We study the mechanism of loop condensation in the quantum dimer model on the triangular lattice. The triangular lattice quantum dimer model displays a topologically ordered quantum liquid phase in addition to conventionally ordered phases with broken symmetry. In the context of systems with extended loop-like degrees of freedom, the formation of such topological order can be described in terms of loop condensation. Using Monte Carlo calculations with local and directed-loop updates, we compute geometric properties of the transition graph loop distributions of several triangular lattice quantum dimer wavefunctions that display dimer-liquid to dimer-crystal transitions and characterize these in terms of loop condensation.
@article{arxiv.1106.1882,
title = {Loop condensation in the triangular lattice quantum dimer model},
author = {C. M. Herdman and K. B. Whaley},
journal= {arXiv preprint arXiv:1106.1882},
year = {2015}
}
Comments
22 pages, 12 figures, fixed references and minor typos