Coriolis Force Induced Quantum Hall Effect for Phonons

Understand

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.