2022
DOI: 10.48550/arxiv.2201.05456
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Wannier Function Methods for Topological Modes in 1D Photonic Crystals

Vaibhav Gupta,
Barry Bradlyn

Abstract: In this work, we use Wannier functions to analyze topological phase transitions in one dimensional photonic crystals. We first review the construction of exponentially localized Wannier functions in one dimension, and show how to numerically construct them for photonic systems. We then apply these tools to study a photonic analog of the Su-Schrieffer-Heeger model. We use photonic Wannier functions to construct a quantitatively accurate approximate model for the topological phase transition, and compute the loc… Show more

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