4.8 Article

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

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Materials Science, Multidisciplinary

Universal higher-order bulk-boundary correspondence of triple nodal points

Patrick M. Lenggenhager et al.

Summary: This paper investigates the boundary signatures of triple nodal points and reveals their connection with higher-order topology. The authors propose models based on the fractional jumps of the hinge charge to characterize the triple nodal points.

PHYSICAL REVIEW B (2022)

Article Optics

Intrinsic in-plane nodal chain and generalized quaternion charge protected nodal link in photonics

Dongyang Wang et al.

Summary: This study demonstrates an in-plane nodal chain and nodal link in photonics, with experimental verification through near-field scanning measurements of bi-anisotropic metamaterials.

LIGHT-SCIENCE & APPLICATIONS (2021)

Article Multidisciplinary Sciences

Experimental observation of non-Abelian topological charges and edge states

Qinghua Guo et al.

Summary: Experimental observation of non-Abelian topological charges and edge states in a PT-symmetric transmission line network, along with the discovery of a non-Abelian quotient relation for the bulk-edge correspondence. This new topological property opens up possibilities for intriguing observable phenomena in the field of material science.

NATURE (2021)

Article Physics, Multidisciplinary

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

Bin Jiang et al.

Summary: The research explores non-Abelian band topology in acoustic semimetals using a tunable kagome model, demonstrating topological transitions induced by controlling the geometry of metamaterials and the braiding of different band nodes. The study reveals the underlying rules for the conversion and transfer of non-Abelian topological charges in multiple bandgaps, providing insights for studies on multi-band topological semimetals and out-of-equilibrium systems.

NATURE PHYSICS (2021)

Article Materials Science, Multidisciplinary

Twisted bilayer graphene. II. Stable symmetry anomaly

Zhi-Da Song et al.

Summary: The continuous model of twisted bilayer graphene (TBG) is shown to be anomalous and incompatible with lattice models, with numerical confirmation of an approximate particle-hole symmetry and stable topology. This stable topology implies the existence of 4l + 2 Dirac points, protected against arbitrary gap closings, and cannot be realized in lattice models that preserve both C2zT and P symmetries. Additionally, other topology related topics and their implications for interacting TBG problems are discussed.

PHYSICAL REVIEW B (2021)

Article Materials Science, Multidisciplinary

From triple-point materials to multiband nodal links

Patrick M. Lenggenhager et al.

Summary: This study focuses on topological materials with triple points in their band structure, particularly in PT-symmetric crystalline solids with negligible spin-orbit coupling. Through non-Abelian band topology, the transformation of type-A triple points to multiband nodal links is explored, with the compound Li2NaN identified as an ideal candidate for further research on this phenomenon.

PHYSICAL REVIEW B (2021)

Article Physics, Multidisciplinary

Non-Hermitian non-Abelian topological insulators with PT symmetry

Motohiko Ezawa

Summary: In this study, a non-Hermitian non-Abelian topological insulator was investigated, showing a spontaneous PT symmetry breaking transition in the presence of nonreciprocal hoppings. The introduction of a band bending term led to two phase transitions, with a metallic phase emerging between the two topological insulator phases. The realization of non-Hermitian non-Abelian topological insulators in electric circuits was discussed, with impedance resonance effectively observing the spontaneous PT symmetry breaking and edge states.

PHYSICAL REVIEW RESEARCH (2021)

Article Multidisciplinary Sciences

A single photonic cavity with two independent physical synthetic dimensions

Avik Dutt et al.

SCIENCE (2020)

Article Physics, Multidisciplinary

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

Adrien Bouhon et al.

NATURE PHYSICS (2020)

Article Physics, Multidisciplinary

Topological Euler Class as a Dynamical Observable in Optical Lattices

F. Nur Unal et al.

PHYSICAL REVIEW LETTERS (2020)

Article Physics, Multidisciplinary

Observation of Non-Abelian Nodal Links in Photonics

Erchan Yang et al.

PHYSICAL REVIEW LETTERS (2020)

Article Materials Science, Multidisciplinary

Geometric approach to fragile topology beyond symmetry indicators

Adrien Bouhon et al.

PHYSICAL REVIEW B (2020)

Article Materials Science, Multidisciplinary

Non-Abelian topology of nodal-line rings in PT-symmetric systems

Apoorv Tiwari et al.

PHYSICAL REVIEW B (2020)

Review Physics, Multidisciplinary

Topological photonics

Tomoki Ozawa et al.

REVIEWS OF MODERN PHYSICS (2019)

Article Physics, Multidisciplinary

Observation of Three-Dimensional Photonic Dirac Points and Spin-Polarized Surface Arcs

Qinghua Guo et al.

PHYSICAL REVIEW LETTERS (2019)

Article Multidisciplinary Sciences

Non-Abelian band topology in noninteracting metals

QuanSheng Wu et al.

SCIENCE (2019)

Review Physics, Applied

Topological phases in acoustic and mechanical systems

Guancong Ma et al.

NATURE REVIEWS PHYSICS (2019)

Article Physics, Multidisciplinary

Weyl and Dirac semimetals in three-dimensional solids

N. P. Armitage et al.

REVIEWS OF MODERN PHYSICS (2018)

Article Physics, Multidisciplinary

Topological circuits of inductors and capacitors

Erhai Zhao

ANNALS OF PHYSICS (2018)

Article Mathematics, Applied

On Cayley's Factorization of 4D Rotations and Applications

Alba Perez-Gracia et al.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS (2017)

Article Engineering, Electrical & Electronic

The geometry of proper quaternion random variables

Nicolas Le Bihan

SIGNAL PROCESSING (2017)

Article Physics, Multidisciplinary

Classification of topological quantum matter with symmetries

Ching-Kai Chiu et al.

REVIEWS OF MODERN PHYSICS (2016)

Article Materials Science, Multidisciplinary

Effective response theory for zero-energy Majorana bound states in three spatial dimensions

Pedro L. e S. Lopes et al.

PHYSICAL REVIEW B (2015)

Review Physics, Condensed Matter

Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials

Yoichi Ando et al.

ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 6 (2015)

Article Multidisciplinary Sciences

Photonic Floquet topological insulators

Mikael C. Rechtsman et al.

NATURE (2013)

Article Optics

Imaging topological edge states in silicon photonics

M. Hafezi et al.

NATURE PHOTONICS (2013)

Article Physics, Multidisciplinary

Topological insulators and superconductors

Xiao-Liang Qi et al.

REVIEWS OF MODERN PHYSICS (2011)

Article Physics, Multidisciplinary

Colloquium: Topological insulators

M. Z. Hasan et al.

REVIEWS OF MODERN 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)