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The non-Hermitian skin effect (NHSE) undermines the conventional bulk-boundary correspondence (BBC) since it results in a distinct bulk spectrum in open-boundary systems compared to the periodic counterpart. Using the non-Hermitian (NH)…

Mesoscale and Nanoscale Physics · Physics 2024-05-03 Yi-Xin Xiao , Zhao-Qing Zhang , C. T. Chan

The bulk-boundary correspondence (BBC) relates in-gap boundary modes to bulk topological invariants. In certain non-Hermitian topological systems, conventional BBC becomes invalid in the presence of the non-Hermitian skin effect (NHSE),…

Mesoscale and Nanoscale Physics · Physics 2024-04-15 Rijia Lin , Linhu Li

Bulk-boundary correspondence, connecting the bulk topology and the edge states, is an essential principle of the topological phases. However, the bulk-boundary correspondence is broken down in general non-Hermitian systems. In this paper,…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Yang Cao , Yang Li , Xiaosen Yang

Non-Hermitian (NH) lattice Hamiltonians display a unique kind of energy gap and extreme sensitivity to boundary conditions. Due to the NH skin effect, the separation between edge and bulk states is blurred and the (conventional)…

Quantum Physics · Physics 2023-10-25 Matteo Brunelli , Clara C. Wanjura , Andreas Nunnenkamp

Hermitian topological materials are characterized by the nontrivial relation between topological numbers and edge modes, i.e. the bulk-boundary correspondence. In non-Hermitian systems, the conventional correspondence breaks down. Instead,…

Strongly Correlated Electrons · Physics 2022-11-22 Shohei Masuda , Masaaki Nakamura

The synergy of non-Hermitian and topology renders the bulk-boundary correspondence (BBC) even more elusive. Here we study a non-Hermitian Creutz ladder that incorporates both gain-loss and nonreciprocity, and construct multiple BBCs…

Quantum Physics · Physics 2026-05-11 Xin Li , TongYi Li , JingYu Peng , Yu Wang

Dramatically different from the Hermitian systems, the conventional Bulk-Boundary Correspondence (BBC) is broken in the non-Hermitian systems. In this article, we use edge entanglement entropy to characterize the topological properties of…

Strongly Correlated Electrons · Physics 2022-02-16 Weitao Chen , Liangtao Peng , Hantao Lu , Xiancong Lu

The bulk-boundary correspondence is among the central issues of non-Hermitian topological states. We show that a previously overlooked `non-Hermitian skin effect' necessitates redefinition of topological invariants in a generalized…

Mesoscale and Nanoscale Physics · Physics 2018-09-07 Shunyu Yao , Zhong Wang

This work comprehensively investigates the non-Hermitian skin effect (NHSE) in a spinless Bernevig- Hughes-Zhang (BHZ)-like model in one dimension. It is generally believed that a system with non-reciprocal hopping amplitudes demonstrates…

Mesoscale and Nanoscale Physics · Physics 2024-05-24 Dipendu Halder , Saurabh Basu

In previous studies, the topological invariants of 1D non-Hermitian systems have been defined in open boundary condition (OBC) to satisfy the bulk-boundary correspondence. The extreme sensitivity of bulk energy spectra to boundary…

Mesoscale and Nanoscale Physics · Physics 2020-06-30 Eunwoo Lee , Hyunjik Lee , Bohm-Jung Yang

We address the breakdown of the bulk-boundary correspondence observed in non-Hermitian systems, where open and periodic systems can have distinct phase diagrams. The correspondence can be completely restored by considering the Hamiltonian's…

Mesoscale and Nanoscale Physics · Physics 2019-05-24 Loic Herviou , Jens H. Bardarson , Nicolas Regnault

Bulk-boundary correspondence, a central principle in topological matter relating bulk topological invariants to edge states, breaks down in a generic class of non-Hermitian systems that have so far eluded experimental effort. Here we…

Mesoscale and Nanoscale Physics · Physics 2020-08-21 Lei Xiao , Tianshu Deng , Kunkun Wang , Gaoyan Zhu , Zhong Wang , Wei Yi , Peng Xue

Topological edge states in gaps of non-Hermitian systems are robust due to topological protection. Using the non-Hermitian Floquet Su-Schrieffer-Heeger model, we show that this robustness can break down: edge states may be suppressed by…

Quantum Physics · Physics 2025-10-13 Hong Wu , Xue-Min Yang , Hui Liu

Non-Hermitian skin effect(NHSE) describes a unique non-Hermitian phenomenon that all eigen-modes are localized near the boundary, and has profound impact on a wide range of bulk properties. In particular, topological systems with NHSE have…

Quantum Gases · Physics 2022-11-29 Lihong Zhou , Haowei Li , Wei Yi , Xiaoling Cui

Topological modes (TMs) are usually localized at defects or boundaries of a much larger topological lattice. Recent studies of non-Hermitian band theories unveiled the non-Hermitian skin effect (NHSE), by which the bulk states collapse to…

Applied Physics · Physics 2022-08-05 Wei Wang , Xulong Wang , Guancong Ma

The consistency between eigenvalues calculated under open and periodic boundary conditions, named as {\it bulk-bulk correspondence} ($\mathcal{BBC}$), can be destroyed in systems with non-Hermitian skin effect (NHSE). In spite of the great…

Disordered Systems and Neural Networks · Physics 2023-01-10 Zhi-Qiang Zhang , Hongfang Liu , Haiwen Liu , Hua Jiang , X. C. Xie

In this paper, we study a non-Hermitian (NH) ladder subjected to a variety of driving protocols. The driven system looses chiral symmetry (CS) whose presence is indispensable for its topological characterization. Further, the bulk boundary…

Mesoscale and Nanoscale Physics · Physics 2025-04-03 Koustav Roy , Koustabh Gogoi , Saurabh Basu

In this work we study topological properties of the one-dimensional Creutz ladder model with different non-Hermitian asymmetric hoppings and on-site imaginary potentials, and obtain phase diagrams regarding the presence and absence of an…

Quantum Physics · Physics 2022-01-14 Hui-Qiang Liang , Linhu Li

We study a bipartite Kronig-Penney model with negative Dirac-delta potentials that may be used, amongst other models, to interpret plasmon propagation in nanoparticle arrays. Such a system can be mapped into a Su-Schrieffer-Heeger-like…

Mesoscale and Nanoscale Physics · Physics 2020-10-15 Thomas Benjamin Smith , Alessandro Principi

The topology of non-Hermitian systems is drastically shaped by the non-Hermitian skin effect, which leads to the generalized bulk-boundary correspondence and non-Bloch band theory. The essential part in formulations of bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2019-12-11 Fei Song , Shunyu Yao , Zhong Wang
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