Second-order topological non-Hermitian skin effects

R Okugawa, R Takahashi, K Yokomizo - Physical Review B, 2020 - APS
Higher-order topology realizes topologically robust corner modes as a manifestation of
nontriviality. We theoretically propose non-Hermitian skin effects which stem from the …

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 …

Non-Hermitian band topology with generalized inversion symmetry

R Okugawa, R Takahashi, K Yokomizo - Physical Review B, 2021 - APS
Non-Hermitian skin effects and exceptional points are topological phenomena characterized
by integer winding numbers. In this study, we give methods to theoretically detect skin effects …

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

M Jung, Y Yu, G Shvets - Physical Review B, 2021 - APS
We demonstrate that the presence of a localized state at the corner of an insulating domain
is not always a predictor nor a direct consequence of a certain nontrivial higher-order …

Chiral hinge magnons in second-order topological magnon insulators

A Mook, SA Díaz, J Klinovaja, D Loss - Physical Review B, 2021 - APS
When interacting spins in condensed matter order ferromagnetically, their ground-state
wave function is topologically trivial. Nonetheless, in two dimensions, ferromagnets can …

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 …

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 …

Axionic band topology in inversion-symmetric Weyl-charge-density waves

BJ Wieder, KS Lin, B Bradlyn - Physical Review Research, 2020 - APS
In recent theoretical and experimental investigations, researchers have linked the low-
energy field theory of a Weyl semimetal gapped with a charge-density wave (CDW) to high …

Tutorial 2.0: computing topological invariants in 3D photonic crystals

C Devescovi, A Morales-Pérez… - Optical Materials …, 2024 - opg.optica.org
The field of topological photonics has been on the rise due to its versatility in manufacturing
and its applications as topological lasers or unidirectional waveguides. Contrary to 1D or 2D …

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 …