This document discusses several papers on using metamaterials to enhance the gain and directivity of patch antennas. It first provides an overview of metamaterials and their properties. It then summarizes three research papers that designed different metamaterial structures to act as superstrates above microstrip patch antennas. All three papers were able to significantly increase the gain of the patch antennas using near-zero index metamaterial superstrates designed with unit cells like the Jerusalem Cross, Double S-shape, and mnz-metasurfaces. Simulation results from the papers showed enhanced realized gains between 2.3 to 7.65 dB compared to reference patch antennas without metamaterial loading.