Unveiling the physics of the doped phase of the Kagome t-J model

We investigate the ground state properties of the Kagome lattice $t-J$ model at low doping. We propose a new state of matter. Our results suggest an interesting phase with a balance of spin-exchange and kinetic exchange through the building blocks of stars and their internal hexagons, being linked by triangles. The particles favor to hop in the hexagons, while the spin-exchange is taking place mainly on the stars. The combined effect leads to the formation of the "Star of David" valence bond crystal. We discuss our result in connection with static impurities, and show the likely relevance to the diluted Kagome lattice Heisenberg model, describing actual compounds.