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Power law hopping of single particles in one-dimensional non-Hermitian quasicrystals

Power law hopping of single particles in one-dimensional non-Hermitian quasicrystals

In this paper, a non-Hermitian Aubry-Andr\'e-Harper model with power law hoppings ($1/{s}^{a}$) and quasiperiodic parameter $\ensuremath{\beta}$ is studied, where $a$ is the power law index, $s$ is the hopping distance, and $\ensuremath{\beta}$ is a member of the metallic mean family. We find that the number of the quasiperiodic parameter $\ensuremath{\beta}$-dependent …