膜链中的移动边缘的自洽理论
Self-consistent theory of mobility edges in quasiperiodic chains
论文作者
论文摘要
我们在最近的邻近紧密结合链中引入了一种自洽的活动边缘理论。在系统参数和能量空间中局部和扩展状态之间的界限，移动性边缘在准二级系统中是通用的，这些系统缺乏常见研究的aubry-andré-andré-harper模型的无能无关的自二重性。这种系统中的电势是强烈和无限范围的相关性，反映了它们的确定性性质，并使问题与无序系统不同。重要的是，所引入的基本理论框架是与模型无关的，因此可以分析用于任意准隔离系统的迁移率边缘轨迹。我们使用两个模型家族来体现该理论，并表明结果与确切的迁移率边缘非常吻合，并从精确的对角线化获得的数值结果也非常吻合。
We introduce a self-consistent theory of mobility edges in nearest-neighbour tight-binding chains with quasiperiodic potentials. Demarcating boundaries between localised and extended states in the space of system parameters and energy, mobility edges are generic in quasiperiodic systems which lack the energy-independent self-duality of the commonly studied Aubry-André-Harper model. The potentials in such systems are strongly and infinite-range correlated, reflecting their deterministic nature and rendering the problem distinct from that of disordered systems. Importantly, the underlying theoretical framework introduced is model-independent, thus allowing analytical extraction of mobility edge trajectories for arbitrary quasiperiodic systems. We exemplify the theory using two families of models, and show the results to be in very good agreement with the exactly known mobility edges as well numerical results obtained from exact diagonalisation.
