Thouless pumping provides one of the simplest manifestations of topology in quantum
systems and has attracted a lot of recent interest, both theoretically and experimentally …

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 …

In solid state physics, a bandgap (BG) refers to a range of energies where no electronic
states can exist. This concept was extended to classical waves, spawning the entire fields of …

The concept of topological energy bands and their manifestations have been demonstrated
in condensed matter systems as a fantastic paradigm toward unprecedented physical …

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

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 …

Abstract Space− time modulated metamaterials support extraordinary rich applications, such
as parametric amplification, frequency conversion, and non-reciprocal transmission. The …

Solids built out of active components have exhibited odd elastic stiffness tensors whose
active moduli appear in the antisymmetric part and which give rise to non-Hermitian static …

High quality nanomechanical oscillators are promising platforms for quantum entanglement
and quantum technology with phonons. Realizing coherent transfer of phonons between …

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 …