Intrinsic-perturbation induced anomalous higher-order boundary states in non-Hermitian systems

• URL: http://arxiv.org/abs/2509.18952v1
• Date: Tue, 23 Sep 2025 13:00:05 GMT
• Title: Intrinsic-perturbation induced anomalous higher-order boundary states in non-Hermitian systems
• Authors: Hui-Qiang Liang, Zuxuan Ou, Linhu Li, Guo-Fu Xu,
• Abstract summary: We uncover a novel mechanism that induces anomalous higher-order boundary states.<n>Based on the mechanism, we reveal a new kind of phase transition, i.e., the transition between hybrid skin-topological states and scale-free topological boundary states.<n>Unlike conventional hybrid skin-topological states or higher-order non-Hermitian skin effect, the above two kinds of anomalous higher-order boundary states exhibit size-dependent characteristics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The behavior of higher-order boundary states in non-Hermitian systems is elusive and thereby finding the mechanism behind these states is both essential and significant. Here, we uncover a novel mechanism that induces anomalous higher-order boundary states. The mechanism originates from the sensitivity of the non-normal boundary Hamiltonian to intrinsic perturbations, where intrinsic perturbations here refer to the influence of the bulk on the topological boundaries. Based on the mechanism, we reveal a new kind of phase transition, i.e., the transition between hybrid skin-topological states and scale-free topological boundary states. We also find that scale-free topological boundary states exhibit size-dependent spectra, influencing the existence of higher-order topological boundary states. Unlike conventional hybrid skin-topological states or higher-order non-Hermitian skin effect, the above two kinds of anomalous higher-order boundary states exhibit size-dependent characteristics. Our work opens a new horizon for the control of higher-order boundary states and topological properties of non-Hermitian systems.

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