Square-root topology is one of the newest additions to the ever expanding field of
topological insulators (TIs). It characterizes systems that relate to their parent TI through the …

The square-root operation can generate novel topological phases, whose nontrivial
topological properties are inherited from the parent Hamiltonian. Here we report the acoustic …

The square-root operation provides a new scheme to create topological phases with
unconventional spectrum properties. With the square-root operation, the square-root …

In this numerical study, we propose dual-modulated topological pillared phononic crystal
(PnC) plates and demonstrate their application in achieving frequency-selective …

Topological circuits become a powerful platform for realizing and observing topological
states with significant flexibility and tunability. In this work, we experimentally realized three …

Topological boundary states have attracted widespread fascination due to their series of
intriguing properties. In this paper, we investigate the multiple boundary states within the two …