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- W4384652246 abstract "A 2D Dirac operator with constant mass is a topological insulator, sitting in class D of the Kitaev table. Yet, it lacks a bulk invariant due to its non-compact Brillouin zone. We address the issue by letting the mass depend on the position operator in the vertical direction, interpolating between the original model and its negative-mass counterpart. The resulting Hamiltonian has a compact Brillouin zone and a well-defined bulk index. Relating the latter to the signed number of localized chiral modes propagating along the zero-mass line yields an example of bulk-edge correspondence. Identical methods reveal another instance of the correspondence, when applied to the rotating shallow-water model with variable angular velocity." @default.
- W4384652246 created "2023-07-19" @default.
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- W4384652246 date "2023-07-14" @default.
- W4384652246 modified "2023-10-18" @default.
- W4384652246 title "Topology of 2D Dirac operators with variable mass and an application to shallow-water waves" @default.
- W4384652246 doi "https://doi.org/10.48550/arxiv.2307.07548" @default.
- W4384652246 hasPublicationYear "2023" @default.
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