Optical Second-Harmonic Generation and Rectification in a Superconductor with Cooper-Pairing
In recent years there has been a substantial increase in the interest for optical second-harmonic generation in centrosymmetric metals1. From a fundamental point of view this interest stems from the fact that the 2ω-generation is surface sensitive on the monolayer level and involves nonlocal bulk and surface effects 2 – 7. Theoretically, progress in our understanding has been obtained within the framework of the jellium approach. In the present paper, I shall extend the analysis of the nonlinear second-harmonic bulk response tensor to the superconduction state. Furthermore, the light-induced nonlinear dc-response of the Cooper-paired superconductor is derived. Knowledge of the dc-current density is important since a superconductor held at a temperature below the transition temperature is a perfect dc-conductor.
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