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Published February 26, 2014 | Submitted + Published
Journal Article Open

Loops, sign structures, and emergent Fermi statistics in three-dimensional quantum dimer models

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.

Additional Information

© 2014 American Physical Society. Received 6 October 2013; revised manuscript received 12 February 2014; published 26 February 2014. We thank Senthil Todadri and Jeongwan Haah for invaluable discussions. Y.Q. is supported by NSFC Grant No. 11104154. L.F. is supported by the DOE Office of Basic Energy Sciences, Division of Materials Sciences and Engineering, under Award No. DE-SC0010526. We thank the hospitality of Tsinghua University during the LT26 Satellite conference "Topological Insulators and Superconductors," when this work was initiated.

Attached Files

Published - PhysRevB.89.085128.pdf

Submitted - 1310.1589v2.pdf

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August 19, 2023
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October 26, 2023