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First Principles Calculation of Topological Invariants by Means of the Photonic Green’s Function

Prudêncio, F. ; Silveirinha, M. G.

First Principles Calculation of Topological Invariants by Means of the Photonic Green’s Function , Proc The 14th European Conference on Antennas and Propagation, Copenhagen, Denmark, Vol. 1, pp. 1 - 1, March, 2020.

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Abstract
The Chern topological numbers of a material platform are usually written in terms of the Berry curvature which depends on the normal modes of the system. Here, we use a gauge invariant Green’s function method to determine from “first principles” the topological invariants of photonic crystals. The proposed formalism does not require the calculation of the photonic band-structure, and can be easily implemented using the operators obtained with a standard plane-wave expansion.