The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

Recently, we witnessed a tremendous effort to conquer the realm of acoustics as a possible
playground to test with topologically protected sound wave propagation. In this article, we …

We investigate elastic periodic structures characterized by topologically nontrivial bandgaps
supporting backscattering suppressed edge waves. These edge waves are topologically …

Artificial gauge fields are currently realized in a wide range of physical settings. This
includes solid-state devices but also engineered systems, such as photonic crystals …

Topological elastic metamaterials have emerged as a new frontier in the quest of topological
phases in condensed matter physics. Their exotic topological properties open a wealth of …

Recently, higher-order topological insulators (HOTIs) as a novel frontier of topological
phases of matter have been induced in mechanical systems, opening new routes to …

We propose a quantum electrodynamics platform where quantum emitters interact with a
Hofstadter-ladder waveguide. We demonstrate several intriguing phenomena stemming …

Topology is the branch of mathematics studying the properties of an object that are
preserved under continuous deformations. Quite remarkably, the powerful theoretical tools …

Tunable topological insulators (TIs) with active tunability of frequency or path and better
adaptability to the dynamic environment than conventional TIs have attracted great interest …

Topological mechanics is rapidly emerging as an attractive field of research where
mechanical waveguides can be designed and controlled via topological methods. With the …