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Observation of an acoustic octupole topological insulator.

Abstract：

:Berry phase associated with energy bands in crystals can lead to quantised observables like quantised dipole polarizations in one-dimensional topological insulators. Recent theories have generalised the concept of quantised dipoles to multipoles, resulting in the discovery of multipole topological insulators which exhibit a hierarchy of multipole topology: a quantised octupole moment in a three-dimensional bulk induces quantised quadrupole moments on its two-dimensional surfaces, which in turn induce quantised dipole moments on one-dimensional hinges. Here, we report on the realisation of an octupole topological insulator in a three-dimensional acoustic metamaterial. We observe zero-dimensional topological corner states, one-dimensional gapped hinge states, two-dimensional gapped surface states, and three-dimensional gapped bulk states, representing the hierarchy of octupole, quadrupole and dipole moments. Conditions for forming a nontrivial octupole moment are demonstrated by comparisons with two different lattice configurations having trivial octupole moments. Our work establishes the multipole topology and its full hierarchy in three-dimensional geometries.

journal_name

Nat Commun

journal_title

Nature communications

authors

Xue H,Ge Y,Sun HX,Wang Q,Jia D,Guan YJ,Yuan SQ,Chong Y,Zhang B

doi

10.1038/s41467-020-16350-1

subject

Has Abstract

pub_date

2020-05-15 00:00:00

pages

2442

issue

1

issn

2041-1723

pii

10.1038/s41467-020-16350-1

journal_volume

11

pub_type

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