Topology in Shallow-Water Waves: A Violation of Bulk-Edge Correspondence

  title={Topology in Shallow-Water Waves: A Violation of Bulk-Edge Correspondence},
  author={Gian Michele Graf and Hansueli Jud and Cl{\'e}ment Tauber},
  journal={Communications in Mathematical Physics},
  pages={731 - 761}
We study the two-dimensional rotating shallow-water model describing Earth’s oceanic layers. It is formally analogue to a Schrödinger equation where the tools from topological insulators are relevant. Once regularized at small scale by an odd-viscous term, such a model has a well-defined bulk topological index. However, in presence of a sharp boundary, the number of edge modes depends on the boundary condition, showing an explicit violation of the bulk-edge correspondence. We study a continuous… 

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