easily tunable band gaps. [4][5][6][7] LEDs based on such materials have been attracting increasing attention since the first roomtemperature perovskite LEDs (PeLED) developed in 2014. [13] The development of PeLEDs has progressed very rapidly, realizing a record-high external quantum efficiency (EQE) of 11.7% in 2016. [14] Similar to other LED categories, e.g., organic LEDs (OLEDs) [15] and quantumdot [16,17] LEDs, the EQE of PeLEDs is determined by the internal quantum efficiency (IQE) and light out-coupling efficiency (η), which is expressed asThe IQE is the product of the charge carrier balance (γ), the fraction of excitons capable of radiative decay at room temperature (η S/T ), and the effective radiative quantum yield (q eff ). For 2D perovskite materials with relatively large binding energy, the η S/T could be unity when heavy atoms are involved in the organometallic complex (similar to that in phosphorescent materials [18] ). For 3D perovskite materials with relatively small binding energy, the emission should be bandto-band transitions of free carriers in direct gap semiconductors, and the η S/T term should not be involved in the equation in this case. All in all, this equation shows that the EQE is largely influenced by the η besides the IQE. Thus, studying the limits of η is of great importance for achieving high-EQE PeLEDs.As the fast development of PeLEDs, a conflict appears between the experimental and theoretical results. In general, the η can be estimated according to the ray-optics theory, [19] Light-emitting diodes (LEDs) based on organic-inorganic hybrid perovskites, in particular, 3D and quasi-2D ones, are in the fast development and their external quantum efficiencies (EQEs) have exceeded 10%, making them competitive candidates toward large-area and low-cost light-emitting applications allowing printing techniques. Similar to other LED categories, light out-coupling efficiency is an important parameter determining the EQE of perovskite LEDs (PeLEDs), which, however, is scarcely studied, limiting further efficiency improvement and understanding of PeLEDs. In this work, for the first time, optical energy losses in PeLEDs are investigated through systematic optical simulations, which reveal that the 3D and quasi-2D PeLEDs can achieve theoretically maximum EQEs of ≈25% and ≈20%, respectively, in spite of their high refractive indices. These results are consistent with the reported experimental data. This work presents primary understanding of the optical energy losses in PeLEDs and will spur new developments in the aspects of device engineering and light extraction techniques to boost the EQEs of PeLEDs.
Perovskite Light-Emitting DiodesOrganic-inorganic perovskite materials have attracted extensive interest due to their fascinating semiconducting properties, such as high absorption coefficient, long carrier diffusion length, and small exciton binding energy. [1][2][3] Moreover, these materials are easily processed via solution-based techniques, showing great potential applications in low-cost op...