Loop condensation in the triangular lattice quantum dimer model

Details Loop condensation in the triangular lattice quantum dimer model Loop condensation in the triangular lattice quantum dimer model

2011-06-09

arxiv.org/abs/1106.1882v2

New J.Phys.13:085001,2011

Physics

Condensed Matter

Statistical Mechanics

22 pages, 12 figures, fixed references and minor typos

Scientific paper

10.1088/1367-2630/13/8/085001

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.

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