Loops, sign structures and emergent Fermi statistics in three-dimensional quantum dimer models
Strongly Correlated Electrons
2014-02-28 v2 Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.1310.1589,
title = {Loops, sign structures and emergent Fermi statistics in three-dimensional quantum dimer models},
author = {Vsevolod Ivanov and Yang Qi and Liang Fu},
journal= {arXiv preprint arXiv:1310.1589},
year = {2014}
}
Comments
9 pages, 12 figures