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 …

Unsupervised data-driven classification of topological gapped systems with symmetries

Y Long, B Zhang - Physical Review Letters, 2023 - APS
A remarkable breakthrough in topological phase classification is the establishment of the
topological periodic table, which is mainly based on the classifying space analysis or K …

Axion topology in photonic crystal domain walls

C Devescovi, A Morales-Pérez, Y Hwang… - Nature …, 2024 - nature.com
Axion insulators are 3D magnetic topological insulators supporting hinge states and
quantized magnetoelectric effects, recently proposed for detecting dark-matter axionic …

First-principles discovery of novel quantum physics and materials: From theory to experiment

Y Li, Y Xu - Computational Materials Science, 2021 - Elsevier
Modern material science has been revolutionized by the discovery of novel topological
states of quantum matter, which sheds new lights on solving long-standing scientific …

Antichiral edge states and hinge states based on the Haldane model

X Cheng, J Chen, L Zhang, L Xiao, S Jia - Physical Review B, 2021 - APS
Different from the chiral edge states, antichiral edge states propagating in the same direction
on the opposite edges are theoretically proposed based on the modified Haldane model …

Bulk-hinge correspondence and three-dimensional quantum anomalous Hall effect in second-order topological insulators

B Fu, ZA Hu, SQ Shen - Physical Review Research, 2021 - APS
The chiral hinge modes are the key feature of a second-order topological insulator in three
dimensions. Here we propose a quadrupole index in combination of a slab Chern number in …

Suppression of axionic charge density wave and onset of superconductivity in the chiral Weyl semimetal

QG Mu, D Nenno, YP Qi, FR Fan, C Pei… - Physical Review …, 2021 - APS
A Weyl semimetal with strong electron-phonon interaction can show axionic coupling in its
insulator state at low temperatures, owing to the formation of a charge density wave (CDW) …

Hinge spin polarization in magnetic topological insulators revealed by resistance switch

PM Perez-Piskunow, S Roche - Physical Review Letters, 2021 - APS
We report on the possibility of detecting hinge spin polarization in magnetic topological
insulators by resistance measurements. By implementing a three-dimensional model of …

Rotoinversion-symmetric bulk-hinge correspondence and its applications to higher-order Weyl semimetals

Y Tanaka, R Takahashi, R Okugawa, S Murakami - Physical Review B, 2022 - APS
We give a bulk-hinge correspondence for higher-order topological phases protected by
rotoinversion C 4 I symmetry in magnetic systems. Our approach allows us to show the …

Effects of first-and second-order topological phases on equilibrium crystal shapes

Y Tanaka, S Murakami - Physical Review B, 2023 - APS
We study equilibrium crystal shapes of a topological insulator (TI), a topological crystalline
insulator (TCI) protected by mirror symmetry, and a second-order topological insulator …