local density of excitons, into both the PHOLED charge transport layers and the EML. This is, to our knowledge, the fi rst time that sensing layers have been used to measure charge and exciton leakage into transport layers, and to directly determine the dependence of charge balance and the extent of the exciton formation zone on current. Our results suggest a modifi ed structure with improved blocking characteristics leading to higher effi ciency and potentially longer device lifetime.An understanding of charge transport and the exciton density distribution is necessary to determine the effi cacy of a particular choice of blocking layer material. Charges injected at the electrodes are transported into the EML where they eventually recombine to form excitons, or are transported into an adjacent layer and lost to nonradiative recombination or are collected at the electrodes. Driftdiffusion with thermionic emission over energy barriers between layers can describe the charge balance and carrier distribution in the PHOLED [ 5,8,9 ] yielding the following expressionswith the boundary conditions ofand ( ) 0 a b i . Here, x = 0 corresponds to the position at the anode side of the EML, and x = L at the cathode. Also, E(x,t) is the electric fi eld at x and time t , q is the charge, k is Boltzmann's constant, T is the temperature, and ε is the dielectric constant of the material. Also, J x t n ( , ) is the electron current density, x t n ( , ) μ is its mobility, n x t ( , ) is the electron density, p x t ( , ) is the hole density, Va is the applied voltage, Vbi is the built-in voltage, E 0 is a reference electric fi eld, φ is the frontier orbital energy difference across an interface, and t E t d ( ) ( ) φ Δ = is the potential difference across the interface of width d . The hole current density, J x t p ( , ), is found using an expression analogous to Equation ( 1) . The Einstein relation is used to relate mobility to the diffusion constant, and thermionic emission over barriers has a Poole-Frenkel type fi eld dependence common to organics. [ 10 ] The solution to these equations determine the charge balance, given by
Charge Balance and Exciton Confi nement in Phosphorescent Organic Light Emitting DiodesCaleb Coburn , Jaesang Lee , and Stephen R. Forrest*
DOI: 10.1002/adom.201600067We study the charge balance and exciton confi nement in blue phosphorescent organic light emitting devices (PHOLEDs) by strategically placing ultrathin, red phosphorescent layers whose emission intensity is proportional to the local density of excitons at several locations within the device. Based on measured exciton distributions, we derive a model for understanding those materials properties that determine charge and exciton transport and confi nement, as well as for interpreting the experimental exciton profi les. We fi nd that triplet exciton leakage results from the very large energy gaps characteristic of blue phosphors, and demonstrate increased lifetime and efficiency in devices with improved exciton confi nement within the diode emission...