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