Topological sound pumping of zero-dimensional bound states Articles uri icon

publication date

  • September 2020

start page

  • 1

end page

  • 5

issue

  • 9, 2000065

volume

  • 3

Electronic International Standard Serial Number (EISSN)

  • 2511-9044

abstract

  • Topological phases have spurred unprecedented abilities for sound, light, and matter engineering and recent progress has shown how waves not only confine at the interfaces between topologically distinct insulators, but in the form of zero‐dimensional non‐propagating states bound to defects or corners. Majorana‐like bound states have recently been observed in man‐made KekulĂ© textured lattices. It is shown here how the acoustic version of the associated Jackiw&-Rossi vortex embodies a topological pumping process, in which the spectral flow of corner states adiabatically merge with the said Majorana&;8208#like state. Moreover, it is argued how the chirality of the KekulĂ© vortex additionally maps into a 2D quantum‐Hall system comprising spatially separated sonic hotspots. It is foreseen that the findings should provide novel exotic tools to enable contemporary control over sound.

keywords

  • topological insulators; topological defects; majorana bound states