A second wave of topological phenomena in photonics and acoustics

Observation of Acoustic Non-Hermitian Bloch Braids and Associated Topological Phase Transitions

(2023) Qicheng Zhang et al.   PHYSICAL REVIEW LETTERS

Topological triple phase transition in non-Hermitian Floquet quasicrystals

(2022) Sebastian Weidemann et al.   NATURE

Phonons as a platform for non-Abelian braiding and its manifestation in layered silicates

(2022) Bo Peng et al.   Nature Communications

Experimental Realization of Non-Abelian Permutations in a Three-State Non-Hermitian System

(2022) Weiyuan Tang et al.   National Science Review

Topologically valley-polarized edge states in elastic phononic plates yielded by lattice defects

(2022) Baizhan Xia et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Topological-cavity surface-emitting laser

(2022) Lechen Yang et al.   Nature Photonics

Observation of Degenerate Zero-Energy Topological States at Disclinations in an Acoustic Lattice

(2022) Yuanchen Deng et al.   PHYSICAL REVIEW LETTERS

Fractal photonic topological insulators

(2022) Tobias Biesenthal et al.   SCIENCE

Topological modes in a laser cavity through exceptional state transfer

(2022) A. Schumer et al.   SCIENCE

Measuring the knot of non-Hermitian degeneracies and non-commuting braids

(2022) Yogesh S. S. Patil et al.   NATURE

Non-Abelian Thouless pumping in photonic waveguides

(2022) Yi-Ke Sun et al.   Nature Physics

Experimental Observation of Non-Abelian Earring Nodal Links in Phononic Crystals

(2022) Mudi Wang et al.   PHYSICAL REVIEW LETTERS

Observation of Non-Abelian Thouless Pump

(2022) Oubo You et al.   PHYSICAL REVIEW LETTERS

Bound vortex light in an emulated topological defect in photonic lattices

(2022) Chong Sheng et al.   Light-Science & Applications

Photonic topological insulator induced by a dislocation in three dimensions

(2022) Eran Lustig et al.   NATURE

Three-dimensional non-Abelian quantum holonomy

(2022) Vera Neef et al.   Nature Physics

Trapped fractional charges at bulk defects in topological insulators

(2021) Christopher W. Peterson et al.   NATURE

Bulk–disclination correspondence in topological crystalline insulators

(2021) Yang Liu et al.   NATURE

Electrons broken into pieces at crystal defects

(2021) Carmine Ortix   NATURE

Knots and Non-Hermitian Bloch Bands

(2021) Haiping Hu et al.   PHYSICAL REVIEW LETTERS

Gain-induced topological response via tailored long-range interactions

(2021) Yuzhou G. N. Liu et al.   Nature Physics

Exceptional topology of non-Hermitian systems

(2021) Emil J. Bergholtz et al.   REVIEWS OF MODERN PHYSICS

Topological vortices for sound and light

(2021) Penglin Gao et al.   Nature Nanotechnology

Nanomechanical topological insulators with an auxiliary orbital degree of freedom

(2021) Jingwen Ma et al.   Nature Nanotechnology

Nonlinear tuning of PT symmetry and non-Hermitian topological states

(2021) Shiqi Xia et al.   SCIENCE

Experimental observation of non-Abelian topological charges and edge states

(2021) Qinghua Guo et al.   NATURE

Experimental observation of non-Abelian topological acoustic semimetals and their phase transitions

(2021) Bin Jiang et al.   Nature Physics

Nonlinear second-order photonic topological insulators

(2021) Marco S. Kirsch et al.   Nature Physics

Topological insulator vertical-cavity laser array

(2021) Alex Dikopoltsev et al.   SCIENCE

Non-Hermitian Weyl semimetals: Non-Hermitian skin effect and non-Bloch bulk–boundary correspondence

(2021) Xiaosen Yang et al.   Chinese Physics B

Floquet Edge Multicolor Solitons

(2021) Sergey K. Ivanov et al.   Laser & Photonics Reviews

Non-Hermitian topological whispering gallery

(2021) Bolun Hu et al.   NATURE

Topological complex-energy braiding of non-Hermitian bands

(2021) Kai Wang et al.   NATURE

Classical non-Abelian braiding of acoustic modes

(2021) Ze-Guo Chen et al.   Nature Physics

Observation of Dislocation-Induced Topological Modes in a Three-Dimensional Acoustic Topological Insulator

(2021) Haoran Xue et al.   PHYSICAL REVIEW LETTERS

Four-band non-Abelian topological insulator and its experimental realization

(2021) Tianshu Jiang et al.   Nature Communications

Acoustic non-Hermitian skin effect from twisted winding topology

(2021) Li Zhang et al.   Nature Communications

Dualities and non-Abelian mechanics

(2020) Michel Fruchart et al.   NATURE

Topological Origin of Non-Hermitian Skin Effects

(2020) Nobuyuki Okuma et al.   PHYSICAL REVIEW LETTERS

A square-root topological insulator with non-quantized indices realized with photonic Aharonov-Bohm cages

(2020) Mark Kremer et al.   Nature Communications

Experimental demonstration of acoustic semimetal with topologically charged nodal surface

(2020) Meng Xiao et al.   Science Advances

Fermionic time-reversal symmetry in a photonic topological insulator

(2020) Lukas J. Maczewsky et al.   NATURE MATERIALS

Topological funneling of light

(2020) Sebastian Weidemann et al.   SCIENCE

Observation of Floquet solitons in a topological bandgap

(2020) Sebabrata Mukherjee et al.   SCIENCE

Observation of quadratic Weyl points and double-helicoid arcs

(2020) Hailong He et al.   Nature Communications

Symmetry-enforced three-dimensional Dirac phononic crystals

(2020) Xiangxi Cai et al.   Light-Science & Applications

Non-Abelian reciprocal braiding of Weyl points and its manifestation in ZrTe

(2020) Adrien Bouhon et al.   Nature Physics

Topological Euler Class as a Dynamical Observable in Optical Lattices

(2020) F. Nur Ünal et al.   PHYSICAL REVIEW LETTERS

Observation of Protected Photonic Edge States Induced by Real-Space Topological Lattice Defects

(2020) Qiang Wang et al.   PHYSICAL REVIEW LETTERS

Photonic Floquet topological insulators in a fractal lattice

(2020) Zhaoju Yang et al.   Light-Science & Applications

Nonlinear topological photonics

(2020) Daria Smirnova et al.   Applied Physics Reviews

Realization of the Square-Root Higher-Order Topological Insulator in Electric Circuits

(2020) Lingling Song et al.   NANO LETTERS

Dirac-vortex topological cavities

(2020) Xiaomei Gao et al.   Nature Nanotechnology

Braiding photonic topological zero modes

(2020) Jiho Noh et al.   Nature Physics

Photonic Topological Mode Bound to a Vortex

(2020) Adrian J. Menssen et al.   PHYSICAL REVIEW LETTERS

Exceptional points in optics and photonics

(2019) Mohammad-Ali Miri et al.   SCIENCE

Topological photonics

(2019) Tomoki Ozawa et al.   REVIEWS OF MODERN PHYSICS

Second-order topology and multidimensional topological transitions in sonic crystals

(2019) Xiujuan Zhang et al.   Nature Physics

Parity–time symmetry and exceptional points in photonics

(2019) Ş. K. Özdemir et al.   NATURE MATERIALS

Non-Hermitian Sonic Second-Order Topological Insulator

(2019) Zhiwang Zhang et al.   PHYSICAL REVIEW LETTERS

Nodal rings and drumhead surface states in phononic crystals

(2019) Weiyin Deng et al.   Nature Communications

Zero-energy vortex bound state in the superconducting topological surface state of Fe(Se,Te)

(2019) T. Machida et al.   NATURE MATERIALS

Experimental realization of a Weyl exceptional ring

(2019) Alexander Cerjan et al.   Nature Photonics

Direct Observation of Corner States in Second-Order Topological Photonic Crystal Slabs

(2019) Xiao-Dong Chen et al.   PHYSICAL REVIEW LETTERS

Visualization of Higher-Order Topological Insulating Phases in Two-Dimensional Dielectric Photonic Crystals

(2019) Bi-Ye Xie et al.   PHYSICAL REVIEW LETTERS

Non-Abelian gauge field optics

(2019) Yuntian Chen et al.   Nature Communications

Classification of Exceptional Points and Non-Hermitian Topological Semimetals

(2019) Kohei Kawabata et al.   PHYSICAL REVIEW LETTERS

Nonlinear Second-Order Topological Insulators

(2019) Farzad Zangeneh-Nejad et al.   PHYSICAL REVIEW LETTERS

Synthesis and observation of non-Abelian gauge fields in real space

(2019) Yi Yang et al.   SCIENCE

Non-Abelian band topology in noninteracting metals

(2019) QuanSheng Wu et al.   SCIENCE

Non-Hermitian topological light steering

(2019) Han Zhao et al.   SCIENCE

Mechanical Analogue of a Majorana Bound State

(2019) Chun‐Wei Chen et al.   ADVANCED MATERIALS

Deep‐Subwavelength Holey Acoustic Second‐Order Topological Insulators

(2019) Zhiwang Zhang et al.   ADVANCED MATERIALS

Majorana-like Zero Modes in Kekulé Distorted Sonic Lattices

(2019) Penglin Gao et al.   PHYSICAL REVIEW LETTERS

Observation of a topological nodal surface and its surface-state arcs in an artificial acoustic crystal

(2019) Yihao Yang et al.   Nature Communications

Tunable Nonlinear Topological Insulator for Acoustic Waves

(2019) Amir Darabi et al.   Physical Review Applied

Non-Hermitian physics and PT symmetry

(2018) Ramy El-Ganainy et al.   Nature Physics

Topological Band Theory for Non-Hermitian Hamiltonians

(2018) Huitao Shen et al.   PHYSICAL REVIEW LETTERS

Edge-Mode Lasing in 1D Topological Active Arrays

(2018) Midya Parto et al.   PHYSICAL REVIEW LETTERS

Higher-Order Topological Insulators and Semimetals on the Breathing Kagome and Pyrochlore Lattices

(2018) Motohiko Ezawa   PHYSICAL REVIEW LETTERS

Observation of bulk Fermi arc and polarization half charge from paired exceptional points

(2018) Hengyun Zhou et al.   SCIENCE

Topological insulator laser: Theory

(2018) Gal Harari et al.   SCIENCE

Topological insulator laser: Experiments

(2018) Miguel A. Bandres et al.   SCIENCE

Experimental observation of photonic nodal line degeneracies in metacrystals

(2018) Wenlong Gao et al.   Nature Communications

Topological hybrid silicon microlasers

(2018) Han Zhao et al.   Nature Communications

Observation of a phononic quadrupole topological insulator

(2018) Marc Serra-Garcia et al.   NATURE

A quantized microwave quadrupole insulator with topologically protected corner states

(2018) Christopher W. Peterson et al.   NATURE

Topolectrical-circuit realization of topological corner modes

(2018) Stefan Imhof et al.   Nature Physics

Photonics meets topology

(2018) Bi-Ye Xie et al.   OPTICS EXPRESS

Edge States and Topological Invariants of Non-Hermitian Systems

(2018) Shunyu Yao et al.   PHYSICAL REVIEW LETTERS

Acoustic higher-order topological insulator on a kagome lattice

(2018) Haoran Xue et al.   NATURE MATERIALS

Observation of higher-order topological acoustic states protected by generalized chiral symmetry

(2018) Xiang Ni et al.   NATURE MATERIALS

Lasing in topological edge states of a one-dimensional lattice

(2017) P. St-Jean et al.   Nature Photonics

Weyl points and Fermi arcs in a chiral phononic crystal

(2017) Feng Li et al.   Nature Physics

Topologically protected refraction of robust kink states in valley photonic crystals

(2017) Fei Gao et al.   Nature Physics

Quantized electric multipole insulators

(2017) Wladimir A. Benalcazar et al.   SCIENCE

Nonreciprocal lasing in topological cavities of arbitrary geometries

(2017) Babak Bahari et al.   SCIENCE

Nodal-chain metals

(2016) Tomáš Bzdušek et al.   NATURE

Topologically protected bound states in photonic parity–time-symmetric crystals

(2016) S. Weimann et al.   NATURE MATERIALS

Valley photonic crystals for control of spin and topology

(2016) Jian-Wen Dong et al.   NATURE MATERIALS

Observation of topological valley transport of sound in sonic crystals

(2016) Jiuyang Lu et al.   Nature Physics

Acoustic topological insulator and robust one-way sound transport

(2016) Cheng He et al.   Nature Physics

Edge Solitons in Nonlinear-Photonic Topological Insulators

(2016) Daniel Leykam et al.   PHYSICAL REVIEW LETTERS

Valley Vortex States in Sonic Crystals

(2016) Jiuyang Lu et al.   PHYSICAL REVIEW LETTERS

Photonic topological insulator with broken time-reversal symmetry

(2016) Cheng He et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Classification of topological quantum matter with symmetries

(2016) Ching-Kai Chiu et al.   REVIEWS OF MODERN PHYSICS

Floquet topological insulators for sound

(2016) Romain Fleury et al.   Nature Communications

Controlling sound with acoustic metamaterials

(2016) Steven A. Cummer et al.   Nature Reviews Materials

Synthetic gauge flux and Weyl points in acoustic systems

(2015) Meng Xiao et al.   Nature Physics

Topologically protected one-way edge mode in networks of acoustic resonators with circulating air flow

(2015) Xu Ni et al.   NEW JOURNAL OF PHYSICS

Guiding Electromagnetic Waves around Sharp Corners: Topologically Protected Photonic Transport in Metawaveguides

(2015) Tzuhsuan Ma et al.   PHYSICAL REVIEW LETTERS

Observation of a Topological Transition in the Bulk of a Non-Hermitian System

(2015) Julia M. Zeuner et al.   PHYSICAL REVIEW LETTERS

Scheme for Achieving a Topological Photonic Crystal by Using Dielectric Material

(2015) Long-Hua Wu et al.   PHYSICAL REVIEW LETTERS

Topological Acoustics

(2015) Zhaoju Yang et al.   PHYSICAL REVIEW LETTERS

Experimental observation of Weyl points

(2015) L. Lu et al.   SCIENCE

Selective enhancement of topologically induced interface states in a dielectric resonator chain

(2015) Charles Poli et al.   Nature Communications

Topologically robust sound propagation in an angular-momentum-biased graphene-like resonator lattice

(2015) Alexander B. Khanikaev et al.   Nature Communications

Topologically protected elastic waves in phononic metamaterials

(2015) S. Hossein Mousavi et al.   Nature Communications

Topological photonics

(2014) Ling Lu et al.   Nature Photonics

Interplay between electronic topology and crystal symmetry: Dislocation-line modes in topological band insulators

(2014) Robert-Jan Slager et al.   PHYSICAL REVIEW B

Sound Isolation and Giant Linear Nonreciprocity in a Compact Acoustic Circulator

(2014) R. Fleury et al.   SCIENCE

Photonic Floquet topological insulators

(2013) Mikael C. Rechtsman et al.   NATURE

Weyl points and line nodes in gyroid photonic crystals

(2013) Ling Lu et al.   Nature Photonics

Topologically protected midgap states in complex photonic lattices

(2013) Henning Schomerus   OPTICS LETTERS

Existence of Majorana-Fermion Bound States on Disclinations and the Classification of Topological Crystalline Superconductors in Two Dimensions

(2013) Jeffrey C. Y. Teo et al.   PHYSICAL REVIEW LETTERS

Photonic topological insulators

(2012) Alexander B. Khanikaev et al.   NATURE MATERIALS

Strain-induced pseudomagnetic field and photonic Landau levels in dielectric structures

(2012) Mikael C. Rechtsman et al.   Nature Photonics

Topological Crystalline Insulators

(2011) Liang Fu   PHYSICAL REVIEW LETTERS

Topological insulators and superconductors

(2011) Xiao-Liang Qi et al.   REVIEWS OF MODERN PHYSICS

Electronic transport in polycrystalline graphene

(2010) Oleg V. Yazyev et al.   NATURE MATERIALS

Topological defects and gapless modes in insulators and superconductors

(2010) Jeffrey C. Y. Teo et al.   PHYSICAL REVIEW B

Gauge fields in graphene

(2010) M.A.H. Vozmediano et al.   PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS

Colloquium: Topological insulators

(2010) M. Z. Hasan et al.   REVIEWS OF MODERN PHYSICS

Observation of unidirectional backscattering-immune topological electromagnetic states

(2009) Zheng Wang et al.   NATURE

One-dimensional topologically protected modes in topological insulators with lattice dislocations

(2009) Ying Ran et al.   Nature Physics

Classification of topological insulators and superconductors in three spatial dimensions

(2008) Andreas P. Schnyder et al.   PHYSICAL REVIEW B

Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry

(2008) F. D. M. Haldane et al.   PHYSICAL REVIEW LETTERS

Non-Abelian anyons and topological quantum computation

(2008) Chetan Nayak et al.   REVIEWS OF MODERN PHYSICS