Theoretical analysis of Kerr nonlinearity in topological insulators, indicating novel light-matter interactions.
We develop a diagrammatic theory of cavity-mediated photon-photon interactions in a topological insulator using the SSH model. The fourth-order vertex Γ⁽⁴⁾(ω₁,ω₂) governs spectral entanglement and Kerr nonlinearity, leading to a nonlinear topological phase diagram. We also compute the electronic self-energy from vacuum photon exchange and identify symmetry-imposed limits on band renormalization. These results link band geometry to the emergence of light-matter correlations.
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Bittner et al. (2025) studied this question.
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