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Non-reciprocal systems exhibit extreme sensitivity to boundary conditions, typically manifesting as the non-Hermitian skin effect (NHSE) under open boundaries. By bridging the boundaries with a tunable impurity bond, one can access…

Mesoscale and Nanoscale Physics · Physics 2026-02-12 Kazuma Saito , Ryo Okugawa , Kazuki Yokomizo , Takami Tohyama , Chen-Hsuan Hsu

This work comprehensively investigates the non-Hermitian skin effect (NHSE) in a spinless Bernevig- Hughes-Zhang (BHZ)-like model in one dimension. It is generally believed that a system with non-reciprocal hopping amplitudes demonstrates…

Mesoscale and Nanoscale Physics · Physics 2024-05-24 Dipendu Halder , Saurabh Basu

To characterize a destruction of Anderson localization by nonlinearity, we study the spreading behavior of initially localized states in disordered, strongly nonlinear lattices. Due to chaotic nonlinear interaction of localized linear or…

Chaotic Dynamics · Physics 2012-06-12 Mario Mulansky , Karsten Ahnert , Arkady Pikovsky

Bloch wavefunctions in crystals experience localization within the bulk when disorder is introduced, a phenomenon commonly known as Anderson localization. This effect is considered universal, being applicable to all types of waves, quantum…

The non-Hermitian skin effect (NHSE), featured by the collapse of bulk-band eigenstates into the localized boundary modes of the systems, is one of most striking properties in the fields of non-Hermitian physics. Unique physical phenomena…

Quantum Gases · Physics 2025-01-16 Zhao-Fan Cai , Tao Liu , Zhongmin Yang

Spatio-temporal extensions of familiar compartment models for disease transmission incorporating diffusive behavior, or interactions between individuals at separate locations, are explored. The models considered have the character of…

Biological Physics · Physics 2022-06-28 Joseph Rudnick , David Jasnow , Jorge Vinals

Non-equilibrium dynamics in non-Hermitian systems has attracted significant interest, particularly due to the skin effect and its associated anomalous phenomena. Previous studies have primarily focused on initial states with a definite…

Quantum Physics · Physics 2025-11-05 Sibo Guo , Shuai Yin , Shi-Xin Zhang , Zi-Xiang Li

Non-reciprocity is an important topic in fundamental physics and quantum-device design, as much effort has been devoted to its engineering and manipulation. Here we experimentally demonstrate non-reciprocal transport in a two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 Quan Lin , Wei Yi , Peng Xue

Non-Hermitian systems exhibit anomalous scaling, a striking departure from conventional bulk laws, rooted in the non-Hermitian skin effect (NHSE). Here, we experimentally uncover this scaling and demonstrate its active control in a temporal…

Optics · Physics 2026-03-30 Shulin Wang , Jiawei He , Zhiyuan Yang , Stefano Longhi , Peng Xue

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

We study the effect of disorder on the particle density evolution in a classical Hamiltonian driven lattice setup. If the disorder is localized within a finite sub-domain of the lattice, the emergence of strong tails in the density…

Chaotic Dynamics · Physics 2016-09-21 Thomas Wulf , Alexander Okupnik , Peter Schmelcher

The interaction between non-reciprocity and disorder-free localization has emerged as a fascinating open question. Here, we explore the effects of pseudo mobility edges (MEs) along with different types of eigenstates in a one-dimensional…

Disordered Systems and Neural Networks · Physics 2025-01-30 Yu-Jun Zhao , Han-Ze Li , Xuyang Huang , Shan-Zhong Li , Jian-Xin Zhong

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

Far from being limited to a trivial generalization of their Hermitian counterparts, non-Hermitian topological phases have gained widespread interest due to their unique properties. One of the most striking non-Hermitian phenomena is the…

Mesoscale and Nanoscale Physics · Physics 2022-05-25 Kuangyin Deng , Benedetta Flebus

Based on a general transport theory for non-reciprocal non-Hermitian systems and a topological model that encompasses a wide range of previously studied models, we (i) provide conditions for effects such as reflectionless and transparent…

Mesoscale and Nanoscale Physics · Physics 2021-08-20 Hamed Ghaemi-Dizicheh , Henning Schomerus

The hybrid skin-topological effect (HSTE) has recently been proposed as a mechanism where topological edge states collapse into corner states under the influence of the non-Hermitian skin effect (NHSE). However, directly observing this…

The non-Hermitian skin effect can lead to directional amplification of response, with the associated end-to-end Green's function generally exhibiting size dependence. Any deviation in length or local disorder can drastically alter the…

Quantum Physics · Physics 2026-05-01 Kunling Zhou , Zihe Yang , Bowen Zeng , Yong Hu

Two-dimensional non-Hermitian photonic lattices with asymmetric couplings offer rich possibilities for controlling wave localization, through the emergence of the non-Hermitian skin effect at lattice corners or sides. Incorporating optical…

Pattern Formation and Solitons · Physics 2026-01-27 Emmanouil T. Kokkinakis , Ioannis Komis , Konstantinos G. Makris

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

We study the localization and topological transitions of the generalized non-Hermitian SSH models, where the non-Hermiticities are introduced by the complex quasiperiodic hopping and the nonreciprocal hopping. We elucidate the universality…

Quantum Gases · Physics 2023-08-16 X. Q. Sun , C. S. Liu