We investigate the non-Hermitian Haldane model on hyperbolic 8,3 and 12,3 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 a 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 a 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.
%0 Journal Article
%1 PhysRevB.108.075122
%A Sun, Junsong
%A Li, Chang-An
%A Feng, Shiping
%A Guo, Huaiming
%D 2023
%I American Physical Society
%J Phys. Rev. B
%K a
%N 7
%P 075122
%R 10.1103/PhysRevB.108.075122
%T Hybrid higher-order skin-topological effect in hyperbolic lattices
%U https://link.aps.org/doi/10.1103/PhysRevB.108.075122
%V 108
%X We investigate the non-Hermitian Haldane model on hyperbolic 8,3 and 12,3 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 a 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 a 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.
@article{PhysRevB.108.075122,
abstract = {We investigate the non-Hermitian Haldane model on hyperbolic {8,3} and {12,3} 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 a 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 a 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.},
added-at = {2024-02-21T15:41:27.000+0100},
author = {Sun, Junsong and Li, Chang-An and Feng, Shiping and Guo, Huaiming},
biburl = {https://www.bibsonomy.org/bibtex/2848dc06acbcb0662e86ea843224cfd2c/ctqmat},
day = 09,
doi = {10.1103/PhysRevB.108.075122},
interhash = {74a5aed269b2fa44de3eb121cffaa2fc},
intrahash = {848dc06acbcb0662e86ea843224cfd2c},
journal = {Phys. Rev. B},
keywords = {a},
month = {08},
number = 7,
numpages = {9},
pages = 075122,
publisher = {American Physical Society},
timestamp = {2024-02-21T15:41:27.000+0100},
title = {Hybrid higher-order skin-topological effect in hyperbolic lattices},
url = {https://link.aps.org/doi/10.1103/PhysRevB.108.075122},
volume = 108,
year = 2023
}