Solvable dimer model on the nonplanar ruby lattice
ORAL
Abstract
Inspired by recent work discussing the quantum simulation of dimer models with Rydberg atoms placed
on a ruby lattice [Phys. Rev. X 11, 031005 (2021)] we present analytical results for a special dimer model
on the {it non-bipartite} and {it non-planar} ruby lattice with additional links crossing the square plaquettes.
This exactly solvable model realizes a fully gapped and disordered dimer liquid phase with topological degeneracy
and deconfined fractional excitations.
Additionally, we elaborate on an exact mapping to $mathbb{Z}_2$ lattice gauge theory previously only investigated
in the context of planar dimer models.
on a ruby lattice [Phys. Rev. X 11, 031005 (2021)] we present analytical results for a special dimer model
on the {it non-bipartite} and {it non-planar} ruby lattice with additional links crossing the square plaquettes.
This exactly solvable model realizes a fully gapped and disordered dimer liquid phase with topological degeneracy
and deconfined fractional excitations.
Additionally, we elaborate on an exact mapping to $mathbb{Z}_2$ lattice gauge theory previously only investigated
in the context of planar dimer models.
*This work was supported in part by the National Science Foundation under Grant No.~DMR-2143635 (TI) and Grant No.~DMR-2029401 (AS).
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Presenters
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Julia S Wildeboer
- Brookhaven National Laboratory