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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 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

The high sensitivity of the spectrum and wavefunctions to boundary conditions, termed the non-Hermitian skin effect, represents a fundamental aspect of non-Hermitian systems. While it endows non-Hermitian systems with unprecedented physical…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Nan Cheng , Chang Shu , Kai Zhang , Xiaoming Mao , Kai Sun

The anomalous bulk-boundary correspondence in non-Hermitian systems featuring an intricate interplay between skin and boundary modes has attracted enormous theoretical and experimental attention. Still, in dimensions higher than one, this…

Mesoscale and Nanoscale Physics · Physics 2025-06-10 Fan Yang , Emil J. Bergholtz

The Hatano-Nelson and the non-Hermitian Su-Schrieffer-Heeger model are paradigmatic examples of non-Hermitian systems that host non-trivial boundary phenomena. In this work, we use recently developed graph-theoretical tools to design…

The non-Hermitian skin effect is a phenomenon in which an extensive number of states accumulates at the boundaries of a system. It has been associated to nontrivial topology, with nonzero bulk invariants predicting its appearance and its…

Mesoscale and Nanoscale Physics · Physics 2025-09-24 Helene Spring , Viktor Könye , Anton R. Akhmerov , Ion Cosma Fulga

The skin effect and topological edge states in non-Hermitian system have been well-studied, and the second-order skin effect and corner modes have also been proposed in non-Hermitian system recently. In this paper, we construct the nested…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Yongxu Fu , Jihan Hu , Shaolong Wan

The emergence of the non-Hermitian skin effect, distinguished by the exponential localization of bulk states onto boundaries in open systems, has redefined the conventional band theory. It can be established through the generalized…

Other Condensed Matter · Physics 2026-05-19 Jiuchun Meng , Lichao Sun , Xiumei Wang , Dandan Zhu , Xingping Zhou

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

We investigate a one-dimensional tight-binding lattice with asymmetrical couplings and various type of nonlinearities to study nonlinear non-Hermitian skin effect. Our focus is on the exploration of nonlinear skin modes through a…

Pattern Formation and Solitons · Physics 2025-05-15 C. Yuce

We analyze a correlated system in equilibrium with special emphasis on non-Hermitian topology inducing a skin effect. The pseudo-spectrum, computed by the real-space dynamical mean-field theory, elucidates that additional pseudo-eigenstates…

Strongly Correlated Electrons · Physics 2021-03-31 Tsuneya Yoshida

We demonstrate that dislocations in two-dimensional non-Hermitian systems can give rise to density accumulation or depletion through the localization of an extensive number of states. These effects are shown by numerical simulations in a…

Mesoscale and Nanoscale Physics · Physics 2021-12-16 Balaganchi A. Bhargava , Ion Cosma Fulga , Jeroen van den Brink , Ali G. Moghaddam

Non-Hermitian theory is a theoretical framework that excels at describing open systems. It offers a powerful tool in the characterization of both the intrinsic degrees of freedom (DOFs) of a system and the interactions with the external…

Quantum Physics · Physics 2024-05-28 Kun Ding , Chen Fang , Guancong Ma

Non-Hermitian skin-edge states emerge only at one edge in one-dimensional nonreciprocal chains, where all states are localized at the edge irrespective of eigenvalues. The bulk topological number is the winding number associated with the…

Mesoscale and Nanoscale Physics · Physics 2019-05-10 Motohiko Ezawa

Subskin modes are distinct from conventional skin modes as they localize not at the system's edge but rather below the edge. Unlike skin modes, where a substantial number of them can accumulate at the boundaries of a system due to the…

Optics · Physics 2025-05-26 C. Yuce

For decades, Hermiticity was considered an immutable axiom of quantum mechanics, essential for ensuring real energies and unitary evolution. This perspective has shifted radically, driven by the realization that non-Hermitian Hamiltonians…

Quantum Physics · Physics 2026-03-17 Federico Roccati , Federico Balducci

We investigate novel features of three dimensional non-Hermitian Weyl semimetals, paying special attention to its unconventional bulk-boundary correspondence. We use the non-Bloch Chern numbers as the tool to obtain the topological phase…

Mesoscale and Nanoscale Physics · Physics 2019-04-05 Xiaosen Yang , Yang Cao , Yunjia Zhai

The skin effect, where bulk modes collapse into boundary modes, is a key phenomenon in topological non-Hermitian systems, has been predominantly studied in spinless systems. Recent studies illustrate the magnetic suppression of the…

Mesoscale and Nanoscale Physics · Physics 2024-08-19 Wenna Zhang , Yutao Hu , Hongyi Zhang , Xiang Liu , Georgios Veronis , Yuecheng Shen , Yin Huang , Wenchen Luo , Andrea Alu`

We study a system where the two edges of a non-Hermitian lattice with asymmetric nearest-neighbor hopping are connected with two Hermitian lattices with symmetric nearest-neighbor hopping. In the absence of those Hermitian lattices, the…

Disordered Systems and Neural Networks · Physics 2023-08-11 Ranjan Modak

Non-Hermitian physics has attracted considerable attention in recent years, particularly the non-Hermitian skin effect (NHSE) for its extreme sensitivity and non-locality. While the NHSE has been physically observed in various classical…

Quantum Physics · Physics 2025-02-10 Ruizhe Shen , Tianqi Chen , Bo Yang , Ching Hua Lee
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