Year: 2025
Type: article
Abstract: In this paper, we investigate a non-Hermitian Aubry-Andr\'e-Harper model characterized by power-law hoppings ($1/{s}^{a}$) and a quasiperiodic parameter $\ensuremath{\beta}$, where $a$ denotes the power-law index, $s$ represents the hopping distance, and $\ensuremath{\beta}$ belongs to the metallic mean family. In the intermediate phases, we find that ergodic states correspond to complex eigenvalues, multifractal states correspond to real eigenvalues, and localized states may exhibit either complex or real eigenvalues. In the localized phase, the energy spectra are complex, with most of the eigenvalues of localized states being real, while a few are complex. Under open boundary conditions, our analysis of fractal dimensions and eigenstates reveals that all ergodic states transform into scale-free localized states. Furthermore, we demonstrate that long-range hoppings weaken the skin effect, offering another perspective for exploring non-Hermitian skin effects.
Authors: Dechi Peng, Shujie Cheng, Gao Xianlong
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4408304577