Coriolis Force Induced Quantum Hall Effect for Phonons
Mesoscale and Nanoscale Physics
2015-08-03 v1
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.
Cite
@article{arxiv.1411.2806,
title = {Coriolis Force Induced Quantum Hall Effect for Phonons},
author = {Yao-Ting Wang and Pi-Gang Luan and Shuang Zhang},
journal= {arXiv preprint arXiv:1411.2806},
year = {2015}
}
Comments
8 pages, 5 figures