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Non-Hermitian mobility edges in one-dimensional quasicrystals with parity-time symmetry

Non-Hermitian mobility edges in one-dimensional quasicrystals with parity-time symmetry

We investigate the localization-delocalization transition in one-dimensional non-Hermitian quasiperiodic lattices with exponential short-range hopping, which possess parity-time ($\mathcal{PT}$) symmetry. The localization transition induced by the non-Hermitian quasiperiodic potential is found to occur at the $\mathcal{PT}$-symmetry-breaking point. Our results also demonstrate the existence of energy-dependent mobility edges, which separate the extended …