Topological helical edge states in water waves over a topographical bottom

Shi qiao Wu, Ying Wu, Jun Mei

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


We present the discovery of topologically protected helical edge states in water wave systems, which are realized in water wave propagating over a topographical bottom whose height is modulated periodically in a two-dimensional triangular pattern. We develop an effective Hamiltonian to characterize the dispersion relation and use spin Chern numbers to classify the topology. Through full wave simulations we unambiguously demonstrate the robustness of the helical edge states which are immune to defects and disorders so that the backscattering loss is significantly reduced. A spin splitter is designed for water wave systems, where helical edge states with different spin orientations are spatially separated with each other, and potential applications are discussed.
Original languageEnglish (US)
Pages (from-to)023051
JournalNew Journal of Physics
Issue number2
StatePublished - Feb 23 2018


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