Long-range hopping in the quasi-periodic potential weakens the
non-Hermitian skin effect
Long-range hopping in the quasi-periodic potential weakens the
non-Hermitian skin effect
In this paper, we investigate a non-Hermitian Aubry-Andr\'e-Harper model characterized by power-law hoppings ($1/s^{a}$) and a quasi-periodic parameter $\beta$, where $a$ denotes the power-law index, $s$ represents the hopping distance, and $\beta$ belongs to the metallic mean family. In the intermediate phases, we find that ergodic states correspond to complex …