2014/06/30 by Yang Qi, Zheng‐Cheng Gu, Zheng-Cheng Gu +1 · 5 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Combinatorics #Dimer #Ground state #Hexagonal lattice #Lattice (music) #Mathematics #Molecule #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum many-body systems #Quantum mechanics #Quantum superposition #Superposition principle #Symmetry protected topological order #Theoretical physics #Topological degeneracy #Topological order #Topology (electrical circuits) #Toric code #Valence bond theory #Wave function #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.92.155105
published as Phys. Rev. B 92, 155105 (2015) · 12pages, 10 figures; added the journal references
openalex publication_date 2015/10/06 · arxiv created 2015/10/08 · arxiv updated 2015/10/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We construct a generalized quantum dimer model on two-dimensional nonbipartite lattices, including the triangular lattice, the star lattice, and the kagome lattice. At the Rokhsar-Kivelson (RK) point, we obtain its exact ground states that are shown to be a fully gapped quantum spin liquid with the double-semion topological order. The ground-state wave function of such a model at the RK point is a superposition of dimer configurations with a nonlocal sign structure determined by counting the number of loops in the transition graph. We explicitly demonstrate the double-semion topological order in the ground states by showing the semionic statistics of monomer excitations. We also discuss possible implications of such double-semion resonating valence bond states to candidate quantum spin-liquid systems discovered experimentally and numerically in the past few years.