The phase diagram of the hexagonal lattice quantum dimer model

Details The phase diagram of the hexagonal lattice quantum dimer model The phase diagram of the hexagonal lattice quantum dimer model

2001-06-14

arxiv.org/abs/cond-mat/0106288v1

Phys. Rev. B 64, 144416 (2001)

Physics

Condensed Matter

Statistical Mechanics

7 pages Latex, 7 figures automatically included

Scientific paper

10.1103/PhysRevB.64.144416

We discuss the phase diagram of the quantum dimer model on the hexagonal (honeycomb) lattice. In addition to the columnar and staggered valence bond solids which have been discussed in previous work, we establish the existence of a plaquette valence bond solid. The transition between the plaquette and columnar phases at $v/t=-0.2 \pm 0.05$ is argued to be first order. We note that this model should describe valence bond dominated phases of frustrated Heisenberg models on the hexagonal lattice and discuss its relation to recent exact diagonalisation work by J.B. Fouet etal on the J_1-J_2 model on the same lattice. Our results also shed light on the properties of the transverse field Ising antiferromagnet on the triangular lattice and the classical Ising antiferromagnet on the stacked triangular lattice, which are related to dimer models by duality.

Affiliated with

Also associated with

No associations

Rating

The phase diagram of the hexagonal lattice quantum dimer model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The phase diagram of the hexagonal lattice quantum dimer model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The phase diagram of the hexagonal lattice quantum dimer model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-174378