Quantum dimer model on the kagome lattice: solvable dimer-liquid and ising gauge theory.

We introduce quantum dimer models on lattices made of corner-sharing triangles. These lattices include the kagome lattice and can be defined in arbitrary geometry. They realize fully disordered and gapped dimer-liquid phase with topological degeneracy and deconfined fractional excitations, as well as solid phases. Using geometrical properties of the lattice, several results are obtained exactly, including the full spectrum of a dimer liquid. These models offer a very natural-and maybe the simplest possible-framework to illustrate general concepts such as fractionalization, topological order, and relation to Z2 gauge theories.

• Publication year

  2002

• Venue

  Physical Review Letters

• Publication date

  2002-04-19

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.89.137202arXiv cond-mat/0204428PMID 12225059
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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