4.6 Article

Exact higher-order bulk-boundary correspondence of corner-localized states

Related references

Note: Only part of the references are listed.
Article Chemistry, Multidisciplinary

Near-Field Characterization of Higher-Order Topological Photonic States at Optical Frequencies

Anton Vakulenko et al.

Summary: This study introduces a new mechanism for establishing all-dielectric infrared HOTI metasurfaces, showing two types of HOTI states and observing the topological transition and emergence of HOTI states through experiments. The proposed all-dielectric HOTI metasurface offers a new approach to confine the optical field in micro- and nano-scale topological cavities.

ADVANCED MATERIALS (2021)

Article Optics

Low-threshold topological nanolasers based on the second-order corner state

Weixuan Zhang et al.

LIGHT-SCIENCE & APPLICATIONS (2020)

Article Nanoscience & Nanotechnology

Lasing at Multidimensional Topological States in a Two-Dimensional Photonic Crystal Structure

Changhyun Han et al.

ACS PHOTONICS (2020)

Article Multidisciplinary Sciences

A fractional corner anomaly reveals higher-order topology

Christopher W. Peterson et al.

SCIENCE (2020)

Article Multidisciplinary Sciences

Quadrupole topological photonic crystals

Li He et al.

NATURE COMMUNICATIONS (2020)

Article Chemistry, Multidisciplinary

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

Lingling Song et al.

NANO LETTERS (2020)

Article Physics, Multidisciplinary

Observation of a Higher-Order Topological Bound State in the Continuum

Alexander Cerjan et al.

PHYSICAL REVIEW LETTERS (2020)

Article Physics, Multidisciplinary

Observation of symmetry-protected zero modes in topolectrical circuits

Huanhuan Yang et al.

PHYSICAL REVIEW RESEARCH (2020)

Article Physics, Multidisciplinary

Bulk-edge and bulk-hinge correspondence in inversion-symmetric insulators

Ryo Takahashi et al.

PHYSICAL REVIEW RESEARCH (2020)

Article Nanoscience & Nanotechnology

Topological edge and corner states in a two-dimensional photonic Su-Schrieffer-Heeger lattice

Minkyung Kim et al.

NANOPHOTONICS (2020)

Article Materials Science, Multidisciplinary

Bound states in the continuum of higher-order topological insulators

Wladimir A. Benalcazar et al.

PHYSICAL REVIEW B (2020)

Article Materials Science, Multidisciplinary

Higher-order topological phases in a spring-mass model on a breathing kagome lattice

Hiromasa Wakao et al.

PHYSICAL REVIEW B (2020)

Article Physics, Multidisciplinary

Second-Order Topological Phases in Non-Hermitian Systems

Tao Liu et al.

PHYSICAL REVIEW LETTERS (2019)

Article Physics, Multidisciplinary

Non-Hermitian Sonic Second-Order Topological Insulator

Zhiwang Zhang et al.

PHYSICAL REVIEW LETTERS (2019)

Article Optics

Photonic quadrupole topological phases

Sunil Mittal et al.

NATURE PHOTONICS (2019)

Article Physics, Multidisciplinary

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

Xiao-Dong Chen et al.

PHYSICAL REVIEW LETTERS (2019)

Article Physics, Multidisciplinary

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

Bi-Ye Xie et al.

PHYSICAL REVIEW LETTERS (2019)

Article Physics, Multidisciplinary

Realization of an Acoustic Third-Order Topological Insulator

Haoran Xue et al.

PHYSICAL REVIEW LETTERS (2019)

Article Chemistry, Physical

Robust zero-energy modes in an electronic higher-order topological insulator

S. N. Kempkes et al.

NATURE MATERIALS (2019)

Article Chemistry, Multidisciplinary

Deep-Subwavelength Holey Acoustic Second-Order Topological Insulators

Zhiwang Zhang et al.

ADVANCED MATERIALS (2019)

Article Physics, Multidisciplinary

Higher-Order Topological Mott Insulators

Koji Kudo et al.

PHYSICAL REVIEW LETTERS (2019)

Article Chemistry, Physical

Higher-order topological solitonic insulators

Zhixiong Li et al.

NPJ COMPUTATIONAL MATERIALS (2019)

Article Chemistry, Physical

Acoustic higher-order topological insulator on a kagome lattice

Haoran Xue et al.

NATURE MATERIALS (2019)

Article Physics, Multidisciplinary

Higher-Order Bulk-Boundary Correspondence for Topological Crystalline Phases

Luka Trifunovic et al.

PHYSICAL REVIEW X (2019)

Article Materials Science, Multidisciplinary

Quantization of fractional corner charge in Cn-symmetric higher-order topological crystalline insulators

Wladimir A. Benalcazar et al.

PHYSICAL REVIEW B (2019)

Article Materials Science, Multidisciplinary

Embedded topological insulators

Thomas Tuegel et al.

PHYSICAL REVIEW B (2019)

Article Optics

Topological protection of photonic mid-gap defect modes

Jiho Noh et al.

NATURE PHOTONICS (2018)

Article Physics, Multidisciplinary

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

Motohiko Ezawa

PHYSICAL REVIEW LETTERS (2018)

Article Multidisciplinary Sciences

Higher-order topological insulators

Frank Schindler et al.

SCIENCE ADVANCES (2018)

Article Multidisciplinary Sciences

Observation of a phononic quadrupole topological insulator

Marc Serra-Garcia et al.

NATURE (2018)

Article Multidisciplinary Sciences

A quantized microwave quadrupole insulator with topologically protected corner states

Christopher W. Peterson et al.

NATURE (2018)

Article Physics, Multidisciplinary

Higher-order topology in bismuth

Frank Schindler et al.

NATURE PHYSICS (2018)

Article Materials Science, Multidisciplinary

Second-order topological insulators and superconductors with an order-two crystalline symmetry

Max Geier et al.

PHYSICAL REVIEW B (2018)

Article Materials Science, Multidisciplinary

Second-order photonic topological insulator with corner states

Bi-Ye Xie et al.

PHYSICAL REVIEW B (2018)

Article Physics, Multidisciplinary

Reflection-Symmetric Second-Order Topological Insulators and Superconductors

Josias Langbehn et al.

PHYSICAL REVIEW LETTERS (2017)

Article Physics, Multidisciplinary

(d-2)-Dimensional Edge States of Rotation Symmetry Protected Topological States

Zhida Song et al.

PHYSICAL REVIEW LETTERS (2017)

Article Multidisciplinary Sciences

Quantized electric multipole insulators

Wladimir A. Benalcazar et al.

SCIENCE (2017)

Article Materials Science, Multidisciplinary

Excess charges as a probe of one-dimensional topological crystalline insulating phases

Guido van Miert et al.

PHYSICAL REVIEW B (2017)

Article Materials Science, Multidisciplinary

Electric multipole moments, topological multipole moment pumping, and chiral hinge states in crystalline insulators

Wladimir A. Benalcazar et al.

PHYSICAL REVIEW B (2017)

Article Physics, Multidisciplinary

Geometric phase and band inversion in periodic acoustic systems

Meng Xiao et al.

NATURE PHYSICS (2015)

Article Materials Science, Multidisciplinary

Topology of crystalline insulators and superconductors

Ken Shiozaki et al.

PHYSICAL REVIEW B (2014)

Article Physics, Mathematical

Bulk-Edge Correspondence for Two-Dimensional Topological Insulators

Gian Michele Graf et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2013)

Article Physics, Multidisciplinary

Model Characterization of Gapless Edge Modes of Topological Insulators Using Intermediate Brillouin-Zone Functions

Lukasz Fidkowski et al.

PHYSICAL REVIEW LETTERS (2011)

Article Physics, Multidisciplinary

Topological insulators and superconductors: tenfold way and dimensional hierarchy

Shinsei Ryu et al.

NEW JOURNAL OF PHYSICS (2010)

Article Materials Science, Multidisciplinary

Classification of topological insulators and superconductors in three spatial dimensions

Andreas P. Schnyder et al.

PHYSICAL REVIEW B (2008)