论文标题
根据系统对边界条件的响应来表征DELEACALIZED的安德森相变
Characterizing the delocalized-localized Anderson phase transition based on the system's response to boundary conditions
论文作者
论文摘要
基于系统对边界条件的响应，对安德森相变的新表征被引入。我们将边界条件从周期性变为反碘，并寻找其对系统本征态的影响。为了表征这些效果，我们使用国家的重叠。特别是，我们在具有定期和反碘的边界条件下，在具有定期和抗二维的边界条件的系统的基本状态之间的重叠中，具有离域 - 位置化相变的一维模型。我们观察到重叠在本地阶段接近一个，并且在离域阶段变小。此外，在具有迁移率边缘的模型中，我们计算具有周期性和反碘边界条件的单粒子本征态之间的重叠，以表征整个光谱。通过这种单粒子重叠，我们可以找到离域和局部状态之间的迁移率边缘。
A new characterization of the Anderson phase transition, based on the response of the system to the boundary conditions is introduced. We change the boundary conditions from periodic to antiperiodic and look for its effects on the eigenstate of the system. To characterize these effects, we use the overlap of the states. In particular, we numerically calculate the overlap between the ground-state of the system with periodic and antiperiodic boundary conditions in one-dimensional models with delocalized-localized phase transitions. We observe that the overlap is close to one in the localized phase, and it gets appreciably smaller in the delocalized phase. In addition, in models with mobility edges, we calculate the overlaps between single-particle eigenstate with periodic and antiperiodic boundary conditions to characterize the entire spectrum. By this single-particle overlap, we can locate the mobility edges between delocalized and localized states.
