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We present a full description of the nonergodic properties of wavefunctions on random graphs without boundary in the localized and critical regimes of the Anderson transition. We find that they are characterized by two critical localization…

Disordered Systems and Neural Networks · Physics 2020-01-29 I. García-Mata , J. Martin , R. Dubertrand , O. Giraud , B. Georgeot , G. Lemarié

We demonstrate how the relative phase between the multiple time periodic driving can decide the emergence and the favorable localization direction of non-Hermitian skin modes. For the static non-Hermitian quantum chain with parity time…

Quantum Physics · Physics 2026-05-22 Huan-Yu Wang

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

We establish a novel mechanism for topological transitions in non-Hermitian systems that are controlled by the system size. Based on a new paradigm known as exceptional-bound (EB) band engineering, its mechanism hinges on the unique…

Other Condensed Matter · Physics 2026-03-10 Mengjie Yang , Ching Hua Lee

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

A unique feature of non-Hermitian systems is the extreme sensitivity of the eigenspectrum to boundary conditions with the emergence of the non-Hermitian skin effect (NHSE). A NHSE originates from the point-gap topology of complex…

Mesoscale and Nanoscale Physics · Physics 2025-01-16 Xiang Li , Jin Liu , Tao Liu

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

A unique feature of non-Hermitian (NH) systems is the NH skin effect, i.e. the edge localization of an extensive number of bulk-band eigenstates in a lattice with open or semi-infinite boundaries. Unlike extended Bloch waves in Hermitian…

Quantum Physics · Physics 2022-04-14 Stefano Longhi

Non-Hermitian skin effects and exceptional points are topological phenomena characterized by integer winding numbers. In this study, we give methods to theoretically detect skin effects and exceptional points by generalizing inversion…

Mesoscale and Nanoscale Physics · Physics 2021-05-24 Ryo Okugawa , Ryo Takahashi , Kazuki Yokomizo

Useful in the enhancement of light-matter interaction, localization of light is at the heart of photonics studies. Different approaches have been proposed to localize light, including those based on dynamical localization, topological…

Optics · Physics 2023-07-26 Weiwei Zhu , Jiangbin Gong

Non-linear effects and non-Hermitian phenomena unveil additional intricate facets in topological matter physics. They can naturally intertwine to enable advanced functionalities in topoelectrical circuits and photonic structures. Here, we…

Optics · Physics 2024-06-27 Vlad Simonian , Daria A. Smirnova , Maxim A. Gorlach

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

Lattice models featuring the non-Hermitian skin effect have attracted rapidly growing interest due to their nontrivial spectral topology and the exotic field dynamics they enable. Such non-Hermitian lattices provide a promising paradigm for…

Quantum Physics · Physics 2025-02-19 Lei Du , Anton Frisk Kockum

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

Non-Hermitian topological insulators have attracted considerable attention due to their distinctive energy band characteristics and promising applications. Here, we systematically investigate non-Hermitian M\"obius insulators and…

Mesoscale and Nanoscale Physics · Physics 2025-06-18 Wenjie Zhang , Yuting Yang , Xiaopeng Shen , Liwei Shi , Zhi Hong Hang

Quantum simulators of lattice gauge theories involve dynamics of typically short-ranged interacting particles and dynamical fields. Elimination of the latter via Gauss law leads to infinite range interactions as exemplified by the Schwinger…

Disordered Systems and Neural Networks · Physics 2024-06-25 Arindam Mallick , Jakub Zakrzewski

We report the experimental observation of the interaction and attraction of many localized modes in a two dimensional (2D) system realized by a disordered optical fiber supporting transverse Anderson localization. We show that a nonlocal…

Optics · Physics 2014-07-31 Marco Leonetti , Salman Karbasi , Arash Mafi , Claudio Conti

Non-Hermitian systems with complex-valued energy spectra provide an extraordinary platform for manipulating unconventional dynamics of light. Here, we demonstrate the localization of light in an instantaneously reconfigurable non-Hermitian…

Non-Hermitian effects have emerged as a new paradigm for the manipulation of phases of matter that profoundly changes our understanding of non-equilibrium systems, introducing novel concepts such as exceptional points and spectral topology,…

Quantum Physics · Physics 2023-12-14 Zhen Li , Li-Wei Wang , Xulong Wang , Zhi-Kang Lin , Guancong Ma , Jian-Hua Jiang

The non-Hermitian skin effect (NHSE) has been intensely investigated over the past few years and has unveiled new topological phases, which have no counterparts in Hermitian systems. Here we consider the hybridization between the NHSE in an…

Mesoscale and Nanoscale Physics · Physics 2024-02-13 Ruiqi Bao , Huawen Xu , Wouter Verstraelen , Timothy C. H. Liew