Phase diagram of the stuffed honeycomb lattice*

We introduce the stuffed honeycomb lattice (honeycomb lattice with a superimposed triangular lattice formed by sites at the center of each hexagon) that interpolates between the triangular and the honeycomb lattice. The triangular lattice limit is particularly interesting as DMRG results indicate a clear spin liquid(SL) region whose nature is still unclear. The classical phase diagram has a multi-critical point on the triangular lattice axis, with two new neighboring phases appearing only off axis. Both phases have free classical angles that allow both chiral and non-chiral configurations, with order-by-disorder selecting the non-chiral phases. The quantum phase diagram found via exact diagonalization hosts a large SL region that eats up most of the phase space of the new classical phases; we will present a symmetry analysis of the possible nature of the spin liquids in this region.