Phase diagram of the hexagonal lattice quantum dimer model - art. no. 144416

We discuss the phase diagram of the quantum dimer model on the hexagonal (h oneycomb) lattice. In addition to the columnar and staggered valence-bond s olids which have been discussed in previous work, we establish the existenc e of a plaquette valence-bond solid. The transition between the plaquette a nd columnar phases at v/t = -0.2+/-0.05 is argued to be first order. We not e that this model should describe valence-bond-dominated phases of frustrat ed Heisenberg models on the hexagonal lattice and discuss its relation to r ecent exact diagonalization work by Fouet et al. on the J(1)-J(2) model on the same lattice. Our results also shed light on the properties of the tran sverse field Ising antiferromagnet on the triangular lattice and the classi cal [sing antiferromagnet on the stacked triangular lattice, which are rela ted to dimer models by duality.