Quantized charge-pumping in higher-order topological insulators

BL Wu, AM Guo, ZQ Zhang, H Jiang - Physical Review B, 2022 - APS
We study the quantized charge pumping of higher-order topological insulators (HOTIs) with
edge-corner correspondences based on the combination of the rotation of in-plane magnetic …

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 …

Non-Hermitian skin effect enforced by nonsymmorphic symmetries

Y Tanaka, R Takahashi, R Okugawa - Physical Review B, 2024 - APS
Crystal symmetries play an essential role in band structures of non-Hermitian Hamiltonians.
In this paper, we propose a non-Hermitian skin effect (NHSE) enforced by nonsymmorphic …

Crystalline electromagnetic responses of higher-order topological semimetals

MR Hirsbrunner, AD Gray, TL Hughes - Physical Review B, 2024 - APS
Previous work has shown that time-reversal symmetric Weyl semimetals with a quadrupolar
arrangement of first-order Weyl nodes exhibit a mixed crystalline-electromagnetic response …

Composite topological phases via Floquet engineering

H Wu - Physical Review B, 2023 - APS
The hybridization of different topological phases is attractive because it can facilitate the
simultaneous utilization of their respective advantages. Three-dimensional (3D) higher …

Nonsymmorphic-symmetry-enforced non-Hermitian skin effects

Y Tanaka, R Takahashi, R OKugawa - arXiv preprint arXiv:2306.08923, 2023 - arxiv.org
Crystal symmetries play an essential role in band structures of non-Hermitian Hamiltonian.
In this letter, we propose a non-Hermitian skin effect (NHSE) enforced by nonsymmorphic …

Multi higher-order Dirac and Weyl semimetals

A Pal, AK Ghosh - arXiv preprint arXiv:2408.17152, 2024 - arxiv.org
In recent years, there has been a surge of interest in exploring higher-order topology and
their semi-metallic counterparts, particularly in the context of Dirac and Weyl semimetals …

Band topology beyond symmetry eigenvalues with applications to electronic and phononic systems

G Lange - 2023 - repository.cam.ac.uk
Topology and physics share a long and eminent history. In this dissertation, we apply the
tools of topology to study the physics of electrons and phonons in periodic media. The …