Non-Hermiticity induced exceptional points and skin effect in the Haldane model on a dice lattice

Review Physics, Multidisciplinary

Efficient and stable wireless power transfer based on the non-Hermitian physics

Chao Zeng et al.

Summary: This article reviews the recently developed efficient and stable resonance wireless power transfer (WPT) based on non-Hermitian physics, and introduces some optimization schemes and potential applications of this technology.

CHINESE PHYSICS B (2022)

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Article Materials Science, Multidisciplinary

Multitude of exceptional points in van der Waals magnets

Xin Li et al.

Summary: Several recent works have discussed the emergence of exceptional points in the long-wavelength dynamics of coupled magnetic systems, showing that they can appear over extended portions of the Brillouin zone. The effective non-Hermitian magnon Hamiltonian demonstrates an unusual wavevector-dependent pseudo-Hermiticity, with eigenvalues that are either purely real or in complex conjugate pairs. Additionally, the study discusses the complex and purely real spectra of topological edge states and their experimental implications in both armchair and zigzag nanoribbon geometries.

PHYSICAL REVIEW B (2022)

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Article Materials Science, Multidisciplinary

Interplay of disorder and point-gap topology: Chiral modes, localization, and non-Hermitian Anderson skin effect in one dimension

Ronika Sarkar et al.

Summary: This paper studies the interplay between symmetries and disorder in extended non-Hermitian quantum systems. It is found that breaking the sublattice symmetry can retain a nontrivial spectral topology and the value of the chiral current remains unchanged regardless of the strength of the disorder. The localization physics and the appearance of mobility-edge and skin effect under different boundary conditions are also investigated. Furthermore, the non-Hermitian Anderson skin effect is studied for different symmetry classes and it is found that the real-space winding number only shows a direct correspondence with it when all symmetries are broken.

PHYSICAL REVIEW B (2022)

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Article Materials Science, Multidisciplinary

Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system

Ayan Banerjee et al.

Summary: In this study, we investigate many-body steady states in the non-Hermitian generalization of the noninteracting Su-Schrieffer-Heeger model at a finite density of fermions. We discover distinct nonequilibrium phases, each with unique quasiparticle excitations and steady-state correlations and entanglement properties. By modulating the boundary, we uncover the topological features in these steady states.

PHYSICAL REVIEW B (2022)

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Article Materials Science, Multidisciplinary

Optically modulated tunneling current of dressed electrons in graphene and a dice lattice

Andrii Iurov et al.

Summary: In this study, we investigated the tunneling current and conductivity of square-potential barriers in graphene and alpha-T-3 lattices under a linearly polarized off-resonant dressing field. The introduction of the dressing field led to an anisotropy factor in the energy dispersion of tunneling electrons, resulting in elliptical cross sections of the Dirac cone. The misalignment between the major axis of the ellipse and the normal direction of the barrier layer in the tunneling system caused an asymmetric Klein paradox for off-normal-direction tunneling. By calculating the tunneling current and conductivity, we demonstrated a significant enhancement of electrical conductivity through the external laser field intensity.

PHYSICAL REVIEW B (2022)

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Article Multidisciplinary Sciences

Universal non-Hermitian skin effect in two and higher dimensions

Kai Zhang et al.

Summary: The authors introduce the skin effect discovered in a one-dimensional experiment and establish its universality in two and higher dimensional non-Hermitian systems. They also propose two new types of skin effect and show that systems with exceptional points exhibit the skin effect.

NATURE COMMUNICATIONS (2022)

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Article Materials Science, Multidisciplinary

Exceptional hexagonal warping effect in multi-Weyl semimetals

Debashree Chowdhury et al.

Summary: This study investigates the exceptional hexagonal warping effect generated by non-Hermitian loss/gain in double Weyl semimetals. This effect has a significant impact on Fermi surface topology and leads to the emergence of degenerate exceptional points.

PHYSICAL REVIEW B (2022)

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Review Nanoscience & Nanotechnology

Non-Hermitian and topological photonics: optics at an exceptional point

Midya Parto et al.

Summary: In recent years, concepts from non-Hermitian physics have been successfully deployed in optics and other fields, leading to the discovery of counterintuitive phenomena. These ideas have extended to other areas in search of new behaviors and functionalities that would have been impossible in standard Hermitian arrangements.

NANOPHOTONICS (2021)

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Article Engineering, Electrical & Electronic

Parity-Time Symmetry and Exceptional Points

Alex Krasnok et al.

IEEE ANTENNAS AND PROPAGATION MAGAZINE (2021)

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Article Physics, Condensed Matter

Non-Hermitian semi-Dirac semi-metals

Ayan Banerjee et al.

Summary: In this paper, the non-Hermitian generalization of semi-Dirac semimetals is proposed, and the topological phase transitions in these materials are studied. It is found that the non-Hermitian term creates exceptional points (EPs) and the topological phase diagram is mapped out. The nature of edge states for different types of semi-Dirac models is examined, showing the presence or absence of the non-Hermitian skin effect.

JOURNAL OF PHYSICS-CONDENSED MATTER (2021)

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Article Physics, Multidisciplinary

Magnetic Suppression of Non-Hermitian Skin Effects

Ming Lu et al.

Summary: The skin effect, where macroscopically many bulk states are aggregated toward the system boundary, is a significant phenomenon in non-Hermitian quantum systems. Applying a magnetic field can largely suppress this effect by pushing skin states back into the bulk and reducing the skin topological area. The restoration of the validity of the low-energy description by the applied magnetic field reveals a unique irrelevance of the generalized Brillouin zone in the standard non-Bloch band theory of non-Hermitian systems.

PHYSICAL REVIEW LETTERS (2021)

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Review Physics, Multidisciplinary

Exceptional topology of non-Hermitian systems

Emil J. Bergholtz et al.

Summary: This review discusses the current understanding of the role of topology in non-Hermitian systems and its physical consequences in dissipative settings, focusing on the concept of exceptional degeneracies and its distinct phenomena, as well as the new notions of gapped phases in single-band systems. The unique sensitivity of non-Hermitian matrices to boundary conditions is highlighted, leading to anomalous relationships between bulk and boundary physics. Additionally, applications of non-Hermitian topology in classical and quantum systems are reviewed, showing its relevance beyond the field of topological phases.

REVIEWS OF MODERN PHYSICS (2021)

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Article Multidisciplinary Sciences

Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits

Deyuan Zou et al.

Summary: This work reports the experimental realizations of hybrid higher-order skin-topological effect in non-reciprocal topoelectrical circuits, showcasing the dynamic interplay of non-reciprocal pumping and topological localization to form various states. Through a highly versatile and scalable circuit platform, the authors demonstrate higher-order topological skin effects, paving the way for applications in topological switching and sensing.

NATURE COMMUNICATIONS (2021)

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Article Multidisciplinary Sciences

Acoustic non-Hermitian skin effect from twisted winding topology

Li Zhang et al.

Summary: The experimental realization of the non-Hermitian skin effect in a one-dimensional non-reciprocal acoustic crystal demonstrates unique features such as bipolar localization and Bloch point, revealing previously unnoticed characteristics of NHSE originating from complex non-Hermitian winding topology.

NATURE COMMUNICATIONS (2021)

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Article Multidisciplinary Sciences

Generating arbitrary topological windings of a non-Hermitian band

Kai Wang et al.

Summary: The nontrivial topological features of non-Hermitian systems can be experimentally demonstrated and controlled by changing modulation waveforms. This topological winding allows for the synthesis and characterization of nontrivial phases in nonconservative systems.

SCIENCE (2021)

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Article Multidisciplinary Sciences

Observation of higher-order non-Hermitian skin effect

Xiujuan Zhang et al.

Summary: The study demonstrates the higher-order non-Hermitian skin effect in two-dimensional acoustic higher-order topological insulators, where non-Hermiticity drives wave localizations toward opposite edges upon different spin polarizations. Additionally, for finite systems with both edges and corners, the higher-order non-Hermitian skin effect leads to wave localizations toward two opposite corners in a spin-dependent manner, allowing for rich wave manipulation.

NATURE COMMUNICATIONS (2021)

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Article Materials Science, Multidisciplinary

Flat band assisted topological charge pump in the dice lattice

Xiao-Hua Wang et al.

Summary: By studying the possible topological charge pump in the Dice lattice, it was found that one type of mass term may result in a vanishing charge pump, while another mass term can pump out an integer number of charges in a pumping cycle. This observation is attributed to the presence of flat bands in the system.

PHYSICAL REVIEW B (2021)

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Article Optics

Light-driven Lifshitz transitions in non-Hermitian multi-Weyl semimetals

Debashree Chowdhury et al.

Summary: This work reports light-driven exceptional physics in a multi-Weyl semimetal, demonstrating the ability of light to not only control the position of exceptional contours, but also generate new ones. The study also shows controllable topological charge distribution and Lifshitz transition in the generated exceptional contours. The findings provide a promising platform for manipulation and control over exceptional physics in non-Hermitian topological matter.

PHYSICAL REVIEW A (2021)

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Article Physics, Multidisciplinary

Topolectric circuits: Theory and construction

Junkai Dong et al.

Summary: A general theory for engineering arbitrary Hermitian tight-binding lattice models in electrical LC circuits is proposed, where lattice sites are replaced by electrical nodes connected with capacitors and inductors. By supplementing each node with subnodes and implementing shift capacitor coupling, arbitrary hopping amplitudes between sites can be achieved. This principle is utilized to construct topological models in electrical circuits known as topolectric circuits, which exhibit robust zero-energy boundary modes at resonance frequency.

PHYSICAL REVIEW RESEARCH (2021)

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Review Chemistry, Multidisciplinary

Parity-Time Symmetry in Non-Hermitian Complex Optical Media

Samit Kumar Gupta et al.

ADVANCED MATERIALS (2020)

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Article Physics, Multidisciplinary

Non-Hermitian Exceptional Landau Quantization in Electric Circuits

Xiao-Xiao Zhang et al.

PHYSICAL REVIEW LETTERS (2020)

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Article Physics, Multidisciplinary

Non-Hermitian Boundary Modes and Topology

Dan S. Borgnia et al.

PHYSICAL REVIEW LETTERS (2020)

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Article Physics, Multidisciplinary

Topological Origin of Non-Hermitian Skin Effects

Nobuyuki Okuma et al.

PHYSICAL REVIEW LETTERS (2020)

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Article Multidisciplinary Sciences

The topology and robustness of two Dirac cones in S-graphene: A tight binding approach

Arka Bandyopadhyay et al.

SCIENTIFIC REPORTS (2020)

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Article Optics

Bulk-boundary correspondence in non-Hermitian systems: stability analysis for generalized boundary conditions

Rebekka Koch et al.

EUROPEAN PHYSICAL JOURNAL D (2020)

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Review Physics, Multidisciplinary

A review on role of tetra-rings in graphene systems and their possible applications

Arka Bandyopadhyay et al.

REPORTS ON PROGRESS IN PHYSICS (2020)

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Article Physics, Multidisciplinary

Non-Hermitian bulk-boundary correspondence in quantum dynamics

Lei Xiao et al.

NATURE PHYSICS (2020)

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Article Physics, Multidisciplinary

Generalized bulk-boundary correspondence in non-Hermitian topolectrical circuits

T. Helbig et al.

NATURE PHYSICS (2020)

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Article Physics, Multidisciplinary

Topological Switch for Non-Hermitian Skin Effect in Cold-Atom Systems with Loss

Linhu Li et al.

PHYSICAL REVIEW LETTERS (2020)

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Article Physics, Multidisciplinary

Non-Hermitian Bulk-Boundary Correspondence and Auxiliary Generalized Brillouin Zone Theory

Zhesen Yang et al.

PHYSICAL REVIEW LETTERS (2020)

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Article Physics, Applied

Two-dimensional non-Hermitian Skin Effect in a Synthetic Photonic Lattice

Yiling Song et al.

PHYSICAL REVIEW APPLIED (2020)

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Review Physics, Condensed Matter

Non-Hermitian physics

Yuto Ashida et al.

ADVANCES IN PHYSICS (2020)

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Article Materials Science, Multidisciplinary

Exceptional points make an astroid in non-Hermitian Lieb lattice: Evolution and topological protection

Yi-Xin Xiao et al.

PHYSICAL REVIEW B (2020)

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Article Multidisciplinary Sciences

Critical non-Hermitian skin effect

Linhu Li et al.

NATURE COMMUNICATIONS (2020)

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Article Materials Science, Multidisciplinary

Higher-order non-Hermitian skin effect

Kohei Kawabata et al.

PHYSICAL REVIEW B (2020)

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Article Materials Science, Multidisciplinary

Controlling exceptional points with light

Ayan Banerjee et al.

PHYSICAL REVIEW B (2020)

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Article Materials Science, Multidisciplinary

Unraveling the non-Hermitian skin effect in dissipative systems

Stefano Longhi

PHYSICAL REVIEW B (2020)

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Article Materials Science, Multidisciplinary

Disorder driven phase transitions in weak AIII topological insulators

Jahan Claes et al.

PHYSICAL REVIEW B (2020)

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Article Materials Science, Multidisciplinary

Unconventional phases in a Haldane model of dice lattice

Bashab Dey et al.

PHYSICAL REVIEW B (2020)

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Article Materials Science, Multidisciplinary

Compact localized states and localization dynamics in the dice lattice

S. M. Zhang et al.

PHYSICAL REVIEW B (2020)

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Article Optics

Predicting large-Chern-number phases in a shaken optical dice lattice

Shujie Cheng et al.

PHYSICAL REVIEW A (2020)

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Article Optics

High-order exceptional points in supersymmetric arrays

S. M. Zhang et al.

PHYSICAL REVIEW A (2020)

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Review Physics, Condensed Matter

New topological invariants in non-Hermitian systems

Ananya Ghatak et al.

JOURNAL OF PHYSICS-CONDENSED MATTER (2019)

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Article Multidisciplinary Sciences

Demonstration of a two-dimensional PT-symmetric crystal

Mark Kremer et al.

NATURE COMMUNICATIONS (2019)

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Review Chemistry, Physical

Parity-time symmetry and exceptional points in photonics

S. K. Ozdemir et al.

NATURE MATERIALS (2019)

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Article Optics

Experimental realization of a Weyl exceptional ring

Alexander Cerjan et al.

NATURE PHOTONICS (2019)

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Article Physics, Multidisciplinary

Sensitivity of parameter estimation near the exceptional point of a non-Hermitian system

Chong Chen et al.

NEW JOURNAL OF PHYSICS (2019)

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Article Physics, Multidisciplinary

Classification of Exceptional Points and Non-Hermitian Topological Semimetals

Kohei Kawabata et al.

PHYSICAL REVIEW LETTERS (2019)

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Article Physics, Multidisciplinary

Non-Hermitian Skin Effect and Chiral Damping in Open Quantum Systems

Fei Song et al.

PHYSICAL REVIEW LETTERS (2019)

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Article Physics, Multidisciplinary

Symmetry and Topology in Non-Hermitian Physics

Kohei Kawabata et al.

PHYSICAL REVIEW X (2019)

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Article Physics, Multidisciplinary

Experimental Observation of Momentum-Space Chiral Edge Currents in Room-Temperature Atoms

Han Cai et al.

PHYSICAL REVIEW LETTERS (2019)

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Review Multidisciplinary Sciences

Exceptional points in optics and photonics

Mohammad-Ali Miri et al.

SCIENCE (2019)

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Article Materials Science, Multidisciplinary

Non-Hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence

Elisabet Edvardsson et al.

PHYSICAL REVIEW B (2019)

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Article Optics

Partial topological Zak phase and dynamical confinement in a non-Hermitian bipartite system

X. Z. Zhang et al.

PHYSICAL REVIEW A (2019)

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Article Materials Science, Multidisciplinary

Anisotropic exceptional points of arbitrary order

Yi-Xin Xiao et al.

PHYSICAL REVIEW B (2019)

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Article Physics, Multidisciplinary

Probing non-Hermitian skin effect and non-Bloch phase transitions

Stefano Longhi

PHYSICAL REVIEW RESEARCH (2019)

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Article Optics

Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps

Fabrizio Minganti et al.

PHYSICAL REVIEW A (2019)

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Review Optics

Non-Hermitian optics in atomic systems

Zhaoyang Zhang et al.

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS (2018)

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Review Physics, Multidisciplinary

Non-Hermitian physics and PT symmetry

Ramy El-Ganainy et al.

NATURE PHYSICS (2018)

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Article Physics, Multidisciplinary

Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems

Flore K. Kunst et al.

PHYSICAL REVIEW LETTERS (2018)

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Editorial Material Multidisciplinary Sciences

Non-Hermitian photonics promises exceptional topology of light

Bikashkali Midya et al.

NATURE COMMUNICATIONS (2018)

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Article Physics, Multidisciplinary

Experimental Observation of Aharonov-Bohm Cages in Photonic Lattices

Sebabrata Mukherjee et al.

PHYSICAL REVIEW LETTERS (2018)

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Article Physics, Multidisciplinary

Experimental Demonstration of an Anisotropic Exceptional Point

Kun Ding et al.

PHYSICAL REVIEW LETTERS (2018)

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Article Physics, Multidisciplinary

Edge States and Topological Invariants of Non-Hermitian Systems

Shunyu Yao et al.

PHYSICAL REVIEW LETTERS (2018)

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Article Physics, Multidisciplinary

Topological states of non-Hermitian systems

V. M. Martinez Alvarez et al.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2018)

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Article Physics, Multidisciplinary

Why does bulk boundary correspondence fail in some non-hermitian topological models

Ye Xiong

JOURNAL OF PHYSICS COMMUNICATIONS (2018)

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Article Materials Science, Multidisciplinary

Non-Hermitian robust edge states in one dimension: Anomalous localization and eigenspace condensation at exceptional points

V. M. Martinez Alvarez et al.

PHYSICAL REVIEW B (2018)

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Article Physics, Multidisciplinary

Topolectrical Circuits

Ching Hua Lee et al.

COMMUNICATIONS PHYSICS (2018)

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Article Multidisciplinary Sciences

Enhanced sensitivity at higher-order exceptional points

Hossein Hodaei et al.

NATURE (2017)

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Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas

Yong Xu et al.

PHYSICAL REVIEW LETTERS (2017)

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Article Physics, Multidisciplinary

Nobel Lecture: Topological quantum matter

F. Duncan et al.

REVIEWS OF MODERN PHYSICS (2017)

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Review Nanoscience & Nanotechnology

Unidirectional reflectionless light propagation at exceptional points

Yin Huang et al.

NANOPHOTONICS (2017)

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Exceptional points in a non-Hermitian topological pump

Wenchao Hu et al.

PHYSICAL REVIEW B (2017)

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Review Physics, Multidisciplinary

Disorder effects in topological states: Brief review of the recent developments

Binglan Wu et al.

CHINESE PHYSICS B (2016)

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Topological energy transfer in an optomechanical system with exceptional points

H. Xu et al.

NATURE (2016)

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Observation of localized flat-band states in Kagome photonic lattices

Yuanyuan Zong et al.

OPTICS EXPRESS (2016)

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Anomalous Edge State in a Non-Hermitian Lattice

Tony E. Lee

PHYSICAL REVIEW LETTERS (2016)

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Article Physics, Multidisciplinary

Emergence, Coalescence, and Topological Properties of Multiple Exceptional Points and Their Experimental Realization

Kun Ding et al.

PHYSICAL REVIEW X (2016)

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Review Multidisciplinary Sciences

Acoustic metamaterials: From local resonances to broad horizons

Guancong Ma et al.

SCIENCE ADVANCES (2016)

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Three-level Haldane-like model on a dice optical lattice

T. Andrijauskas et al.

PHYSICAL REVIEW A (2015)

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Article Materials Science, Multidisciplinary

Non-Hermitian transparency and one-way transport in low-dimensional lattices by an imaginary gauge field

Stefano Longhi et al.

PHYSICAL REVIEW B (2015)

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Article Physics, Multidisciplinary

Observation of a Localized Flat-Band State in a Photonic Lieb Lattice

Sebabrata Mukherjee et al.

PHYSICAL REVIEW LETTERS (2015)

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Observation of Localized States in Lieb Photonic Lattices

Rodrigo A. Vicencio et al.

PHYSICAL REVIEW LETTERS (2015)

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Dielectric microcavities: Model systems for wave chaos and non-Hermitian physics

Hui Cao et al.

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Modification and Control of Topological Insulator Surface States Using Surface Disorder

Vincent Sacksteder et al.

PHYSICAL REVIEW APPLIED (2015)

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Experimental realization of the topological Haldane model with ultracold fermions

Gregor Jotzu et al.

NATURE (2014)

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Article Multidisciplinary Sciences

Single-mode laser by parity-time symmetry breaking

Liang Feng et al.

SCIENCE (2014)

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Parity-time-symmetric microring lasers

Hossein Hodaei et al.

SCIENCE (2014)

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Review Physics, Applied

TOPOLOGICAL FLAT BAND MODELS AND FRACTIONAL CHERN INSULATORS

Emil J. Bergholtz et al.

INTERNATIONAL JOURNAL OF MODERN PHYSICS B (2013)

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Photonic Floquet topological insulators

Mikael C. Rechtsman et al.

NATURE (2013)

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Anderson localization of light

Mordechai Segev et al.

NATURE PHOTONICS (2013)

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The physics of exceptional points

W. D. Heiss

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2012)

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Fate of topological-insulator surface states under strong disorder

Gerald Schubert et al.

PHYSICAL REVIEW B (2012)

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Article Physics, Multidisciplinary

Correlated Phases of Bosons in the Flat Lowest Band of the Dice Lattice

G. Moeller et al.

PHYSICAL REVIEW LETTERS (2012)

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Article Materials Science, Multidisciplinary

Nearly flat band with Chern number C=2 on the dice lattice

Fa Wang et al.

PHYSICAL REVIEW B (2011)

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Exceptional Points in a Microwave Billiard with Time-Reversal Invariance Violation

B. Dietz et al.

PHYSICAL REVIEW LETTERS (2011)

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Unidirectional Invisibility Induced by PT-Symmetric Periodic Structures

Zin Lin et al.

PHYSICAL REVIEW LETTERS (2011)

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Non-equilibrium statistical mechanics: from a paradigmatic model to biological transport

T. Chou et al.

REPORTS ON PROGRESS IN PHYSICS (2011)

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Review Physics, Multidisciplinary

A non-Hermitian Hamilton operator and the physics of open quantum systems

Ingrid Rotter

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Massless Dirac-Weyl fermions in a T3 optical lattice

D. Bercioux et al.

PHYSICAL REVIEW A (2009)

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Topological edge states and quantum Hall effect in the Haldane model

Ningning Hao et al.

PHYSICAL REVIEW B (2008)

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Review Physics, Multidisciplinary

Making sense of non-Hermitian Hamiltonians

Carl M. Bender

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Insulator/chern-insulator transition in the Haldane model

T. Thonhauser et al.

PHYSICAL REVIEW B (2006)

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Article Physics, Multidisciplinary

Quantum spin-hall effect and topologically invariant Chern numbers

D. N. Sheng et al.

PHYSICAL REVIEW LETTERS (2006)

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Exceptional points of non-Hermitian operators

WD Heiss

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL (2004)

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Observation of exceptional points in electronic circuits

T Stehmann et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL (2004)

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Disorder and interactions in Aharonov-Bohm cages -: art. no. 155306

J Vidal et al.

PHYSICAL REVIEW B (2001)

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Article Physics, Multidisciplinary

Experimental observation of the topological structure of exceptional points

C Dembowski et al.

PHYSICAL REVIEW LETTERS (2001)

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Non-Hermiticity induced exceptional points and skin effect in the Haldane model on a dice lattice

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