Topological wave insulators: a review

F Zangeneh-Nejad, A Alù… - Comptes …, 2020 - comptes-rendus.academie-sciences …
Originally discovered in condensed matter systems, topological insulators (TIs) have been
ubiquitously extended to various fields of classical wave physics including photonics …

Dirac hierarchy in acoustic topological insulators

LY Zheng, J Christensen - Physical Review Letters, 2021 - APS
Dirac cones are essential features of the electronic band structure of materials like graphene
and topological insulators (TIs). Lately, this avenue has found a growing interest in classical …

Chiral symmetry breaking of tight-binding models in coupled acoustic-cavity systems

ZG Chen, L Wang, G Zhang, G Ma - Physical Review Applied, 2020 - APS
A finite one-dimensional Su-Schrieffer-Heeger (SSH) chain exhibits “zero-energy” boundary-
mode solutions that are protected by chiral symmetry. The breaking of chiral symmetry leads …

Acoustic Su-Schrieffer-Heeger lattice: Direct mapping of acoustic waveguides to the Su-Schrieffer-Heeger model

A Coutant, A Sivadon, L Zheng, V Achilleos, O Richoux… - Physical Review B, 2021 - APS
Topological band theory strongly relies on prototypical lattice models with particular
symmetries. We report here on a theoretical and experimental work on acoustic waveguides …

Quantum monte carlo simulations of the 2d su-schrieffer-heeger model

B Xing, WT Chiu, D Poletti, RT Scalettar, G Batrouni - Physical Review Letters, 2021 - APS
Over the past several years, a new generation of quantum simulations has greatly expanded
our understanding of charge density wave phase transitions in Hamiltonians with coupling …

[HTML][HTML] Topologically protected edge modes in one-dimensional chains of subwavelength resonators

H Ammari, B Davies, EO Hiltunen, S Yu - Journal de Mathématiques Pures …, 2020 - Elsevier
The goal of this paper is to advance the development of wave-guiding subwavelength
crystals by developing designs whose properties are stable with respect to imperfections in …

Attractive Su-Schrieffer-Heeger-Hubbard model on a square lattice away from half-filling

B Xing, C Feng, R Scalettar, GG Batrouni, D Poletti - Physical Review B, 2023 - APS
The Su-Schrieffer-Heeger (SSH) model, with bond phonons modulating electron tunneling,
is a paradigmatic electron-phonon model that hosts an antiferromagnetic order to bond …

Electronic and topological properties of extended two-dimensional Su-Schrieffer-Heeger models and realization of flat edge bands

H Ma, Z Zhang, PH Fu, J Wu, XL Yu - Physical Review B, 2022 - APS
One-dimensional Su-Schrieffer-Heeger (SSH) chains are one of the simplest topological
models and have been studied extensively. The two-dimensional (2 D) version has been …

-root weak, Chern, and higher-order topological insulators, and -root topological semimetals

AM Marques, RG Dias - Physical Review B, 2021 - APS
Recently, we have introduced [AM Marques, Phys. Rev. B 103, 235425 (2021) 2469-9950
10.1103/PhysRevB. 103.235425] the concept of 2 n-root topology and applied it to one …

Type-II corner modes in topolectrical circuits

SM Rafi-Ul-Islam, ZB Siu, H Sahin, MBA Jalil - Physical Review B, 2022 - APS
We study the rich properties of a topolectrical (TE) circuit array consisting of lossless basic
electrical components, such as capacitors and inductors, which can be designed to exhibit …