https://doi.org/10.1140/epjp/s13360-025-06631-3
Regular Article
Band structure of the one-dimensional longer-range Su–Schrieffer–Heeger model regulated by multiple non-Hermitian mechanisms
College of Sciences, Northeastern University, 110819, Shenyang, China
a
ljrphysics@163.com
b
zhanglianlian@mail.neu.edu.cn
Received:
23
March
2025
Accepted:
7
July
2025
Published online:
23
July
2025
In this work, we investigate the regulatory effects of imaginary potentials and nonreciprocal couplings on the band structure, topological properties, and localization in the Su–Schrieffer–Heeger model with longer-range hopping. The results show that the interplay between imaginary potentials and nonreciprocal couplings significantly modulates the topological phase regions and induces gapless phases. Nonreciprocal couplings drive the non-Hermitian skin effect, leading to the localization of eigenstates at the system boundaries. Notably, adjusting the strength of the imaginary potential enables the decoupling of edge states from skin states, thereby providing precise control over localization positions. Based on these findings, our work uncovers the critical role of non-Hermitian mechanisms in regulating the physical properties of longer-range coupled systems, offering new insights into the phase transition mechanisms in non-Hermitian topological systems.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.