Double Semion Phase in an Exactly Solvable Quantum Dimer Model on the Kagome Lattice

Abstract

Quantum dimer models typically arise in various low energy theories like those of frustrated antiferromagnets. We introduce a quantum dimer model on the kagome lattice which stabilizes an alternative ${\mathbb{Z}}_2$ topological order, namely the so-called "double semion" order. For a particular set of parameters, the model is exactly solvable, allowing us to access the ground state as well as the excited states. We show that the double semion phase is stable over a wide range of parameters using numerical exact diagonalization. Furthermore, we propose a simple microscopic spin Hamiltonian for which the low-energy physics is described by the derived quantum dimer model.

arXiv comment7 pages, 5 figures

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• Unifying Kitaev magnets, kagome dimer models and ruby Rydberg spin liquids
• Ising Anyons in Frustration-Free Majorana-Dimer Models
• Evidence for deconfined $U(1)$ gauge theory at the transition between toric code and double semion
• From the $SU(2)$ Quantum Link Model on the Honeycomb Lattice to the Quantum Dimer Model on the Kagomé Lattice: Phase Transition and Fractionalized Flux Strings
• Simulating topological tensor networks with Majorana qubits
• Double-semion topological order from exactly solvable quantum dimer models
• A gapped SU(3) spin liquid with Z_3 topological order
• Re-entrance effect in the high-temperature critical phase of the quantum dimer model on the square lattice
• A bilayer Double Semion Model with Symmetry-Enriched Topological Order
• Non-Abelian Anyons in Periodically Driven Abelian Spin Liquids
• $Z_3$ topological order in the quantum dimer-pentamer model
• The ${\mathbb{Z}}_2$ toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit
• Symmetrizing the Constraints -- Density Matrix Renormalization Group for Constrained Lattice Models
• Exactly Solvable Topological Phase Transition in a Quantum Dimer Model