We examine the validity of the zero duality gap properties for two important dual schemes: a generalized augmented Lagrangian dual scheme and a nonlinear Lagrange-type dual scheme. The necessary and sufficient conditions for the zero duality gap property to hold are established in terms of the lower semicontinuity of the perturbation functions.

Although ternary organic solar cells (OSCs) have unique advantages in improving device performance, the morphology assembly in the ternary‐phase would be more uncertain or complex than that in the binary‐phase. Here, we propose a new concept of oligomer‐assisted photoactive layers for high‐performance OSCs. The formed alloy‐like phase of the oligomer : host polymer blend enabled the oligomer‐assisted OSCs to fuse the advantages of both binary and ternary devices, exhibiting substantially enhanced performance and stability compared to the control devices. With the addition of oligomers, outstanding efficiencies of 17.33 % for a PM6 : Y6 device, 18.32 % for a PM6 : BTP‐eC9 device, and 17.13 % for a PM6/Y6 pseudo‐bilayer device were achieved, all of which are one of the highest values in their corresponding fields. The improved performance originated from the downshift energy levels, enhanced light absorption, optimized blend morphology, favorable charge dynamics, and reduced non‐radiative energy loss.

Semitransparent organic solar cells (ST‐OSCs) based on all narrow bandgap (all‐NBG) semiconductors are attractive for building integration. Unfortunately, advanced NBG Y‐series acceptors cannot well match with the NBG donors, resulting from their mismatched energy levels and poor compatibility. Herein, a facile terpolymer design strategy is adopted to improve the matching of Y6 with efficient NBG polymer donor PCE10. F or Cl atom functionalized benzodithiophene (BDT) are introduced into the PCE10 matrix to afford two series of terpolymers, namely PCE10‐BDT2F and PCE10‐BDT2Cl. Compared with PCE10, all terpolymers show deeper energy levels, higher extinction coefficients, enhanced face‐on orientation, and better compatibility with Y6. Consequently, significant breakthroughs are achieved for both opaque and semitransparent devices. Particularly, a record power conversion efficiency (PCE) of 13.80% is achieved by PCE10‐BDT2F:Y6‐based device, nearly 40% higher than PCE10:Y6‐based device. ST‐OSCs also achieve impressive PCEs of 12.00% and 10.85% with average visible transmittance (AVT) of 30.98% and 41.08%, respectively, and both PCEs are the highest values with AVT over 30% and 40%. An outstanding light utilization efficiency (LUE) of 4.46% further demonstrates the successful balance of PCE and AVT. These results demonstrate that the design of NBG terpolymers is a facile and highly encouraging strategy for promoting breakthroughs in ST‐OSCs.

Overlapping near-infrared absorption not only does not reduce short-circuit current density (JSC), but also can ensure a high average visible transmittance (AVT) and get a high open-circuit voltage (VOC) and power conversion efficiency (PCE) at the same time.

Terpolymers have been proven to be promising polymer donors for organic solar cells (OSCs). However, the aperiodic sequence distribution caused by random copolymerization dramatically interrupts the orderly stacking of the...