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Topological modes (TMs) are typically localized at boundaries, interfaces and dislocations, and exponentially decay into the bulk of a large enough lattice. Recently, the non-Hermitian skin effect has been leveraged to delocalize the…

Quantum Physics · Physics 2024-02-13 Kai Bai , Jia-Zheng Li , Tian-Rui Liu , Liang Fang , Duanduan Wan , Meng Xiao

Non-Hermitian boundaries commonly take place in many open quantum systems locally coupled to a surrounding environment. Here, we reveal a type of non-Hermitian effect induced by non-Hermitian boundaries, the non-Hermitian proximity effect…

Strongly Correlated Electrons · Physics 2023-07-04 Deguang Wu , Jiasong Chen , Wei Su , Rui Wang , Baigeng Wang , D. Y. Xing

We study the one-dimensional nonreciprocal lattices with real nearest neighboring hopping and find that the energy spectra under open boundary conditions can be entirely real or imaginary. We further investigate the spectral properties and…

Quantum Physics · Physics 2022-06-15 Qi-Bo Zeng , Rong Lü

Non-Hermitian skin effect exhibits the collapse of the extended bulk modes into the extensive number of localized boundary states in open boundary conditions. Here we demonstrate the disorder-driven phase transition of the trivial…

Mesoscale and Nanoscale Physics · Physics 2021-09-08 Kyoung-Min Kim , Moon Jip Park

We study the influence of disorder and randomly distributed impurities on the properties of correlated antiferromagnets. To this end the Hubbard model with (i) random potentials, (ii) random hopping elements, and (iii) randomly distributed…

Strongly Correlated Electrons · Physics 2009-10-31 M. Ulmke , P. J. H. Denteneer , V. Janis , R. T. Scalettar , A. Singh , D. Vollhardt , G. T. Zimanyi

Non-Hermiticity gives rise to distinctive topological phenomena absent in Hermitian systems. However, connection between such intrinsic non-Hermitian topology and Hermitian topology has remained largely elusive. Here, considering the bulk…

Mesoscale and Nanoscale Physics · Physics 2025-01-07 Shu Hamanaka , Tsuneya Yoshida , Kohei Kawabata

In some non-Hermitian systems, the eigenstates in the bulk are localized at the boundaries of the systems. This is called the non-Hermitian skin effect, and it has been studied mostly in discrete systems. In the present work, we study the…

Mesoscale and Nanoscale Physics · Physics 2022-05-09 Kazuki Yokomizo , Taiki Yoda , Shuichi Murakami

Non-Hermitian systems exhibit nontrivial band topology and a strong sensitivity of the energy spectrum on the boundary conditions. Remarkably, a macroscopic number of bulk states get squeezed toward the lattice edges under open boundary…

Quantum Physics · Physics 2022-07-26 Stefano Longhi

We consider periodically driven potential impurities coupled to the surface states of a two-dimensional topological insulator. The problem is addressed by means of two models, out which the first model is an effective continuum Hamiltonian…

Strongly Correlated Electrons · Physics 2019-10-02 Saurabh Pradhan , Jonas Fransson

The topology of non-Hermitian systems is fundamentally changed by the non-Hermitian skin effect, which leads to the generalized bulk-boundary correspondence. Based on the non-Bloch band theory, we get insight into the interplay between the…

Superconductivity · Physics 2024-03-28 Xaing Ji , Wenchen Ding , Yuanping Chen , Xiaosen Yang

The erratic non-Hermitian skin effect (ENHSE), emerging from the interplay between disorders and locally nonreciprocal yet globally reciprocal couplings, has reshaped the conventional bulk-boundary correspondence through its…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Yujian Yuan , Jie Liu , He Gao , Jiamin Guo , Zhongming Gu , Jie Zhu

Strongly correlated quantum impurities under periodic driving can exhibit emergent non-Hermitian phenomena, yet a microscopic understanding has been lacking. We introduce an auxiliary-fermion framework that captures the bath's spin-orbit…

Strongly Correlated Electrons · Physics 2025-12-03 Vinayak M. Kulkarni

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 spectral properties of a non-Hermitian quasi-1D lattice in two of the possible dimerization configurations are investigated. Specifically, it focuses on a non-Hermitian diamond chain that presents a zero-energy flat band. The flat band…

Mesoscale and Nanoscale Physics · Physics 2023-12-19 C. Martínez-Strasser , M. A. J. Herrera , A. García-Etxarri , G. Palumbo , F. K. Kunst , D. Bercioux

The non-Hermitian skin effect (NHSE), which drives bulk states toward system boundaries, modifies bulk-boundary correspondence and complicates the identification of topological edge modes. Although breaking translational symmetry is known…

Strongly Correlated Electrons · Physics 2026-03-25 F. Iwase

Non-Hermitian skin effect (NHSE) describes the exponential localization of all eigenstates toward boundaries in non-Hermitian systems, and has attracted intense research interest of late. Here we theoretically propose a scheme in which the…

Quantum Physics · Physics 2022-12-29 Ziguang Lin , Yiheng Lin , Wei Yi

The non-Hermitian skin effect (NHSE) is a distinctive topological phenomenon observed in nonHermitian systems. Recently, there has been considerable interest in exploring higher-order NHSE occurrences in two and three dimensions. In such…

Systems with non-Hermitian skin effects are very sensitive to the imposed boundary conditions and lattice size, and thus an important question is whether non-Hermitian skin effects can survive when deviating from the open boundary…

Quantum Physics · Physics 2021-09-15 Cui-Xian Guo , Chun-Hui Liu , Xiao-Ming Zhao , Yanxia Liu , Shu Chen

Non-Hermitian skin effect, which refers to the phenomenon that an extensive number of eigenstates are localized at the boundary, has been widely studied in lattice models and experimentally observed in several classical systems. In this…

Quantum Gases · Physics 2023-01-02 Sibo Guo , Chenxiao Dong , Fuchun Zhang , Jiangping Hu , Zhesen Yang

The non-Hermitian skin effect, anomalous localization of an extensive number of eigenstates induced by nonreciprocal dissipation, plays a pivotal role in non-Hermitian topology and significantly influences the open quantum dynamics.…

Strongly Correlated Electrons · Physics 2025-01-24 Shu Hamanaka , Kohei Kawabata