Adiabatic Pumping in a Generalized Aubry–André Model Family with Mobility Edges

The adiabatic pumping between left and right end modes in a generalized Aubry–André model family with mobility edges by resorting to two end–bulk–end channels is investigated. It is shown that the system can be in an intermediate regime mixed with localized and extended phases as the mobility edge is introduced. One of the channels can remain intact even when the parameter determining the localization–delocalization transition exceeds the...