Exact Mobility Edges for 1D Quasiperiodic Models

Mobility edges (ME), i.e. critical energies which separate absolutely continuous spectrum and pure point spectrum, is an important issue in quantum physics. So far there are two experimentally feasible 1D quasiperiodic models that have been discovered to exact mobility edges. However, all the theoretical studies remained at numerical level. In this paper, we rigorously prove precisely locate of MEs for these models.