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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 International Conference on Metamaterials, Photonic Crystals and Plasmonics META, Lisbon, Portugal, Vol. 0, pp. 1 - 1, July, 2019.

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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.