Loop condensation in the triangular lattice quantum dimer model

Abstract

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.

22 pages, 12 figures, fixed references and minor typos

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Cited by in corpus (7)

• Unifying Description of Competing Orders in Two Dimensional Quantum Magnets
• Magnetization plateaus of an easy-axis Kagomé antiferromagnet with extended interactions
• Focus on topological quantum computation
• Quantum Phase Transition between Z2 spin liquid and columnar Valence Bond Crystals on a Triangular lattice
• Entanglement Entropy at Generalized Rokhsar-Kivelson Points of Quantum Dimer Models
• Ergodic Archimedean dimers
• Geometric properties of loop condensed phases on the square lattice