Loops, sign structures and emergent Fermi statistics in three-dimensional quantum dimer models
arXiv:1310.1589 · doi:10.1103/PhysRevB.89.085128
Abstract
We introduce and study three-dimensional quantum dimer models with positive resonance terms. We demonstrate that their ground state wave functions exhibit a nonlocal sign structure that can be exactly formulated in terms of loops, and as a direct consequence, monomer excitations obey Fermi statistics. The sign structure and Fermi statistics in these "signful" quantum dimer models can be naturally described by a parton construction, which becomes exact at the solvable point.
9 pages, 12 figures
References in corpus (5)
- Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
- D-wave correlated Critical Bose Liquids in two dimensions
- Extended quantum U(1)-liquid phase in a three-dimensional quantum dimer model
- Statistics of holes and nature of superfluid phases in Quantum dimer models
- Lattice models for non-Fermi liquid metals