Coriolis Force Induced Quantum Hall Effect for Phonons

TL;DR

This paper proposes a 2D honeycomb phononic system where Coriolis force from rotation induces a quantum Hall effect, leading to topologically protected edge states similar to electronic systems.

Contribution

It introduces a novel method to realize phononic quantum Hall effect using Coriolis force in a rotating system, demonstrating topological edge states in a mass-spring lattice.

Findings

Coriolis force breaks time-reversal symmetry in the system.

Presence of topologically non-trivial band gaps with edge states.

Calculation of Chern numbers confirms topological nature.

Abstract

A two-dimensional mass-spring system with Honeycomb lattice for mimicking phononic quantum Hall effect is proposed. Its band structure shows the existence of Dirac cones and unconventional edge states that is similar to the vibrational modes in graphene. Interestingly, as the system is placed on a constantly rotational coordinate system, the Coriolis force resulted from the non-inertial reference frame provides a possibility to break the time-reversal symmetry. Thus, caused from topologically non-trivial band gaps, phononic edge states are present between bands, which are verified by the calculation of Chern numbers for corresponding bands.