Loops, sign structures, and emergent Fermi statistics in three-dimensional quantum dimer models
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Ivanov-2014-Loops sign structures.pdf
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Author(s)
Ivanov, Vsevolod
Qi, Yang
Fu, Liang
Date Issued
February 2014
Journal
Physical Review B
Publisher
American Physical Society
Citation
Ivanov, Vsevolod, Yang Qi, and Liang Fu. “Loops, Sign Structures, and Emergent Fermi Statistics in Three-Dimensional Quantum Dimer Models.” Phys. Rev. B 89, no. 8 (February 2014). © 2014 American Physical Society
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.89.085128
