Localization transition, spectrum structure, and winding numbers for one-dimensional non-Hermitian quasicrystals
Localization transition, spectrum structure, and winding numbers for one-dimensional non-Hermitian quasicrystals
By analyzing the Lyapunov exponent, the authors develop here a general scheme for the study of one-dimensional non-Hermitian quasicrystals. Based on Avila's global theory, they establish a correspondence between a series of non-Hermitian quasicrystals and their corresponding Hermitian models, which allows them to obtain the phase transition properties of non-Hermitian …