Synthetically non-Hermitian nonlinear wave-like behavior in a topological mechanical metamaterial

H **u, I Frankel, H Liu, K Qian… - Proceedings of the …, 2023 - National Acad Sciences
Topological mechanical metamaterials have enabled new ways to control stress and
deformation propagation. Exemplified by Maxwell lattices, they have been studied …

[HTML][HTML] Topological edge breathers in a nonlinear Su-Schrieffer-Heeger lattice

M Johansson - Physics Letters A, 2023 - Elsevier
We show the existence of breathing edge modes in the Su-Schrieffer-Heeger model with
cubic (Kerr) on-site nonlinearity, bifurcating from stationary edge solitons with propagation …

Nonlinear interference challenging topological protection of chiral edge states

B Michen, JC Budich - Physical Review A, 2023 - APS
We report on a nonlinear scattering effect that challenges the notion of topological protection
for wave packets propagating in chiral edge modes. Specifically, in a Floquet topological …

Delocalization and higher-order topology in a nonlinear elastic lattice

J Yi, CQ Chen - New Journal of Physics, 2024 - iopscience.iop.org
Topological elastic waves provide novel and robust ways for manipulating mechanical
energy transfer and information transmission, with potential applications in vibration control …

Bloch band structures and linear response theory of nonlinear systems

F Li, J Wang, D Cui, K Xue, XX Yi - International Journal of Modern …, 2024 - World Scientific
In this paper, we investigate the Bloch bands and develop a linear response theory for
nonlinear systems, where the interplay between topological parameters and nonlinearity …

Engineering the Bogoliubov Modes through Geometry and Interaction: From Collective Edge Modes to Flat-band Excitations

M Darvishi, F Pouresmaeeli, SH Abedinpour - arxiv preprint arxiv …, 2024 - arxiv.org
We propose a procedure to engineer solid-state lattice models with superlattices of
interaction-coupled Bose-Einstein condensates. We show that the dynamical equation for …

Emergence of purely nonlinear localized states with frequencies exited from spectral bands

H Song, H Xu - arxiv preprint arxiv:2303.05247, 2023 - arxiv.org
In this work, we revisit the classic model of diatomic chain with cubic nonlinearity and
investigate the formation mechanism of nonlinear localized time-periodic solutions …

From soft matter to topological mechanical metamaterials

LI Feng, T Zheng, MA Fang-Yuan, Z Di - PHYSICS, 2024 - wuli.iphy.ac.cn
Soft matter is a crucial area of research in physics, chemistry, and biology. Among these
systems, isostatic systems are particularly intriguing as they lie on the verge of mechanical …

从软物质到拓扑力学超材料

**锋, 汤**, 马方垣, 周迪 - 物理, 2024 - wuli.iphy.ac.cn
软物质是物理学, 化学和生物学的重要研究对象. 在软物质中, 等静定系统恰好处在力学稳定和非
稳定的边缘, 展现出丰富的物理性质, 普遍存在于自然界和工程领域, 如颗粒物质 …

Topological mechanical metamaterials and nonlinearity

G Theocharis, R Chaunsali - nonlineaire.univ-lille1.fr
Following the recent discovery of topological insulators in condensed matter physics, a new
notion of topology has emerged in association with the intrinsic wave dispersion of a …