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

B Peng, A Bouhon, B Monserrat, RJ Slager - Nature Communications, 2022 - nature.com
Topological phases of matter have revolutionised the fundamental understanding of band
theory and hold great promise for next-generation technologies such as low-power …

[HTML][HTML] Three-dimensional photonic topological insulator without spin–orbit coupling

M Kim, Z Wang, Y Yang, HT Teo, J Rho… - Nature …, 2022 - nature.com
Spin–orbit coupling, a fundamental mechanism underlying topological insulators, has been
introduced to construct the latter's photonic analogs, or photonic topological insulators …

Dominance of Extrinsic Scattering Mechanisms in the Orbital Hall Effect: Graphene, Transition Metal Dichalcogenides, and Topological Antiferromagnets

H Liu, D Culcer - Physical Review Letters, 2024 - APS
The theory of the orbital Hall effect (OHE), a transverse flow of orbital angular momentum
(OAM) in response to an electric field, has concentrated on intrinsic mechanisms. Here …

Bulk-edge correspondence of Stiefel-Whitney and Euler insulators through the entanglement spectrum and cutting procedure

R Takahashi, T Ozawa - Physical Review B, 2023 - APS
We propose an unconventional bulk-edge correspondence for two-dimensional Stiefel-
Whitney insulators and Euler insulators, which are topological insulators protected by the PT …

Orbital angular momentum of Bloch electrons: equilibrium formulation, magneto-electric phenomena, and the orbital Hall effect

R Burgos Atencia, A Agarwal, D Culcer - Advances in Physics: X, 2024 - Taylor & Francis
The investigation of orbital angular momentum (OAM) of delocalised Bloch electrons has
advanced our understanding of magnetic, transport, and optical phenomena in crystals …

Homotopic classification of band structures: Stable, fragile, delicate, and stable representation-protected topology

PW Brouwer, V Dwivedi - Physical Review B, 2023 - APS
The topological classification of gapped band structures depends on the particular definition
of topological equivalence. For translation-invariant systems, stable equivalence is defined …

[HTML][HTML] Coexistence of all-order topological states in a three-dimensional phononic topological crystalline insulator

HS Lai, H Chen, CH Xia, SY Yu, C He, YF Chen - Research, 2023 - spj.science.org
Classical-wave topological materials lacking intrinsic half-integer spins are less robust while
more tunable. Here, we explore a single 3-dimensional phononic topological crystalline …

Orbital angular momentum of Bloch electrons: equilibrium formulation, magneto-electric phenomena, and the orbital Hall effect

RB Atencia, A Agarwal, D Culcer - arXiv preprint arXiv:2403.07055, 2024 - arxiv.org
The investigation of orbital angular momentum (OAM) of delocalised Bloch electrons has
significantly advanced our understanding of magnetic, transport, and optical phenomena in …

Tailoring the surface and interface states in a three-dimensional fragile topological insulator with kagome lattice

B Xie, H Liu, H Wang, H Cheng, J Tian, Z Liu, S Chen - Physical Review B, 2022 - APS
Topological insulators, which are insulating in the bulk and conducting on the surface, have
attracted great interest in recent years. The recently discovered topological surface and …

Non-Bloch band theory of subsymmetry-protected topological phases

S Verma, MJ Park - Physical Review B, 2024 - APS
Bulk-boundary correspondence (BBC) of symmetry-protected topological (SPT) phases
relates the nontrivial topological invariant of the bulk to the number of topologically protected …