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We introduce an operational definition of the Berry Phase RectificationTensor as the second-order change of polarization of a material in response toan ideal short pulse of an electric field. Under time-reversal symmetry thistensor depends exclusively on the Berry phases of the Bloch bands and not theirenergy dispersions, making it an intrinsic property to each material whichcontains contributions from both the inter-band shift currents and theintra-band Berry Curvature Dipole. We also introduce the Solar RectificationVector as a technologically relevant figure of merit for a bulk photo-currentgeneration under ideal black-body radiation in analogy with the classic solarcell model of Shockley and Queisser. We perform first-principles calculationsof the Berry Phase Rectification Tensor and the Solar Rectification Vector forthe Weyl semimetal TaAs and the insulator LiAsSe2 which features large shiftcurrents close to the peak of solar radiation intensity.

The Berry Phase Rectification Tensor and The Solar Rectification Vector