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.
Misguich
G
G
Service de Physique Théorique, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France. gmisguich@cea.fr
Serban
D
D
Pasquier
V
V