Mobility edges in one-dimensional finite-sized models with large quasi-periodic disorders

Abstract

We study the one-dimensional tight-binding model with quasi-periodic disorders, where the quasi-period is tuned to be large compared to the system size. It is found that this type of model with large quasi-periodic disorders can also support the mobility edges, which is very similar to the models with slowly varying quasi-periodic disorders. The energy-matching method is employed to determine the locations of mobility edges in both types of models. These results of mobility edges are verified by numerical calculations in various examples. We also provide qualitative arguments to support the fact that large quasi-periodic disorders will lead to the existence of mobility edges.