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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.

Presenters

  • Julia S Wildeboer

    Brookhaven National Laboratory

Authors

  • Julia S Wildeboer

    Brookhaven National Laboratory

  • Zohar Nussinov

    Washington University in St. Louis

  • Thomas Iadecola

    Iowa State University

  • Alexander Seidel

    Washington University, St. Louis