Winding Numbers and Generalized Mobility Edges in Non-Hermitian Systems

11 Jul 2020 Zeng Qi-Bo Xu Yong

The Aubry-Andr\'e-Harper (AAH) model with a self-dual symmetry plays an important role in studying the Anderson localization. Here we find a self-dual symmetry determining the quantum phase transition between extended and localized states in a non-Hermitian AAH model and show that the eigenenergies of these states are characterized by two types of winding numbers... (read more)

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  • MESOSCALE AND NANOSCALE PHYSICS