Journal
COMMUNICATIONS PHYSICS
Volume 2, Issue -, Pages -Publisher
NATURE PUBLISHING GROUP
DOI: 10.1038/s42005-019-0151-7
Keywords
-
Categories
Funding
- National Science Foundation [CMMI-1537294, EFRI-1641069, DMR-1809915]
- Mina Rees Dissertation Fellowship at Graduate Center of CUNY
- W. M. Keck Foundation
Ask authors/readers for more resources
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 interplay and also exhibit a topological bulk-boundary correspondence, enabled by their nontrivial topology in virtual dimensions. Here we propose, fabricate and experimentally test a reconfigurable one-dimensional (1D) acoustic array, in which the resonant frequencies of each element can be independently fine-tuned by a piston. We map experimentally the full Hofstadter butterfly spectrum by measuring the acoustic density of states distributed over frequency while varying the long-range order of the array. Furthermore, by adiabatically changing the phason of the array, we map topologically protected fractal boundary states, which are shown to be pumped from one edge to the other. This reconfigurable crystal serves as a model for future extensions to electronics, photonics and mechanics, as well as to quasicrystalline systems in higher dimensions.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available