Higher-order topological phases in crystalline and non-crystalline systems: a review

YB Yang, JH Wang, K Li, Y Xu - Journal of Physics: Condensed …, 2024 - iopscience.iop.org
Higher-order topological phases in crystalline and non-crystalline systems: a review Page 1
Journal of Physics: Condensed Matter ACCEPTED MANUSCRIPT • OPEN ACCESS Higher-order …

General corner charge formula in two-dimensional -symmetric higher-order topological insulators

R Takahashi, T Zhang, S Murakami - Physical Review B, 2021 - APS
In this paper, we derive a general formula for the quantized fractional corner charge in two-
dimensional C n-symmetric higher-order topological insulators. We assume that the …

Bound states at partial dislocation defects in multipole higher-order topological insulators

SS Yamada, T Li, M Lin, CW Peterson… - Nature …, 2022 - nature.com
The bulk-boundary correspondence, which links a bulk topological property of a material to
the existence of robust boundary states, is a hallmark of topological insulators. However, in …

Filling anomaly for general two- and three-dimensional symmetric lattices

Y Fang, J Cano - Physical Review B, 2021 - APS
In this paper, we derive symmetry indicator formulas for the filling anomaly on two-
dimensional (2D) C 4 symmetric square lattices with and without time reversal, inversion …

Thouless pumps and bulk-boundary correspondence in higher-order symmetry-protected topological phases

JF Wienand, F Horn, M Aidelsburger, J Bibo… - Physical Review Letters, 2022 - APS
The bulk-boundary correspondence relates quantized edge states to bulk topological
invariants in topological phases of matter. In one-dimensional symmetry-protected …

-band Hopf insulator

B Lapierre, T Neupert, L Trifunovic - Physical Review Research, 2021 - APS
We study the generalization of the three-dimensional two-band Hopf insulator to the case of
many bands, where all the bands are separated from each other by band gaps. The …

Multiband quadrupole topological photonic crystals with glide symmetries

O Kang-Hyok, KH Kim - Optics & Laser Technology, 2024 - Elsevier
Disorder-immune corner states in quadrupole topological photonic crystals (QTPCs) have
recently attracted great attention in the community of photonics. Up to date, however …

Fractional corner charge of sodium chloride

H Watanabe, HC Po - Physical Review X, 2021 - APS
Recent developments in higherorder topological phases have revealed the relationship
between nontrivial multipole moments in the bulk and the emergence of fractionally …

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 …

Topological edge and corner states and fractional corner charges in blue phosphorene

T Tani, M Hitomi, T Kawakami, M Koshino - Physical Review B, 2022 - APS
We theoretically study emergent edge and corner states in monolayer blue phosphorus
(blue phosphorene) using the first-principles calculation and tight-binding model. We show …