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We develop a microscopic theory of the inverse Faraday effect in d-wave superconductors. An extended version of the Keldysh-Nambu quasiclassical formalism is used to compute the dc-component of the current density induced by an external monochromatic radiation. Our work explicitly demonstrates how branch population imbalance produces nonvanishing nonlinear and nonlocal dc-response. We evaluate the magnitude of the induced current and obtain estimates for the induced static magnetization. Experimental implications of our theory and future extensions of our work are briefly discussed.

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