Fractality-induced topological phase squeezing and devil's staircase

10Citations
Citations of this article
7Readers
Mendeley users who have this article in their library.

Abstract

We propose and experimentally demonstrate the first example of Chern fractal insulators in an acoustic Sierpinski lattice. Through introducing fractality into the well-known Haldane model, we find that the topological phase diagram is significantly squeezed by about 0.5 times, compared with that of the original Haldane model. The energy spectra for different generations of a fractal lattice exhibits a hierarchy of self-similar energy bands in the form of a devil's staircase. With local acoustic measurements, we fabricate the sonic sample based on the theoretical model and experimentally confirm the fractality-induced squeezing and observe the one-way edge states that are protected by a robust mobility gap. Our work demonstrates the fundamental interplay between the fractality and topological Haldane insulator, and may provide new directions for the advanced control of sound waves.

Cite

CITATION STYLE

APA

Li, J., Sun, Y., Mo, Q., Ruan, Z., & Yang, Z. (2023). Fractality-induced topological phase squeezing and devil’s staircase. Physical Review Research, 5(2). https://doi.org/10.1103/PhysRevResearch.5.023189

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free