Observation of Modes in an Acoustic Floquet System

Z Cheng, RW Bomantara, H Xue, W Zhu, J Gong… - Physical Review Letters, 2022 - APS
Topological phases of matter have remained an active area of research in the last few
decades. Periodic driving is a powerful tool for enriching such exotic phases, leading to …

Square-root higher-order Weyl semimetals

L Song, H Yang, Y Cao, P Yan - Nature Communications, 2022 - nature.com
The mathematical foundation of quantum mechanics is built on linear algebra, while the
application of nonlinear operators can lead to outstanding discoveries under some …

Square-root non-Bloch topological insulators in non-Hermitian ring resonators

Z Lin, S Ke, X Zhu, X Li - Optics Express, 2021 - opg.optica.org
We investigate the topological skin effect in a ring resonator array which can be mapped into
the square root of a Su-Schrieffer-Heeger (SSH) model with non-Hermitian asymmetric …

3/2 magic angle quantization rule of flat bands in twisted bilayer graphene and its relationship to the quantum Hall effect

LA Navarro-Labastida, GG Naumis - Physical Review B, 2023 - APS
Flat band electronic modes in twisted graphene bilayers are responsible for
superconducting and other highly correlated electron-electron phases. Although some hints …

One-dimensional -root topological insulators and superconductors

AM Marques, L Madail, RG Dias - Physical Review B, 2021 - APS
Square-root topology is a recently emerged subfield describing a class of insulators and
superconductors whose topological nature is only revealed upon squaring their …

Square-root higher-order topology in rectangular-lattice acoustic metamaterials

SQ Wu, ZK Lin, Z **ong, B Jiang, JH Jiang - Physical Review Applied, 2023 - APS
Square-root topology offers a distinctive scheme towards topological phases with
unconventional spectral properties. In many cases, the formation of square-root topology is …

Realization of edge and corner states in photonic crystals with kagome lattices through topological insulator generators

YH He, YF Gao, Y He, XF Qi, JQ Si, M Yang… - Optics & Laser …, 2023 - Elsevier
High-order topological insulators can be realized via two-dimensional photonic crystals
(PCs) with different lattices including honeycomb, square and kagome lattices. In this paper …

th-root non-Hermitian Floquet topological insulators

L Zhou, RW Bomantara, S Wu - SciPost Physics, 2022 - scipost.org
Floquet phases of matter have attracted great attention due to their dynamical and
topological nature that are unique to nonequilibrium settings. In this work, we introduce a …

Two-dimensional Weyl nodal-line semimetal and antihelical edge states in a modified Kane-Mele model

X Dai, PH Fu, YS Ang, Q Chen - Physical Review B, 2024 - APS
The Kane-Mele model has been modified to achieve versatile topological phases. Previous
work [T. Frank, Phys. Rev. Lett. 120, 156402 (2018) 0031-9007 10.1103/PhysRevLett …

Realization of second-order photonic square-root topological insulators

W Yan, D Song, S **a, J **e, L Tang, J Xu… - ACS Photonics, 2021 - ACS Publications
Square-root higher-order topological insulators (HOTIs) are recently discovered new
topological phases, with intriguing topological properties inherited from a parent lattice …