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 …

Helical liquids in semiconductors

CH Hsu, P Stano, J Klinovaja… - … Science and Technology, 2021 - iopscience.iop.org
One-dimensional helical liquids can appear at boundaries of certain condensed matter
systems. Two prime examples are the edge of a quantum spin Hall insulator and the hinge …

Non-Hermitian second-order skin and topological modes

Y Fu, J Hu, S Wan - Physical Review B, 2021 - APS
The skin effect and topological edge states in non-Hermitian systems have been well
studied, and the second-order skin effect and corner modes have also been proposed in …

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 …

Anatomy of open-boundary bulk in multiband non-Hermitian systems

Y Fu, Y Zhang - Physical Review B, 2023 - APS
Although the non-Bloch band theory is a milestone in elaborating bulk energy bands of non-
Hermitian systems under the open-boundary condition (OBC), vital issues related to …

Higher order topological insulator via periodic driving

AK Ghosh, GC Paul, A Saha - Physical Review B, 2020 - APS
We theoretically investigate a periodically driven semimetal based on a square lattice. The
possibility of engineering both a Floquet topological insulator featuring Floquet edge states …

Higher-order topological insulator phase in a modified Haldane model

B Wang, X Zhou, H Lin, A Bansil - Physical Review B, 2021 - APS
We explore the topological properties of a modified Haldane model (MHM) in which the
strength of the nearest-neighbor and next-nearest-neighbor hopping terms is made unequal …

Engineering Second‐Order Corner States in 2D Multiferroics

Y Bai, N Mao, R Li, Y Dai, B Huang, C Niu - Small, 2023 - Wiley Online Library
The understanding and manipulate of the second‐order corner states are central to both
fundamental physics and future topotronics applications. Despite the fact that numerous …

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 …

Bulk-edge and bulk-hinge correspondence in inversion-symmetric insulators

R Takahashi, Y Tanaka, S Murakami - Physical Review Research, 2020 - APS
We show that a slab of a three-dimensional inversion-symmetric higher-order topological
insulator (HOTI) in class A is a 2D Chern insulator, and that in class AII is a 2D Z 2 …