Fully compensated ferrimagnetism (fFIM) represents an intriguing magnetic state characterized by spin-split bands throughout the Brillouin zone, yet zero net magnetization. Unlike conventional antiferromagnets (cAFM) or altermagnets, fFIM generally does not require stringent crystallographic symmetry constraints and can exist in a wide range of space groups. This unique feature makes it a promising platform for exploring second-order nonlinear optical responses, such as the bulk photovoltaic (BPV) effect, which typically arises only in low-symmetry systems; however, the BPV effect in fFIM remains largely unexplored. In this work, we systematically investigate the generation and modulation of the BPV effect in fFIM. Using a tight-binding model on a hexagonal lattice, we elucidate the transition from cAFM to fFIM and the corresponding evolution of the BPV response under linearly polarized light. Our results reveal that fFIM exhibits richer BPV behaviors compared to cAFM. Based on spin group and magnetic group theory, we establish the nonrelativistic and relativistic BPV generation rules in hexagonal fFIM systems, encompassing systems with both weak and strong spin-orbit coupling. These findings are validated through first-principles calculations on a realistic material. This work not only advances the theoretical understanding of nonlinear photocurrents in unconventional magnetic systems but also offers new insights for designing high-performance optoelectronic devices via symmetry engineering.

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• Magnetism
• Photoconductivity
• Photocurrent
• Photovoltaic effect
• Spin-orbit coupling
• Ferrimagnets
• First-principles calculations
• Tight-binding model