Hybrid higher-order skin-topological effect in hyperbolic lattices
Abstract
We investigate the non-Hermitian Haldane model on hyperbolic and lattices, and showcase its intriguing topological properties in the simultaneous presence of non-Hermitian effect and hyperbolic geometry. From bulk descriptions of the system, we calculate the real space non-Hermitian Chern numbers by generalizing the method from its Hermitian counterpart and present corresponding phase diagram of the model. For boundaries, we find that skin-topological modes appear in the range of the bulk energy gap under certain boundary conditions, which can be explained by an effective one-dimensional zigzag chain model mapped from hyperbolic lattice boundary. Remarkably, these skin-topological modes are localized at specific corners of the boundary, constituting a hybrid higher-order skin-topological effect on hyperbolic lattices.
Keywords
Cite
@article{arxiv.2305.19810,
title = {Hybrid higher-order skin-topological effect in hyperbolic lattices},
author = {Junsong Sun and Chang-An Li and Shiping Feng and Huaiming Guo},
journal= {arXiv preprint arXiv:2305.19810},
year = {2023}
}
Comments
10 pages, 10 figures