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The non-Hermitian skin effect describes the concentration of an extensive number of eigenstates near the boundaries of certain dissipative systems. This phenomenon has raised a huge interest in different areas of physics, including…

Optics · Physics 2025-04-10 Stefano Longhi

This work uncovers a new class of criticality where eigenenergies and eigenstates of non-Hermitian lattice systems jump discontinuously across a critical point in the thermodynamic limit, unlike established Hermitian and non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2020-11-03 Linhu Li , Ching Hua Lee , Sen Mu , Jiangbin Gong

The non-Hermitian skin effect, nonreciprocity-induced anomalous localization of an extensive number of eigenstates, represents a hallmark of non-Hermitian topological systems with no analogs in Hermitian systems. Despite its significance…

Mesoscale and Nanoscale Physics · Physics 2025-09-22 Kohei Kawabata , Daichi Nakamura

The interplay between band topology and material nonlinearity gives rise to a variety of novel phenomena, such as topological solitons and nonlinearity-induced topological phase transitions. However, most previous studies fall within the…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Junyao Wu , Rui-Chang Shen , Li Zhang , Fujia Chen , Bingbing Wang , Hongsheng Chen , Yihao Yang , Haoran Xue

Non-Hermitian photonics provides a fertile platform for exploring phenomena with no Hermitian counterparts, including the non-Hermitian skin effect and exceptional points, with direct relevance for integrated photonic technologies. In this…

Optics · Physics 2026-02-26 Xiaosen Yang , Yaru Feng , Abdul Wahab , Hao Geng

A non-Hermitian system can exhibit extensive sensitivity of its complex energy spectrum to the imposed boundary conditions, which is beyond any known phenomenon from Hermitian systems. In addition to topologically protected boundary modes,…

Other Condensed Matter · Physics 2019-05-15 Ching Hua Lee , Ronny Thomale

We identify and investigate two classes of non-Hermitian systems, i.e., one resulting from Lorentz-symmetry violation (LSV) and the other from a complex mass (CM) with Lorentz invariance, from the perspective of quantum field theory. The…

Mesoscale and Nanoscale Physics · Physics 2019-08-21 Zi-Yong Ge , Yu-Ran Zhang , Tao Liu , Si-Wen Li , Heng Fan , Franco Nori

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

The non-Hermitian skin effect is a distinctive phenomenon in non-Hermitian systems, which manifests as the anomalous localization of bulk states at the boundary. To understand the physical origin of the non-Hermitian skin effect, a bulk…

Quantum Physics · Physics 2024-03-06 Tuo Wan , Kai Zhang , Junkai Li , Zhesen Yang , Zhaoju Yang

Non-Bloch topological invariants preserve the bulk-boundary correspondence in non-Hermitian topological systems, and are a key concept in the contemporary study of non-Hermitian topology. Here we report the dynamic detection of non-Bloch…

Mesoscale and Nanoscale Physics · Physics 2022-01-04 Kunkun Wang , Tianyu Li , Lei Xiao , Yiwen Han , Wei Yi , Peng Xue

A hallmark of topological band theory in periodic media is that bulk properties are not affected by boundary conditions. Remarkably, in certain non-Hermitian lattices the bulk properties are largely affected by boundaries, leading to such…

Optics · Physics 2020-12-15 Stefano Longhi

In a recent experiment, a dissipative Aharaonov-Bohm (AB) chain was implemented in the momentum space of a Bose-Einstein condensate. Formed by a series of dissipative AB rings threaded by synthetic magnetic flux, the chain exhibits the…

Quantum Gases · Physics 2022-11-28 Haowei Li , Wei Yi

Non-Hermitian systems exhibit a distinctive phenomenon known as the non-Hermitian skin effect, where an extensive number of eigenstates become localized at the boundaries of a lattice with open boundaries. While the spectral winding number…

Materials Science · Physics 2025-04-17 Wuping Yang , H. Huang

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 Liouvillian skin effect and the non-Hermitian skin effect have both been used to explain the localization of eigenmodes near system boundaries, though the former is arguably more accurate in some regimes due to its incorporation of…

Quantum Physics · Physics 2025-03-18 Po-Chen Kuo , Shen-Liang Yang , Neill Lambert , Jhen-Dong Lin , Yi-Te Huang , Franco Nori , Yueh-Nan Chen

The non-Hermitian skin effect (NHSE), characterized by a macroscopic accumulation of eigenstates at the edge of a system with open boundaries, is often ascribed to a non-trivial point-gap topology of the Bloch Hamiltonian. We revisit this…

Statistical Mechanics · Physics 2026-04-07 J. Sirker

Boundary perturbations are generally irrelevant for bulk properties in the thermodynamic limit, as they are edge-confined and subextensive. We show that this expectation breaks down in boundary-driven systems exhibiting the non-Hermitian…

Quantum Physics · Physics 2026-04-14 Yu-Min Hu , Yu-Bo Shi , Linhu Li , Gianluca Teza , Ching Hua Lee , Roderich Moessner , Shu Zhang , Sen Mu

Non-Hermitian band topology can give rise to phenomena with no counterparts in Hermitian systems. A well-known example is the non-Hermitian skin effect (NHSE), where Bloch eigenstates localize at a boundary, induced by a nontrivial spectrum…

Mesoscale and Nanoscale Physics · Physics 2025-08-28 Hong-Yu Zou , Bing-Bing Wang , Yong Ge , Ke-Qi Zhao , Yu-Qi Chen , Hong-Xiang Sun , Shou-Qi Yuan , Haoran Xue , Baile Zhang

The non-Hermitian skin effect (NHSE) is a hallmark of non-Hermitian system, yet its generalized Brillouin zone (GBZ) description is restricted to periodic systems. We develop a site-resolved theory via a local scaling transformation (LST),…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Chen-Hao Zhao , Jia-Rui Li , Yuping Tian , Wei-Jiang Gong

The interplay between non-Hermitian effects and topological insulators has become a frontier of research in non-Hermitian physics. However, the existence of a non-Hermitian skin effect for topological-protected edge states remains…

Quantum Physics · Physics 2024-05-29 Xinran Ma , Kui Cao , Xiaoran Wang , Zheng Wei , Supeng Kou
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