An organic light-emitting diode (OLED) display may have an array of organic light-emitting diode pixels that each have OLED layers interposed between a cathode and an anode. Voltage may be applied to the anode of each pixel to control the magnitude of emitted light. The conductivity of the OLED layers may allow leakage current to pass between neighboring anodes in the display. To reduce leakage current and the accompanying cross-talk in a display, the pixel definition layer may disrupt continuity of the OLED layers. The pixel definition layer may have an undercut to disrupt continuity of some but not all of the OLED layers. The undercut may be defined by three discrete portions of the pixel definition layer. The undercut may result in a void that is interposed between different portions of the OLED layers to break a leakage path formed by the OLED layers.