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 …

Hofstadter topology with real space invariants and reentrant projective symmetries

J Herzog-Arbeitman, ZD Song, L Elcoro, BA Bernevig - Physical review letters, 2023 - APS
Adding magnetic flux to a band structure breaks Bloch's theorem by realizing a projective
representation of the translation group. The resulting Hofstadter spectrum encodes the …

Magnetic Bloch theorem and reentrant flat bands in twisted bilayer graphene at flux

J Herzog-Arbeitman, A Chew, BA Bernevig - Physical Review B, 2022 - APS
Bloch's theorem is the centerpiece of topological band theory, which itself has defined an
era of quantum materials research. However, Bloch's theorem is broken by a perpendicular …

Classifying topology in photonic crystal slabs with radiative environments

S Wong, TA Loring, A Cerjan - npj Nanophotonics, 2024 - nature.com
In the recent years, photonic Chern materials have attracted substantial interest as they
feature topological edge states that are robust against disorder, promising to realize defect …

Theory of local topological markers for finite and periodic two-dimensional systems

N Baù, A Marrazzo - Physical Review B, 2024 - APS
The topological phases of two-dimensional time-reversal symmetric insulators are classified
by a Z 2 topological invariant. Usually, the invariant is introduced and calculated by …

Higher-order topology in twisted multilayer systems: a review

C Hua, DH Xu - arXiv preprint arXiv:2410.15643, 2024 - arxiv.org
In recent years, there has been a surge of interest in higher-order topological phases
(HOTPs) across various disciplines within the field of physics. These unique phases are …

Ferroelectric polarization controlled orbital Hall conductivity in a higher-order topological insulator: -phase monolayer

Y Hu, H Gao, W Ren - Physical Review B, 2024 - APS
The higher-order topological insulator is an extended concept of the conventional
topological insulator, which obeys the generalization of the standard bulk-boundary …

Embedding human knowledge in material screening pipeline as filters to identify novel synthesizable inorganic materials

B Das, K Ji, F Sheng, KM McCall, T Buonassisi - Faraday Discussions, 2025 - pubs.rsc.org
How might one embed a chemist's knowledge into an automated materials-discovery
pipeline? In generative design for inorganic crystalline materials, generating candidate …

[HTML][HTML] Classifying photonic topology using the spectral localizer and numerical K-theory

A Cerjan, TA Loring - APL Photonics, 2024 - pubs.aip.org
Recently, the spectral localizer framework has emerged as an efficient approach for
classifying topology in photonic systems featuring local nonlinearities and radiative …

Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical -Theory

A Cerjan, TA Loring - arXiv preprint arXiv:2411.03515, 2024 - arxiv.org
Recently, the spectral localizer framework has emerged as an efficient approach to
classifying topology in photonic systems featuring local nonlinearities and radiative …