Edge on-site potential effects in a honeycomb topological magnon insulator
![Avatar](https://cdn.sciencecast.org/storage/representations/proxy/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBdndLIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--a7637e3b924d1effd0a61f49913ca1f7ca93b739/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCem9MWm05eWJXRjBTU0lJYW5CbkJqb0dSVlE2RkhKbGMybDZaVjkwYjE5c2FXMXBkRnNIYVdscGFRPT0iLCJleHAiOm51bGwsInB1ciI6InZhcmlhdGlvbiJ9fQ==--5ba27cb4f1bd69f088983df12cb72f04552f47be/IMG_20211107_171215.jpg)
![Poster](https://cdn.sciencecast.org/storage/representations/proxy/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBaHdZIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--781ef28e2896b8037fc35a35c16e97ff5ad186c5/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaDdCem9MWm05eWJXRjBTU0lJY0c1bkJqb0dSVlE2RkhKbGMybDZaVjkwYjE5c2FXMXBkRnNIYVFJZ0Eya0NJQU09IiwiZXhwIjpudWxsLCJwdXIiOiJ2YXJpYXRpb24ifX0=--d57060f74f8c9352885041fe4e79f04ccd984687/Untitled.png)
Edge on-site potential effects in a honeycomb topological magnon insulator
Pierre A. Pantaleón, Y. Xian
AbstractThe difference between the edge on-site potential and the bulk values in a magnonic topological honeycomb lattice leads to the formation of edge states in a bearded boundary, and the same difference is found to be the responsible for the absence of edge states in a zig-zag termination. In a finite lattice, the intrinsic on-site interactions along the boundary sites generate an effective defect and Tamm-like edge states appear for both zig-zag and bearded terminations. If a non-trivial gap is induced, Tamm-like and topologically protected edge states appear in the band structure. The effective defect can be strengthened by an external on-site potential and the dispersion relation, velocity and magnon-density of the edge states become tunable.