A Quantum Spin-Hall Insulator (QSHI) is implemented into a simple mass-spring Kagome lattice. The transition from the trivial state to the topological one is described by an invariant Chern number function of a contrast parameter. The band diagram and helical edge states characteristic of QSHI are obtained by a combination of numerical and analytical methods. In particular, these states are shown to be Stoneley wave solutions to a set of asymptotic continuous motion equations. Last, scatterless propagation of polarized topological edge waves around sharp corners is demonstrated and robustness is assessed through a parametric study.
@article{arxiv.1804.09131,
title = {Elastic quantum spin-Hall effect in Kagome lattices},
author = {Hui Chen and Hussein Nassar and Andrew N. Norris and Gengkai Hu and Guoliang Huang},
journal= {arXiv preprint arXiv:1804.09131},
year = {2018}
}