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Recently, many novel and exotic phases have been proposed by considering the role of topology in non-Hermitian systems, and their emergent properties are of wide current interest. In this work we propose the non-Hermitian generalization of…

Mesoscale and Nanoscale Physics · Physics 2021-10-12 Ayan Banerjee , Awadhesh Narayan

We illuminate the fundamental mechanism responsible for the transition between the non-Hermitian skin effect and defect-induced localization in the bulk. We study a Hamiltonian with non-reciprocal couplings that exhibits the skin effect…

Mesoscale and Nanoscale Physics · Physics 2024-03-20 Bryn Davies , Silvio Barandun , Erik Orvehed Hiltunen , Richard V. Craster , Habib Ammari

We construct a three-dimensional (3D), time-reversal symmetric generalization of the Chalker-Coddington network model for the integer quantum Hall transition. The novel feature of our network model is that in addition to a weak topological…

Disordered Systems and Neural Networks · Physics 2021-10-04 Jun Ho Son , S. Raghu

The interplay of topology and non-Hermiticity has led to diverse, exciting manifestations in a plethora of systems. In this work, we systematically investigate the role of non-Hermiticity in the Chern insulating Haldane model on a dice…

Quantum Physics · Physics 2023-04-05 Ronika Sarkar , Arka Bandyopadhyay , Awadhesh Narayan

We investigate theoretically tunable non-Hermitian skin effect in systems with gain and loss, and find that bipolar (quadripolar) non-Hermitian skin effect characterized by topological invariants in one (two)-dimensional system. We also…

Applied Physics · Physics 2024-10-29 Wen-Cheng Jiang , Hong Wu , Jian Li , Qing-Xu Li , Jia-Ji Zhu

The critical exponents of continuous phase transitions of a Hermitian system depend on and only on its dimensionality and symmetries. This is the celebrated notion of the universality of continuous phase transitions. Here we report the…

Disordered Systems and Neural Networks · Physics 2023-01-24 C. Wang , X. R. Wang

The spectral properties of a non-Hermitian quasi-1D lattice in two of the possible dimerization configurations are investigated. Specifically, it focuses on a non-Hermitian diamond chain that presents a zero-energy flat band. The flat band…

Mesoscale and Nanoscale Physics · Physics 2023-12-19 C. Martínez-Strasser , M. A. J. Herrera , A. García-Etxarri , G. Palumbo , F. K. Kunst , D. Bercioux

Non-Hermiticity alters topology with the presence of non-Hermitian factors in topological systems. Most existing non-Hermitian topological systems derive their topological phases from Hermitian components, that is, the gain and loss of the…

Non-Hermitian quantum systems, characterized by their ability to model open systems with gain and loss, have unveiled striking phenomena such as the non-Hermitian skin effect (NHSE), where eigenstates localize at boundaries under open…

Strongly Correlated Electrons · Physics 2026-01-06 Chakradhar Rangi , Juana Moreno , Ka-Ming Tam

Anderson (localization) transition is a universal wave phenomenon characterized by a disorder-induced quantum phase transition from extended to localized states, whereas the non-Hermitian skin effect is a generic feature of non-Hermitian…

Disordered Systems and Neural Networks · Physics 2026-03-31 C. Wang , X. R. Wang , Hechen Ren

In this work, we demonstrate the presence of an anomalous non-Hermitian skin effects which decay from both ends of a system consisting of two coupled Hermitian chains induced by non-reciprocal inter-chain cross-coupling. Another intriguing…

Critical phase transitions contain a variety of deep and universal physics, and are intimately tied to thermodynamic quantities through scaling relations. Yet, these notions are challenged in the context of non-Hermiticity, where spatial or…

Statistical Mechanics · Physics 2021-01-06 R. Arouca , C. H. Lee , C. Morais Smith

Recently, a simple non-interacting-electron model, combining local quantum tunneling via quantum point contacts and global classical percolation, has been introduced in order to describe the observed ``metal-insulator transition'' in two…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yigal Meir

The paradigm shift of the Hermitian systems into the non-Hermitian regime profoundly modifies the inherent topological property, leading to various unprecedented effects such as the non-Hermitian skin effect (NHSE). In the past decade, the…

Classical Physics · Physics 2023-08-21 Yun-Kai Liu , Pei-Chao Cao , Minghong Qi , Qiang-Kai-Lai Huang , Yu-Gui Peng , Ying Li , Xue-Feng Zhu

This article studies a non-Hermitian Su-Schrieffer-Heeger (SSH) model which has periodically staggered Hermitian and non-Hermitian dimers. The changes in topological phases of the considered chiral symmetric model with respect to the…

Quantum Physics · Physics 2024-12-30 A Niveth , S Karthiga , M Senthilvelan

Topological phases of Hermitian systems are known to exhibit intriguing properties such as the presence of robust boundary states and the famed bulk-boundary correspondence. These features can change drastically for their non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2019-07-01 Flore K. Kunst , Vatsal Dwivedi

In this work, we explore interesting consequences arising from the coupling between a clean non-Hermitian chain with skin localization and a delocalized chain of the same length under various boundary conditions (BCs). We reveal that in the…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Sen Mu , Longwen Zhou , Linhu Li , Jiangbin Gong

We demonstrate that crystal defects can act as a probe of intrinsic non-Hermitian topology. In particular, in point-gapped systems with periodic boundary conditions, a pair of dislocations may induce a non-Hermitian skin effect, where an…

Mesoscale and Nanoscale Physics · Physics 2021-10-13 Frank Schindler , Abhinav Prem

Non-Hermitian skin effect and critical skin effect are unique features of non-Hermitian systems. In this Letter, we study an open system with its dynamics of single-particle correlation function effectively dominated by a non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2020-11-04 Chun-Hui Liu , Kai Zhang , Zhesen Yang , Shu Chen

Non-Hermitian skin effect (NHSE) in non-Hermitian lattice systems, associated with a point gap on the complex energy plane, has attracted great theoretical and experimental interest. Much less is studied on the so-called second-order…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 Weiwei Zhu , Jiangbin Gong
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