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Non-Hermitian Aubry-André model with power-law hopping

Non-Hermitian Aubry-André model with power-law hopping

We study a non-Hermitian AA model with long-range hopping, $1/{r}^{a}$, and different choices of quasiperiodic parameters $\ensuremath{\beta}$ to be a member of the metallic mean family. We find that when the power-law exponent is in the $a<1$ regime, the system displays a delocalized-to-multifractal (DM) edge in its eigenstate spectrum. For …