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 …

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 …

The emergence of a fractal energy spectrum is the quintessence of the interplay between
two periodic parameters with incommensurate length scales. crystals can emulate such …

Modern technological advances allow for the study of systems with additional synthetic
dimensions. Higher-order topological insulators in topological states of matters have been …

Spatial stiffness modulations defined by the sampling of a two-dimensional surface provide
one-dimensional elastic lattices with topological properties that are usually attributed to two …

A Thouless pump can be regarded as a dynamical version of the integer quantum Hall
effect. In a finite-size configuration, such a topological pump displays edge modes that …

Topological boundary and interface modes are generated in an acoustic waveguide by
simple quasiperiodic patterning of the walls. The procedure opens many topological gaps in …

In this work, we investigate the dynamic behavior and the topological properties of
quasiperiodic elastic metasurfaces, namely arrays of mechanical oscillators arranged over …

We investigate the dynamic behavior and topology of quasiperiodic resonant
metastructures. We show that the quasiperiodic arrangement of resonators introduces …

The quantum valley-Hall effect (QVHE) manifests in both classical and quantum materials as
the emergence of pairs of quasichiral bands along certain interfaces. This bulk-boundary …