https://doi.org/10.1140/epjb/s10051-025-00983-6
Regular Article - Solid State and Materials
Non-hermitian second-order topological superconductor with 
-wave pairing
1
The School of Physics and Electronic Engineering, Jiangsu University, 212013, Zhenjiang, China
2
Department of Physics, Yancheng Institute of Technology, 224051, Yancheng, China
a
hbb4236@ycit.edu.cn
b
yangxs@ujs.edu.cn
Received:
3
March
2025
Accepted:
9
June
2025
Published online:
2
July
2025
Non-Hermitian systems exhibit many exotic phenomena without any Hermitian counterpart, such as the non-Hermitian skin effect, which can fundamentally change the topology of the systems. In this paper, we investigate the topology of the non-Hermitian superconductor with -wave pairing. The study of -wave pairing is crucial for understanding unconventional superconductivity in iron-based materials, as it explains the sign reversal gap driven by spin fluctuations. This mechanism offers insights into other correlated electron systems, such as nickelates under high pressure, and advances the field of high-temperature superconductivity. We explore the topological features of a non-Hermitian superconductor with -wave pairing on a square lattice. We demonstrate that non-Hermitian second-order topological superconductors exhibit unique band collapse behaviors and localized Majorana corner and zero modes under open boundary conditions. Furthermore, we reveal the system’s 
skin effect, preserving particle-hole symmetry and providing insights into topological phase transitions between non-Hermitian second-order topological superconductors and trivial superconductors.
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© The Author(s), under exclusive licence to EDP Sciences, SIF 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.
