Ground-state properties of the Rokhsar-Kivelson dimer model on the triangular lattice

Details Ground-state properties of the Rokhsar-Kivelson dimer model on the triangular lattice Ground-state properties of the Rokhsar-Kivelson dimer model on the triangular lattice

2002-06-24

arxiv.org/abs/cond-mat/0206451v1

Phys. Rev. B 66, 174405 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 9 figures

Scientific paper

10.1103/PhysRevB.66.174405

We explicitly show that the Rokhsar-Kivelson dimer model on the triangular lattice is a liquid with topological order. Using the Pfaffian technique, we prove that the difference in local properties between the two topologically degenerate ground states on the cylinders and on the tori decreases exponentially with the system size. We compute the relevant correlation length and show that it equals the correlation length of the vison operator.

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