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The interplay between non-Hermitian topology and disorder remains a central puzzle in open quantum systems. While the non-Hermitian skin effect (NHSE) is known to be robust against weak perturbations, its fate under strong disorder,…

Disordered Systems and Neural Networks · Physics 2025-12-04 Ali Tozar

A unique phenomenon in non-Hermitian systems is the non-Hermitian skin effect (NHSE), namely the boundary localization of continuous-spectrum eigenstates. However, studies on the NHSE in systems without translational invariance are still…

Quantum Physics · Physics 2025-03-04 Heng Lin , Jinghui Pi , Yunyao Qi , Wei Qin , Franco Nori , Gui-Lu Long

Recently, it has been revealed that a variety of novel phenomena emerge in hyperbolic spaces, while non-Hermitian physics has significantly enriched the landscape of condensed matter physics. Building on these developments, we construct a…

Other Condensed Matter · Physics 2024-10-22 Ruizhe Shen , Wei Jie Chan , Ching Hua Lee

The current understanding of the role of topology in non-Hermitian (NH) systems and its far-reaching physical consequences observable in a range of dissipative settings are reviewed. In particular, how the paramount and genuinely NH concept…

Mesoscale and Nanoscale Physics · Physics 2021-03-03 Emil J. Bergholtz , Jan Carl Budich , Flore K. Kunst

Crystal symmetries play an essential role in band structures of non-Hermitian Hamiltonian. In this paper, we propose a non-Hermitian skin effect (NHSE) enforced by nonsymmorphic symmetries. We show that the NHSE inevitably occurs if a…

Mesoscale and Nanoscale Physics · Physics 2024-01-18 Yutaro Tanaka , Ryo Takahashi , Ryo Okugawa

In ordered, translationally invariant non-Hermitian systems, the skin effect is understood as a boundary phenomenon: nonreciprocal hopping drives an extensive accumulation of eigenstates towards the edges, whereas the periodic-boundary…

Optics · Physics 2026-04-02 Yeyang Sun , Shu Yang , Yi Yang

This paper shows that the skin effect in systems of non-Hermitian subwavelength resonators is robust with respect to random imperfections in the system. The subwavelength resonators are highly contrasting material inclusions that resonate…

Mathematical Physics · Physics 2023-08-14 Habib Ammari , Silvio Barandun , Bryn Davies , Erik Orvehed Hiltunen , Ping Liu

Absolute negative mobility (ANM) in nonequilibrium systems depicts the possibility of particles propagating toward the opposite direction of an external force. We uncover in this work a phenomenon analogous to ANM regarding eigenstate…

Quantum Physics · Physics 2022-09-01 Linhu Li , Wei Xin Teo , Sen Mu , Jiangbin Gong

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

We examine a non-Hermitian (NH) tight-binding system comprising of two orbitals per unit cell and their electrical circuit analogues. We distinguish the PT-symmetric and non-PT symmetric cases characterised by non-reciprocal nearest…

Mesoscale and Nanoscale Physics · Physics 2024-03-11 Dipendu Halder , Ronny Thomale , Saurabh Basu

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

While chirality imbalances are forbidden in conventional lattice systems, non-Hermiticity can effectively avoid the chiral-doubling theorem to facilitate 1D chiral dynamics. Indeed, such systems support unbalanced unidirectional flows that…

Mesoscale and Nanoscale Physics · Physics 2023-03-01 Penghao Zhu , Xiao-Qi Sun , Taylor L. Hughes , Gaurav Bahl

Non-Hermitian skin effect (NHSE), namely that eigenstates of non-Hermitian Hamiltonains are localized at one boundary in the open boundary condition, attracts great interest recently.In this paper, we investigate the skin effect in…

Quantum Physics · Physics 2024-07-18 Liang Mao , Xuanpu Yang , Ming-Jie Tao , Haiping Hu , Lei Pan

The concept of non-Hermiticity has expanded the understanding of band topology leading to the emergence of counter-intuitive phenomena. One example is the non-Hermitian skin effect (NHSE), which involves the concentration of eigenstates at…

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

One of the most striking features of non-Hermitian quasiperiodic systems with arbitrarily small asymmetry in the hopping amplitudes and open boundaries is the accumulation of all the bulk eigenstates at one of the edges of the system,…

Disordered Systems and Neural Networks · Physics 2024-12-09 Aditi Chakrabarty , Sanjoy Datta

Non-Hermitian skin effect (NHSE) is a unique feature studied extensively in non-interacting non-Hermitian systems. In this work, we extend the NHSE originally discovered in non-interacting systems to interacting many-body systems by…

Quantum Gases · Physics 2023-05-03 Liang Mao , Yajiang Hao , Lei Pan

We discover that the interplay between Hilbert space fragmentation and multiple non-Hermitian pumping channels leads to distinct non-Hermitian skin effect (NHSE) in real and Fock spaces. Using an extended Hatano-Nelson model with…

Quantum Gases · Physics 2025-04-10 Yi-An Wang , Linhu Li

The scalefree non-Hermitian skin effect (NHSE) refers to the phenomenon that the localization length of skin modes scales proportionally with system size in non-Hermitian systems. Authors of recent studies have demonstrated that the…

Quantum Physics · Physics 2024-01-17 Wei Li , Zhoujian Sun , Ze Yang , Fuxiang Li

The discovery of non-Hermitian skin effect (NHSE) has opened an exciting direction for unveiling unusual physics and phenomena in non-Hermitian system. Despite notable theoretical breakthroughs, actual observation of NHSE's whole…

Materials Science · Physics 2022-12-13 Zhongming Gu , He Gao , Haoran Xue , Jensen Li , Zhongqing Su , Jie Zhu
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