For finite 2D photonic structures, the per-area edge circulation index converges to the bulk gap Chern number as the domain grows, conditional on unproved Green function bounds.
Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-Body Schrodinger Operations
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Bulk-edge correspondence in finite photonic structure
For finite 2D photonic structures, the per-area edge circulation index converges to the bulk gap Chern number as the domain grows, conditional on unproved Green function bounds.